Auxiliary Function PROM
(Cat. No. 1772AF1)
for the Mini-PLC-2/15 Controller
User Manual
Table of Contents
Introduction 11. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
General 11. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Functions 12
Manual's Purpose 12
Audience 12
Installation 21. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
General 21. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Installation/Removal Handling Precautions 21
Installation 22
Removal 24
Programming 31. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
General 31. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
AF1 Function Sequence 32
AF1 Automatic Checks 33
Programming
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Specific Mathematical Functions
35. . . . . . . . . . . . . . .
Introduction
Chapter
1
General
Installation of the Auxiliary Function (AF) PROM (cat. no. 1772-AF1) in your
Mini-PLC-2/15 controller lets you expand its mathematical capabilities.
For simplification, throughout this manual we refer to the Auxiliary Function
PROM (cat. no. 1772-AF1) as the AF1.
The AF1 can only be used with the series A Mini-PLC-2/15 processor module,
firmware revision 11 or later (cat. no. 1772-LV). The AF4 can only be used
with the series B Mini-PLC-2/15 processor module, firmware revision 4 or later.
Programming the AF1 functions with either series Mini-PLC-2/15 processor
module requires the Industrial Terminal (cat. no. 1770-T3).
The AF1 has a 2K (16 bit) word section to which you can transfer your program
(for backup memory) and a 2K word section for higher mathematical functions.
you can only transfer your program into the AF1 with the series B PLC-2/15
controller (Table 1.A). Series A Mini-PLC-2/15 Processor EPROM (publication
1770-915) describes program transfer to PROM. With the series A PLC-2/15
controller, program transfer to the AF1 is not possible.
Table 1.A
Response to Controller
AF1
MiniPLC2/15 Controller
[1]
You can erase the 2K memory backup portion of the AF1 with ultraviolet light. However, the
2K section for higher mathematical functions would also be erased and all AF1 function
capabilities lost. Once erased, the AF1 functions are irretrievable.
NOTE: The AF1 is sensitive to ultraviolet light, therefor when exposed to uv
light, both the program and the auxiliary functions are erased. The AF1’s
transparent window is covered with the product label to avoid accidental
alternation of memory from uv light sources. Do not remove this label.
Series
Read Write Erase
AYesNo No
BYesYes No
User Program 2K Words
]
[1
11
Chapter 1
Introduction
Functions
The AF1 performs the following arithmetic functions:
6-digit add and subtract
6-digit multiply and divide
Square rote
Average
Standard deviation
BCD to binary conversion
Binary to BCD conversion
Applications
These arithmetic functions have applications in various industries such as food
processing, machine tool work and material handling. Applications in these
industries could be weighing, blending, batch processing, scaling, positioning,
test stands, and heat treating. The square root function is frequently used for
flow measurement and mining applications. The average function can be used
for averaging thermocouple inputs or other process variables. Standard
deviation and averaging have applications in trend analysis and report
generation.
Manual's Purpose
Audience
This manual shows you how to install and program the AF1 in your
Mini-PLC-2/15 controller.
We assume that you are familiar with programming and operation of the
Mini-PLC- 2/15 and the Industrial Terminal (cat. no. 1770-T3). If this is not the
case, refer to the appropriate publications or see our Publications Index
(publication SD499).
WARNING: Use only Allen-Bradley authorized programming
devices to program Allen-Bradley programmable controllers.
using unauthorized programming devices may result in unexpected operation, possibly causing equipment damage and/or
injury to personnel.
12
Installation
Chapter
2
General
Installation/Removal Handling
Precautions
During AF1 installation, take special care not to bend or contaminate the pins.
Bent or dirty pins can prevent proper AF1 programming and use. The AF1’s
transparent window is covered with the product label to avoid accidental
alteration of memory from uv light sources. Do not remove this label. Store the
AF1 in its shipping container when not installed in a Mini–PLC–2/15 processor.
The AF1 can be damaged during routine handling if proper precautions are not
taken to reduce static electricity discharges.
Recommended precautions include:
Handle the AF1 by the case without touching its pins.
Use a static free work station.
Wear a conductive wrist strap which has a minimum 200k ohms resistance
and is connected to earth ground.
Ground tools prior to contacting the AF1.
Connect static–free work station to ground through a minimum 200k ohm
resistance.
Control the relative humidity of the installation area–ideal conditions are
40% to 60% relative humidity.
The following is a list of things that should not be done:
Do not handle styrofoam, plastic, or cellophane–covered articles such as
combs, cigarette packages, and candy immediately prior to handling an AF1.
Do not hand the AF1 to someone who is not antistatic protected.
Do not install the AF1 in areas which might contaminate or foul the pins of
the AF1 device.
Do not handle the AF1 by its pins.
Do not slide the AF1 across any surface.
Do not place the AF1 in a non–conductive plastic bag.
When these precautions are followed, the potential difference between the AF1
pins is reduced thereby reducing the problems associated with static discharges.
21
Chapter 2
Installation
Installation
The AF1 fits into a 28–pin ZIF (zero insertion force) socket, which is located
under a hinged door at the lower side of the Mini–PLC–2/15 processor
(Figure 2.1).
Figure 2.1
PROM
Socket
10715I
On the underside of the PROM door is a label that illustrates PROM
installation. The notch on the AF1 PROM, when installed, must correspond to
the notch shown on the label. Figure 2.2 shows a properly installed AF1.
22
Figure 2.2
AF1
Installed
PROM
Notch
Lock
OFF
PROM Installation
1772AF1
DO NOT
UP
ERASE
ON
Release
11590
Chapter 2
Installation
To access the PROM socket, remove the Mini–PLC–2/15 processor module
from the I/O chassis. If you desire to maintain processor memory contents,
connect an external battery pack (Figure 2.3) to the processor with the
Mini–Processor Transport Cable (cat. no. 1772–CD) prior to removing the
module from the chassis.
Figure 2.3
External Battery Backup
Battery Pack
(Cat. No. 1771BB)
MiniPLC2/15 Processor
(Cat. No. 1772LV)
MiniProcessor
Transport Cable
(Cat. No. 1772CD)
11182
To install the AF1, perform the following steps (Figure 2.2)
1. Turn the mode select switch to PROG.
2. Remove AC power from the I/O chassis power supply.
3. Remove the processor module from the I/O chassis.
4. Check all AF1 pins to ensure they are not bent or dirty.
5. Loosen the screw and lift the PROM door.
6. Push the ON tab in to unlock the socket.
7. Position the AF1 as shown in Figure 2.2 Be sure the notch on your AF1
PROM faces the OFF tab.
8. Line up the AF1 as shown in Figure 2.2 and seat in the socket. Be sure the
pins are aligned as they bend easily.
9. Lock the AF1 in place by pushing the OFF tab in.
10.Close the PROM door and tighten the screw.
23
Chapter 2
Installation
Removal
To remove the AF1, perform the following steps:
1. Turn the mode select switch to PROG.
2. To maintain processor memory contents connect an external battery pack
to the processor with the mini–processor transport cable (Figure 2.3).
3. Remove AC power from the I/O chassis power supply.
4. Remove the processor module from the I/O chassis.
5. Loosen the screw, lift up the PROM door, and push the ON tab in to
unlock the socket (Figure 2.2).
6. Carefully remove the AF1 and store it in its shipping container.
24
Programming
Chapter
3
General
You access the AF1 by pressing [SHIFT][EAF] (execute auxiliary function) or
[SHIFT] [SCT] on the keyboard of your Industrial Terminal (cat. no. 1770-T3).
The instruction is an output instruction and may be preceded on a rung by input
instructions. Once you enter the function, the block diagram of Figure 3.1
appears on the CRT. To program a specific mathematics function, you would
enter the appropriate function number (Table 3.A). If you enter a non-existent
function number, the following occurs:
When the processor attempts to execute a function number which does not exist
on the AF1, the response of the processor depends upon whether the keyswitch
is in the RUN or RUN/PROGRAM position.
The response are:
In the RUN position, the processor stops running and the CRT displays
PROCESSOR FAULT and CHANGE PROCESSOR TO PROGRAM MODE.
The processor and memory LEDs illuminate. After you change processor
operation to program mode the LEDs turn off the CRT displays MODE
SELECTION menu and PLC-2 RUN TIME ERROR,PRESS 11 TO
CONTINUE. When you press 11 the CRT displays and intensifies the rung
containing the illegal opcode and states ILLEGAL OPCODE INTENSIFIED
INSTRUCTION LINKED WITH CAUSE OF ERROR.
In the RUN/PROGRAM position, the processor stops running and the CRT
displays MODE SELECTION menu and PLC-2 RUN TIME ERROR, PRESS
11 TO CONTINUE. When you press 11 the CRT displays and intensifies the
rung containing the illegal opcode and states ILLEGAL OPCODE
INTENSIFIED INSTRUCTION LINKED WITH CAUSE OF ERROR.
31
Chapter 3
Programming
Table 3.A
Function Numbers
AF1
AF1 Function Sequence
Function
Number
01 Add
02 Subtract
03 Multiply
04 Divide
05 Square root
06 Average
07 Standard deviation
13 BCD to binary conversion
14 Binary to BCD conversion
Mathematical Operation
You enter an existent function number and then enter data and result addresses
(we will explain this in detail later). The processor then places a number in the
data address.
When the Mini-PLC-2/15 controller encounters an AF2 function during
program execution and the rung is true, the processor performs the following
steps:
1. Saves its present position in the user program.
2. The interlock system (see Avoiding Excessive AF1 Execution Times)
grants access to the AF1 function.
3. Reads the operand’s data stored in the data address that you entered.
4. Reads the result address which you entered.
5. Obtains the location of the mathematical routine requested by the function
number.
6. Executes the routine in the AF1 area. (See section for excessive execution
time.)
7. Writes the results at the result address in the data table.
8. Returns program execution to the next instruction in the user’s program
after the AF1 function is completed. (See section for excessive execution
time.)
9. Readies itself for the next AF1 operation.
32
Chapter 3
Programming
AF1 Automatic Checks
To guard against improper program execution, automatic check routines are
incorporated in the AF1. The processor uses these routines to prevent the
following:
Executing AF1 functions having invalid function addresses
Spending so much time executing AF1 functions that the controller neglects
its main program and I/O scans
Invalid
Function Addresses
Valid AF1 function addresses include the I/O image table and the data table
(except word 027). Specifically, valid addresses are from 010 to 026, from 030
to 077, and from 110 to the end of the data table. Result addresses must not
reside in the input image table.
When a user programmed function has an invalid address, the response of the
processor depends upon whether the keyswitch is in the RUN or
RUN/PROGRAM position.
The responses are:
In the RUN position, the processor stops running and the CRT displays
PROCESSOR FAULT and CHANGE PROCESSOR TO PROGRAM MODE.
The processor and memory LEDs illuminate. After you change processor
operation to program mode the LEDs turn off and the CRT displays MODE
SELECTION menu and PLC-2 RUN TIME ERROR, PRESS 11 TO
CONTINUE. When you press 11 the CRT displays and intensifies the rung
containing the illegal address and states ILLEGAL ADDRESS INTENSIFIED
INSTRUCTION LINKED WITH CAUSE OF ERROR.
In the RUN/PROGRAM position, the processor stops running and the CRT
displays MODE SELECTION menu and PLC-2 RUN TIME ERROR, PRESS
11 TO CONTINUE. When you press 11 the CRT displays and intensifies the
rung containing the illegal address and states ILLEGAL ADDRESS
INTENSIFIED INSTRUCTION LINKED WITH CAUSE OF ERROR.
Avoiding
Table 3.B lists execution times for AF1 functions. To avoid excessive AF1
function execution times, an interlock system is designed into the AF1. This
system automatically checks and does the following:
Permits no AF1 function to run longer than 6ms without returning processor
During a program scan each true AF1 function rung which can be completed
Excessive AF1 Execution T
scan to the processor.
in a single scan will be completed as it is encountered. However, upon
encountering a true AF1 function rung which requires multiple program scan
imes
33
Chapter 3
Programming
to complete, all other true AF1 function rungs will be “locked out” until
sufficient program scans complete the active AF1 function rung.
Once started, it completes an AF1 function prior to starting the next AF1
function encountered in the user program which has a true rung condition.
Limits the number of enabled AF1 functions in a program to 50. You may
include more functions but you must ensure that no more than 50 are enabled
at one time. This requirement only applies where you have programmed a
function that requires more than one scan to complete.
Table 3.B
Execution
Function Avg. Time Worst Time Number or Scans
Addition 1.22ms 1.27ms 1
Subtraction 1.22ms 1.27ms 1
Multiplication 4.99ms 5.28ms 1
Division 16.17ms 21.76ms 4
Square Root 6.08ms 7.11ms 1
Average 12.33ms
Standard Deviation 94.16ms
BCD to Binary 0.89ms 1
Binary to BCD 0.84ms 1
[1]
These times are calculated for a single AF1 function. Overhead for AF1 lock maintenance and
multiple rungs through the ladder program to complete some function are included
]
[2
N=number of values whose average or standard deviation is sought.
[1]
T
ime
4 + N / 4
+0.29ms per value
22 + 5N / 4
+2.09ms per value
[2]
[2]
34
The time listed in Table 3.B includes:
Overhead for AF1 PROM interlock system
One run through the portion of the AF1 specified by the particular function
Chapter 3
Programming
To obtain the time required from activation of the input that makes the rung
containing the AF1 PROM function true until the correct answer for the
function is in the data table, you must add the following times to the values in
Table 3.B:
Input delay time (from specification for specific input)
One program scan time and one I/O scan time multiplied by the number of
scans specified in Table 3.B.
Methods for determining these times are presented in Mini-PLC-2/15, series B,
Programmable Controller Programming and Operations Manual (publication
1772-804).
Programming Specific
Mathematical Functions
In this section we explain the following for each of the AF1 functions:
What it is
How to enter it in your program
Its format in the data table
a.word arrangement
b.digit location
Sample entry and display rungs. Although there are several techniques to
enter this data, we use get instructions.
Error messages. If an AF1 function has special error message responses to
specific illegal programming procedures, we state these responses.
Status Bits
The most significant four bits of the most significant word of the result data
area are reserved for status bits. These bits have the following meanings:
Enable = bit 17
Sign = bit 16
Done = bit 15
Error bit = bit 14
The enable bit is set at the start of an AF1 function and reset upon completion.
The sign bit, if set, indicates a negative value.
35
Chapter 3
Programming
The done bit is rest at the start of an AF1 function and set upon completion.
The error bit is a general error flag that indicates overflow and invalid operand
or result errors. Individual functions determine the actual state of this bit.
Throughout this manual, unused status bits are shown blank for the following
reasons:
Whether the content of an unused status bit in an input word is 0 or 1 is
irrelevant as such bits are ignored in AF1 function execution.
The AF1 reset unused status bits in result words. For simplicity these bits are
left blank.
Accuracy
The accuracy of all function results on the Af1 is typically +
significant digit.
AF1 Addition Function
An AF1 addition function operates on two 6-digit BCD numbers and presents
the result in a third 6-digit BCD number
(+
XXX XXX.) + (+XXX XXX.) = +XXX XXX.
How to Enter an AF1 Addition Function
To program an AF1 addition function, perform the following steps:
1. Press [SHIFT][EAF] or [SHIFT][SCT] on the keyboard of your industrial
terminal. Figure 3.1 appears on the CRT.
Figure 3.1
Execute
Numbers shown are default values and must be replaced
by your values. The number of default address digits
originally displayed, 3 or 4, depends on the size of the
data table.
Auxiliary Function Format
Execute Aux
Function
Function Number:
Data Addr:
Result Addr:
1 in the least
01
010
010
36
Chapter 3
Programming
2. Enter 01, the function number for AF1 addition.
This entry identifies that the function entered is to perform an AF1 addition and
that the processor use the data table format shown in Figure 3.2 when executed.
Operands 1 and 2 represent the two 6-digit numbers you wish to add. The six
digits of operand 1 are represented in BCD by the groups of bits labeled digit 1
through 6. Digit 1 and digit 6 are the most significant and the least significant
digits respectively. This digit labeling system also applies to operand 2 and the
result.
Figure 3.2
General
AF1 Addition Function Word and Digit Format
Operand 1
Operand 2
Result
Bit No.
1716 1514 1312 1110 7 6 5 4 3 2 1 0
S
S
E
S
DER
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1 = Negative)
D = Done Bit ( 1= Function Complete)
ER = Error Bit (1 = Overflow)
MSD = Most Significant Digit
LSD = Least Significant Digit
Digit 1
(MSD)
Digit 4 Digit 5
Digit 1
(MSD)
Digit 4 Digit 5
Digit 1
(MSD)
Digit 4 Digit 5
Digit 2 Digit 3
Digit 2 Digit 3
Digit 2 Digit 3
Digit 6
(LSD)
Digit 6
(LSD)
Digit 6
(LSD)
Data Address
m
m + 1
m + 2
m + 3
Result Address
n
n + 1
11481
3. Enter a data address and a result address.
If we select a data address of 201 and a result address of 305, the AF1
establishes the data table format shown in Figure 3.3. Be careful not to select
data and result addresses so close together that the addresses of the operands
following the data address overlap your result address. The data address
eventually contains three digits of operand 1. The AF1 reserves the next three
higher addresses for digits 4 through 6 of operand 1 and digits 1 through 6 of
operand 2. The result address contains the most significant three digits of the
result and the next higher address contains the least significant three digits.
37
Chapter 3
Programming
Figure 3.3
Addition Function Format After Address Entry
AF1
Bit No.
Operand 1
Operand 2
Result
1716151413121110 7 6 5 4 3 2 1 0
S
S
DERE
S
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
ER = Error Bit (1 = Overflow)
MSD = Most Significant Digit
LSD = Least Significant Digit
Digit 1
(MSD)
Digit 4
Digit 1
(MSD)
Digit 4
Digit 1
(MSD)
Digit 4
Digit 2 Digit 3
Digit 5
Digit 2 Digit 3
Digit 5
Digit 2 Digit 3
Digit 5
Digit 6
(LSD)
Digit 6
(LSD)
Digit 6
(LSD)
Data Address
201
202
203
204
Result Address
305
306
11482
38
4. Enter values for operands 1 and 2.
You can enter these values from the keyboard of your industrial terminal or
through ladder diagram functions. Entry of operand 1 = 102746 and operand
2=256384 produces the result 359130 when the addition function executes.
Figure 3.4 shows how the result is stored.
Figure 3.4
Addition Function Format After Execution
AF1
Chapter 3
Programming
Bit No
Operand 1
Operand 2
Result
171615141312111076543210
S
(0)
S
(0)
DERE
S
(0) (0) (1) (0)
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
ER = Error Bit (1 = Overflow)
1
02
467
562
843
593
301
Data Address
Word 201
Word 202
Word 203
Word 204
Result Address
Word 305
Word 306
11483
Entry and Display of Input and Result Values
Figure 3.5 shows one method for inserting input values and displaying input
values and results of AF1 addition computations. Although there are several
techniques for accomplishing this, we chose get instructions. The first rung
requests an AF1 addition. The second rung shows the two operands in its top
branch and the resultant sum in its lower branch.
Figure 3.5
AF1
Addition Function Input and Result Display Rungs
Execute Aux
Function
201
102
305
359
Function Number:
Data Addr:
Result Addr:
202
G
G
G
746
306
G
130
203
G
256
204
G
384
01
201
305
Storage
Bit
39
Chapter 3
Programming
Error Message
If the resultant sum has more than six integers, the error bit (bit 14) is set
indicating overflow.
AF1 Subtraction Function
An AF1 subtraction function operates on two 6-digit BCD numbers and
presents the result in a third 6-digit BCD number.
(+
How to Enter an AF1 Subtraction Function
To program an AF1 subtraction function, perform the following steps:
1. Press [SHIFT] [EAF] or [SHIFT] [SCT] on the keyboard of your
industrial terminal. Figure 3.1 appears on the CRT.
2. Enter 02, the function number for AF1 subtraction.
This entry identifies that the function entered is to perform an AF1 subtraction
and that the processor use the data table format shown in Figure 3.6 when
executed. Operands 1 and 2 represent the two 6-digit numbers whose difference
you want to find. The six digits of operand 1 are represented in BCD by the
group of bits labeled digit 1 through 6. Digit 1 and digit 6 are respectively.
This digit labeling system also applies to operand 2 and the result.
XXX XXX.) - (+XXX XXX.) = +XXX XXX.
310
Chapter 3
Programming
Figure 3.6
General
Bit No.
Operand 1
Operand 2
Result
AF1 Subtraction Function Word and Digit Format
171615141312111076543210
S
S
S
DERE
Digit 1
(MSD)
Digit 4
Digit 1
(MSD)
Digit 4
Digit 1
(MSD)
Digit 4
Digit 2 Digit 3
Digit 5
Digit 2 Digit 3
Digit 5
Digit 2 Digit 3
Digit 5
Digit 6
(LSD)
Digit 6
(LSD)
Digit 6
(LSD)
Data Address
m
m + 1
m + 2
m + 3
Result Address
n
n + 1
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
ER = Error Bit (1 = Overflow)
MSD = Most Significant Digit
LSD = Least Significant Digit
11484
311
Chapter 3
Programming
3. Enter a data address and result address.
If we select a data address of 201 and a result address of 305, the AF1
establishes the data table format shown in Figure 3.7. The data address
eventually contains three digits of operand 1. The AF1 reserves the next three
higher addresses for digits 4 through 6 of operand 1, and digits 1 through 6 of
operand 2. The result address contains the most significant three digits of the
result and the next higher address contains the least significant three digits.
Figure 3.7
AF1
Subtraction Function Format After Address Entry
Bit No.
Operand 1
Operand 2
Result
17 16 15 14 13 12 11 10 7 6 5 4 3 2 1 0
S
S
DERE
S
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
ER = Error Bit (1 = Overflow)
MSD = Most Significant Digit
LSD = Least Significant Digit
Digit 1
(MSD)
Digit 4
Digit 1
(MSD)
Digit 4
Digit 1
(MSD)
Digit 4
Digit 2 Digit 3
Digit 5
Digit 2 Digit 3
Digit 5
Digit 2 Digit 3
Digit 5
Digit 6
(LSD)
Digit 6
(LSD)
Digit 6
(LSD)
Data Address
201
202
203
204
Result Address
305
306
11485
312
Chapter 3
Programming
4. Enter values for operands 1 and 2.
You can enter these values from the keyboard of your industrial terminal or
through ladder diagram functions. Entry of operand 1 = 102746 and operand 2
- 256384 produces the result -153638 when the subtraction function executes.
Figure 3.8 shows how the result is stored.
Figure 3.8
Subtraction Function Format After Execution
AF1
Bit No
Operand 1
Operand 2
Result
171615141312111076543210
S
(0)
S
(0)
DERE
S
(0) (1) (1) (0)
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
ER = Error Bit (1 = Overflow)
1
02
467
562
843
531
386
Data Address
201
202
203
204
Result Address
305
306
11486
Entry and Display of Input and Result Values
Figure 3.9 shows one method for inserting input values and displaying input
values and results of AF1 subtraction computations. Although there are several
techniques for accomplishing this, we chose get instructions. The first rung
requests an AF1 subtraction. The second rung shows the two operands in its top
branch and the resultant difference in its lower branch.
313
Chapter 3
Programming
Figure 3.9
Subtraction Function Input and Result Display Rungs
AF1
Execute Aux
Function
Function Number:
Data Addr:
Result Addr:
01
201
305
201
102
305
153
202
G
G
G
746
306
G
638
203
G
256
204
G
384
Error Message
If the result has more than six integers, the error bit (bit 14) is set indicating
overflow.
AF1 Multiplication Function
An AF1 multiplication function operates on two 6-digit BCD numbers and
presents the results in a 12-digit BCD number.
(+
XXX XXX.) X (+ XXX XXX.) = +XXX XXX XXX XXX.
How to Enter an AF1 Multiplication Function
Storage
Bit
314
To program an AF1 multiplication function, perform the following steps:
1. Press [SHIFT][EAF] or [SHIFT][SCT] on the keyboard of your industrial
terminal. Figure 3.1 appears on the CRT.
2. Enter 03, the function number for AF1 multiplication.
This entry identifies that the function entered is to perform an AF1
multiplication and that the processor use the data table format shown in
Figure 3.10 when executed. Operands 1 and 2 represent two 6-digit numbers
whose product you want to find. The six digits of operand 1 are represented in
BCD by groups of bits labeled digit 1 through 6. Digit 1 and 6 are most
significant and least significant digits respectively. Operand 2 and the 12 digits
of the result are labeled similarly.
Chapter 3
Programming
Figure 3.10
General
Bit No.
Operand 1
Operand 2
Result
AF1 Multiplication Function Word and Digit Format
171615141312111076543210
S
S
S
DE
Digit 1
(MSD)
Digit 4
Digit 1
(MSD)
Digit 4
Digit 1
(MSD)
Digit 7
Digit 2 Digit 3
Digit 5
Digit 2 Digit 3
Digit 5
Digit 2 Digit 3
Digit 5Digit 4
Digit 8 Digit 9
Digit 6
(LSD)
Digit 6
(LSD)
Digit 6
Data Address
m
m + 1
m + 2
m + 3
Result Address
n
n + 1
n + 2
Digit 10
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
MSD = Most Significant Digit
LSD = Least Significant Digit
Digit 11
Digit 12
(LSD)
n + 3
11487
315
Chapter 3
Programming
Figure 3.11
AF1 Multiplication Function Format After Address Entry
Bit No.
Operand 1
Operand 2
Result
171615141312111076543210
S
S
S
DE
Digit 1
(MSD)
Digit 4
Digit 1
(MSD)
Digit 4
Digit 1
(MSD)
Digit 7
Digit 2 Digit 3
Digit 5
Digit 2 Digit 3
Digit 5
Digit 2 Digit 3
Digit 5Digit 4
Digit 8 Digit 9
Digit 6
(LSD)
Digit 6
(LSD)
Digit 6
Data Address
201
202
203
204
Result Address
305
306
307
Digit 10
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
MSD = Most Significant Digit
LSD = Least Significant Digit
Digit 11
Digit 12
(LSD)
310
11488
3. Enter a data address and a result address.
If we enter a data address of 201 and a result address of 305, the AF1
establishes the data table format shown in Figure 3.11. The data address
eventually contains the most significant three digits of operand 1. The AF1
reserves the next three higher addresses for the least significant three digits of
operand 1 and the six digits of operand 2. The result address contains the most
significant three digits of the result. The AF1 reserves the next three higher
addresses for the remaining nine digits of the result.
316
Chapter 3
Programming
4. Enter values for operands 1 and 2.
You can enter these values from the keyboard of your industrial terminal or
through ladder diagram functions. Entry of operand 1 = 000400 and operand 2
= 000200 produces the result 000000080000 (Figure 3.12).
Figure 3.12
AF1
Multiplication Function Format After Execution
Bit No.
Operand 1
Operand 2
Result
171615141312111076543210
S
(0)
S
(0)
S
(0)(0)(1)
0
DE
00
004
000
002
000
000
800
Data Address
201
202
203
204
Result Address
305
306
307
000
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
310
11489
Entry and Display of Input and Result Values
Figure 3.13 shows one method you can use to enter values for operands 1 and 2
and for displaying the results of an AF1 multiplication. Although there are
several techniques for accomplishing this, we chose get instructions. The first
rung requests an AF1 multiplication. The top branch of the second rung shows
the two 6-digit operands while the lower branch shows the 12 digit product.
317
Chapter 3
Programming
Figure 3.13
Multiplication Function Input and Result Display Rungs
AF2
Execute Aux
Function
Function Number:
Data Addr:
Result Addr:
03
201
305
201
000
305
000
202
G
G
G
400
306
G
000
203
G
000
307
G
080
204
G
200
307
G
000
AF1 Division Function
An AF1 division function operates on two 6-digit BCD numbers and presents
the results in a 12-digit BCD number.
(+
XXX XXX.) : (+XXX XXX.) = +XXX XXX.XXX XXX
How to Enter an AF1 Division Function
To program an AF1 division function, perform the following steps:
1. Press [SHIFT] [EAF] or [SHIFT] [SCT] on the keyboard of your
industrial terminal. Figure 3.1 appears on the CRT.
Storage
Bit
318
2. Enter 04, the function number for AF1 division.
This entry identifies that the function entered is to perform an AF division and
that the processor use the data table format shown in Figure 3.14 when
executed. Operands 1 and 2 represent two 6-digit numbers whose quotient you
wish to find. The six digits of operand 1 are represented in BCD by groups of
bits labeled digit 1 through 6. Digit 1 and 6 are the most significant and least
significant digits respectively. Operand 2 and the 12 digits of the result are
labeled similarly.
Figure 3.14
General
AF1 Division Function W
Chapter 3
Programming
ord and Digit Format
Bit No.
Operand 1
Operand 2
Result
17 16 15 14 13 12 11 10 7 6 5 4 3 2 1 0
ER
Digit 1
(MSD)
Digit 4
Digit 1
(MSD)
Digit 4
Digit 1
(MSD)
Digit 7
Digit 2 Digit 3
Digit 5
Digit 2 Digit 3
Digit 5
Digit 2 Digit 3
Digit 5Digit 4
Digit 8 Digit 9
Digit 6
(LSD)
Digit 6
(LSD)
Digit 6
S
S
DE
S
Data Address
m
m + 1
m + 2
m + 3
Result Address
n
n + 1
n + 2
Digit 10
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
ER = Illegal Operand (Divide by Zero)
MSD = Most Significant Digit
LSD = Least Significant Digit
Digit 11
Digit 12
(LSD)
n + 3
11490
319
Chapter 3
Programming
Figure 3.15
AF1 Division Function Format After Address Entry
Bit No.
Operand 1
Operand 2
Result
171615141312111076543210
ER
Digit 1
(MSD)
Digit 4
Digit 1
(MSD)
Digit 4
Digit 1
(MSD)
Digit 7
Digit 2 Digit 3
Digit 5
Digit 2 Digit 3
Digit 5
Digit 2 Digit 3
Digit 5Digit 4
Digit 8 Digit 9
Digit 6
(LSD)
Digit 6
(LSD)
Digit 6
S
S
S
DE
Data Address
201
202
203
204
Result Address
305
306
307
Digit 10
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
ER = Illegal Operand (Divide by Zero)
MSD = Most Significant Digit
LSD = Least Significant Digit
Digit 11
Digit 12
(LSD)
310
11491
3. Enter a data address and a result address.
If we enter a data address of 201 and a result address of 305, the AF1
establishes the data table format shown in Figure 3.15. The data address
eventually contains the most significant three digits of operand 1. The AF1
reserves the next three higher addresses for the least significant three digits of
operand 1 and the six digits of operand 2. The result address contains the most
significant three digits of the result. The AF1 reserves the next three higher
addresses for the remaining nine digits of the result.
320
Chapter 3
Programming
4. Enter values for operands 1 and 2.
You can enter these numbers from the keyboard of your industrial terminal or
through ladder diagram functions. Entry of operand 1 = 000400 and operand 2
= 000200 produces the result 000002.000000 (Figure 3.16).
Figure 3.16
AF1
Division Function Format After Execution
Bit No.
Operand 1
Operand 2
Result
171615141312111076543210
S
(0)
S
(0)
S
(0)(0)(1)ER(0)
DE
0
00
004
000
002
000
020
000
Data Address
201
202
203
204
Result Address
305
306
307
000
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
ER = Illegal Operand (Divide by Zero)
310
11492
Entry and Display of Input and Result Values
Figure 3.17 shows one method you can use to enter values for operands 1 and 2
and for displaying the results of an AF1 division. Although there are several
techniques for accomplishing this, we chose get instructions. The first rung
requests an AF1 division function. The top branch of the second rung shows
the two 6-digit operands while the lower branch shows the 12 digit quotient.
321
Chapter 3
Programming
Figure 3.17
Division Function Input and Result Display Rungs
AF1
Execute Aux
Function
Function Number:
Data Addr:
Result Addr:
04
201
305
201
000
305
000
202
G
G
G
400
306
G
002
203
G
000
307
G
080
204
G
200
310
G
000
Storage
Error Message
If you divide by zero, the error bit (bit 14) is set and the result reads zero.
AF1 Square Root Function
The AF1 square root function operates on a 3-digit BCD integer and presents
the result in a 6-digit BCD number composed of three integer digits and 3
decimal digits. The first integer digit and the last decimal digit (digit 1 and digit
6) are always zero.
(+
XXX.)
1/2
= +XXX.XXX
A decimal point is implied between digits 3 and 4. the function calculates the
square root of the absolute input value and sets the sign bit in the output to the
sign of the input. The result is accurate to +
.01.
Bit
322
How to Enter an AF1 Square Root Function
To program an AF1 square root function, perform the following steps:
1. Press [SHIFT] [EAF] or [SHIFT][SCT] on the keyboard of your industrial
terminal. Figure 3.1 appears on the CRT.
2. Enter 05, the function number for AF1 square root.
This entry identifies that the function entered is to perform an AF1 square root
and that the processor use the data table format shown in Figure 3.18 when
executed. The three digits of the operand (the number whose square root you
desire) are represented in BCD by the groups of bits labeled digit 1 through 3.
The six digits of the result are labeled digit 1 through 6. Digit 1 and digit 6 in
the result are always zero.
Chapter 3
Programming
Figure 3.18
General
Bit No.
Operand
Result
AF1 Square Root Function Word and Digit Format
17 16 15 14 13 12 11 10 7 6 5 4 3 2 1 0
S
DE
S
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
MSD = Most Significant Digit
LSD = Least Significant Digit
Digit 1
(MSD)
Digit 1 (MSD)
(Always = 0)
Digit 2
Digit 2 Digit 3
Digit 5Digit 4
Digit 3
(LSD)
(LSD)
Digit 6
(Always = 0)
Data Address
m
Result Address
n
n + 1
3. Enter a data address and a result address.
If we enter a data address of 200 and a result address of 305, the AF1
establishes the data table format shown in Figure 3.19. The data address
eventually contains the three digits of the number whose square root is sought.
The result address (word 305) contains the first three digits (integer part) of the
result. The three decimal digits of the result are stored in the next higher
address, word 306. The implied decimal point is between digits 3 and 4.
11582
Bit No.
Operand
Result
Figure 3.19
AF1
Square Root Function Format After Address Entry
171615141312111076543210
S
DE
S
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
MSD = Most Significant Digit
LSD = Least Significant Digit
Digit 1
(MSD)
Digit 1
(Always = 0)
Digit 2
Digit 2
(MSD)
Digit 5Digit 4
Digit 3
(LSD)
Digit 3
Digit 6
(Always = 0)
(LSD)
Data Address
200
Result Address
305
306
11583
323
Chapter 3
Programming
4. Enter the value for the operand.
You can enter the value from the keyboard of your industrial terminal or
through ladder diagram functions. Entry of operand = 144 produces the result
12 when the square root function executes. Figure 3.20 shows how the result is
stored. The result is accurate to +
Figure 3.20
AF1
Square Root Function Format After Execution
0.01.
Bit No.
Operand
Result
171615141312111076543210
S
(0)
S
(0) (0) (1)
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
DE
1
44
120
000
Data Address
200
Result Address
305
306
Entry and Display of Input and Result Values
Figure 3.21 shows one method for inserting the input value and displaying the
input value and result of an AF1 square root. Although there are several
techniques for accomplishing this, we chose get instructions. The first rung
requests an AF1 square root function. The second rung shows the operand 144
in word 200 and the resultant square root 012.000 in words 305 and 306.
Figure 3.21
AF1
Square Root Function Input and Result Display Rungs
11584
324
200
144
305
012
Execute Aux
Function
Function Number:
Data Addr:
Result Addr:
G
306
G
G
000
05
201
305
Storage
Bit
Chapter 3
Programming
AF1 A
verage Function
The AF1 average function determines the average of a group of N three digit
integers. The numbers are in BCD format.
x1x1x1.)x2x2x2x2.)x3x2x2.)AAAxNxNxNxN.
N
+xxx.xxx
The result is a 6 digit number composed of a 3-digit integer and a 3-digit
decimal fraction. The maximum number of values you can average is 999 or is
limited by the data table area available.
How to Enter an AF1 Average Function
To program an AF1 average function, perform the following steps:
1. Press [SHIFT] [EAF] or [SHIFT] [SCT] on the keyboard of your
industrial terminal. Figure 3.1 appears on the CRT.
2. Enter 06, the function number for the AF1 average function.
This entry identifies that the function entered is to perform an AF1 average and
that the processor use the data table format shown in Figure 3.22 when
executed. The three digits showing the number of inputs and the three digits of
each input value are represented in BCD by groups of bits labeled digit 1
through 3. The 6-digits of the results are labeled digit 1 through 6.
325
Chapter 3
Programming
Bit No.
Number of Inputs
Input 1
Input 2
Input 3
Input N
Result
Figure 3.22
AF1 A
General
171615141312111076543210
verage Function W
S
S
S
S
S
DE
ER
Digit 1
(MSD)
Digit 1
(MSD)
Digit 1
Digit 1
(MSD)
Digit 1
(MSD)
ord and Digit Format
Digit 2
Digit 2
Digit 2 Digit 3
Digit 2 Digit 3Digit 1
Digit 2
Digit 2 Digit 3
Digit 5Digit 4
Digit 3
(LSD)
Digit 3
(LSD)
Digit 3
(LSD)
Digit 6
(LSD)
Data Address
m
m + 1
m + 2
m + 3
m + N
Result Address
n
n + 1
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
ER = Error Bit (Set if number of readings = 0)
MSD = Most Significant Digit
LSD = Least Significant Digit
N = Number of Readings Being Averaged
11585
3. Enter a data address and store in that address the number of values to
average. Then enter an address for the result.
Let’s choose a data address of 200 and the number of values to average of 003.
Also, let’s choose 305 as the address for the result. Entering these values results
in the data table format shown in Figure 3.23. Once you enter the data address,
the addresses of the remaining input words are selected automatically by the
AF1.
326
Figure 3.23
A
verage Function Format After Address Entry
AF1
Chapter 3
Programming
Bit No.
Number of Inputs
Input 1
Input 2
Input 3
Result
171615141312111076543210
003200
ER
Digit 1
(MSD)
Digit 1
Digit 1
(MSD)
Digit 2
Digit 2 Digit 3
Digit 2 Digit 3Digit 1
Digit 2 Digit 3
Digit 5Digit 4
S
S
S
S
DE
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1 = Negative)
D = Done Bit (1 = Function Complete)
ER = Error Bit (Set if number of readings = 0)
MSD = Most Significant Digit
LSD = Least Significant Digit
Digit 3
(LSD)
Digit 6
(LSD)
Data Address
201
202
203
Result Address
305
306
11586
4. Enter the values of the numbers you wish to average in the input word
addresses. You can enter these numbers from the keyboard of your
industrial terminal or through ladder diagram functions. if we choose to
enter values of +413, +235, and +121 into input word addresses 201, 202,
and 203 respectively, we obtain the result shown in Figure 3.24 when the
average function executes. The result appears in result words 305 and 306
as 256.333.
327
Chapter 3
Programming
Figure 3.24
AF1 Average Function Format After Execution
Bit No.
Number of Inputs
Input 1
Input 2
Input 3
Result
171615141312111076543210
0 0 3 200
S
(0)
S
(0)
S
(0)
DE
S
(0) (0) (1) (0)
ER
413
235
121
256
333
Word
Data
Address
201
202
203
Result Address
305
306
11587
Entry and Display of Input and Result Values
Figure 3.25 shows one method you can use to enter values and display results of
an AF1 average function. although there are several techniques for
accomplishing this, we chose get instructions. The first rung requests an AF1
average function. The top branch of the second rung shows the number of
values to be averaged, 003, in word 200. It also shows the numbers to be
averaged in words 201, 202, and 203. The lower branch of the second rung
shows the resultant average as 256.333 in words 305 and 306.
328
200
G
003
305
G
256
Figure 3.25
AF1
A
verage Function Input and Result Display Rungs
201
G
413
306
G
333
202
G
235
203
G
121
Execute Aux
Function
Function Number:
Data Addr:
Result Addr:
06
201
305
Storage
Bit
Chapter 3
Programming
Error Message
If you insert a zero for the number of values to be averaged, the error bit (bit 14)
is set and the result reads zero.
AF1
Standard Deviation Function
The AF1 standard deviation function determines the standard deviation of 3digit BCD numbers giving a 6-digit result with an implied decimal point after
the third digit. The maximum number of values you can handle is 999 or is
limited by the data table area available.
Standard deviation function uses the formula:
1/2
2
)
avg
Nj
n
= xxx.xxx
NJ
ȍ
(xi*x
Where:
X
= one of a group of N numbers whose standard deviation is being calculated
i
X
= the arithmetic average of N numbers
avg
How to Enter an AF1 Standard Deviation Function
To program an AF1 standard deviation function, perform the following steps:
1. Press [SHIFT] [EAF] or [SHIFT] [SCT] on the keyboard of your
industrial terminal. Figure 3.1 appears on the CRT.
2. Enter 07, the function number for AF1 standard deviation.
This entry identifies that the function entered is to perform an AF1 standard
deviation and that the processor use the data table format shown in Figure 3.26
when executed. The three digits showing the number of inputs and the three
digits of each input value are represented in BCD by groups of bits labeled digit
1 through 3. The six digits of the result are labeled digit 1 through 6.
329
Chapter 3
Programming
Bit No.
Number of Inputs
Input 1
Input 2
Input 3
Input N
Result
Figure 3.26
General
AF1 Standard Deviation Function Word and Digit Format
171615141312111076543210
S
S
S
S
S
Digit 1
(MSD)
Digit 1 Digit 3
Digit 1
ER
Digit 1
(MSD)
DE
Digit 2
Digit 2
Digit 2 Digit 3
Digit 2 Digit 3Digit 1
Digit 2 Digit 3Digit 1
Digit 2 Digit 3
Digit 5Digit 4
Digit 3
(LSD)
Digit 6
(LSD)
Data Address
m
m + 1
m + 2
m + 3
m + N
Result Address
n
n + 1
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
ER = Error Bit (Set if number of readings = 0)
MSD = Most Significant Digit
LSD = Least Significant Digit
N = Number of Readings Whose Standard Deviation is Sought
11588
3. Enter a data address and store in that address the number of values whose
standard deviation you wish to determine.
Let’s choose a data address of 200 and the number of values whose standard
deviation we want of 003. Also, let’s choose 305 as our result address.
Entering these values results in the data table format shown in Figure 3.27.
once you enter the data address, the addresses of the remaining input words are
selected automatically by the AF1.
330
Chapter 3
Programming
Figure 3.27
General AF1 Deviation Function Format After Address Entry
Bit No.
Number of Inputs
Input 1
Input 2
Input 3
Result
171615141312111076543210
003200
ER
Digit 1
(MSD)
Digit 1
Digit 1
(MSD)
S
S
S
DE
S
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1 = Negative)
D = Done Bit (1 = Function Complete)
ER = Error Bit (Set if number of readings = 0)
MSD = Most Significant Digit
LSD = Least Significant Digit
Digit 2
Digit 2 Digit 3
Digit 2 Digit 3Digit 1
Digit 2 Digit 3
Digit 5Digit 4
Digit 3
(LSD)
Digit 6
(LSD)
Data Address
201
202
203
Result Address
305
306
11586
4. Enter the values of the numbers whose standard deviation is desired in the
input word addresses.
You can enter these numbers from the keyboard of your industrial terminal or
through ladder diagram functions. If we choose to enter values of 200, 201, and
202 into input word addresses 201, 202, and 203 respectively, we obtain the
result shown in Figure 3.28 when the standard deviation function executes. The
result appears in words 305 and 306 as 000.816. The result is truncated but is
accurate to +
0.001.
331
Chapter 3
Programming
Figure 3.28
Standard Deviation Function Format After Execution
AF1
Number of Inputs
Input 1
Input 2
Input 3
Result
171615141312111076543210Bit No.
0 0 3 200
200
201
202
DE
S
(0)(0)(1)(0)
ER
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1 = Negative)
D = Done Bit (1 = Function Complete)
ER = Error Bit (Set if number of inputs = 0)
000
816
Word
Data
Address
201
202
203
Result Address
305
306
11589
332
Entry
and Display of Input and Result V
alues
Figure 3.29 shows one method you can use to enter values and display results of
an AF1 standard deviation function. Although there are several techniques for
accomplishing this, we chose the instructions. The first rung requests an AF1
standard deviation function. The top branch of the second rung shows the
number of values whose standard deviation is sought, 003, in word 200. it also
shows the three numbers involved in words 201, 202, and 203. The lower
branch of the second rung shows the resulting standard deviation as 000.816 in
words 305 and 306.
Error Message
If you insert a zero for the number of values whose standard deviation is sought,
the error bit (bit 14) is set and the result reads zero.
Chapter 3
Programming
Figure 3.29
Standard Deviation Function Input and Result Display Rungs
AF1
Function Number:
Data Addr:
Result Addr:
Execute Aux
Function
07
201
305
200
003
305
000
201
G
G
G
200
306
G
816
202
G
201
203
G
202
Storage
Bit
AF1 BCD to Binary Conversion Function
The AF1 BCD (binary coded decimal) to binary conversion function converts a
BCD number (from 0 to 4095) into a 12-bit binary number.
How to Enter an AF1 BCD to Binary Conversion Function
To program an AF1 BCD to binary conversion function, perform the following
steps:
1. Press [SHIFT] [EAF] or [SHIFT] [SCT] on the keyboard of your
industrial terminal. Figure 3.1 appears on the CRT.
2. Enter 13, the function number for AF1 BCD to binary conversion.
This entry identifies that the function entered is to perform an AF1 BCD to
binary conversion and that the processor use the data table format shown in
Figure 3.30 when executed.
333
Chapter 3
Programming
Bit No.
Operand
Result
Figure 3.30
General
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
ER = Error Bit (1 = BCD Number > 4095 Entered)
MSD = Most Significant Digit
LSD = Least Significant Digit
AF1 BCD to Binary Conversion Function Word and Digit Format
171615141312111076543210
S
S
Digit 1 (MSD)
(Always = 0)
Digit 4
ER
DE
Digit 2
(Always = 0)
Digit 5
Digit 3
(Must be 3 4)
Digit 6
(LSD)
Data Address
m
m + 1
Result Address
n
11493
3. Enter a data address.
If we choose a data address of 200 and a result address of 300, the data table
format is as shown in Figure 3.31. The most significant three digits of the
operand (the BCD number we want to convert to binary) reside in the data
address word 200 and the least significant three digits reside in the next higher
address, 201. The first two digits are always zero and the third digit must not
exceed four. The number, converted to binary format, is stored in bits 0 through
13 in the result address, word 300.
334
Bit No.
Operand
Result
Figure 3.31
BCD to Binary Conversion Function Format After Address Entry
AF1
171615141312111076543210
DE
Digit 1 (MSD)
(Always = 0)
Digit 4
ER
S
S
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
ER = Error Bit (1 = BCD Number > 4095 Entered)
MSD = Most Significant Digit
LSD = Least Significant Digit
Digit 2
(Always = 0)
Digit 5
Digit 3
(Must be
Digit 6
(LSD)
3 4)
Data Address
200
201
Result Address
300
11494
Chapter 3
Programming
4. Enter the operand.
You can enter the operand from the keyboard of your industrial terminal or
through ladder diagram functions. If we choose to enter 4095, the largest BCD
number that we can convert to a 12 bit binary number, we obtain the data tale
configuration shown in Figure 3.32.
Figure 3.32
AF1
BCD to Binary Conversion Function Format After Execution
Bit No.
Operand
Result
171615141312111076543210
S
(0)
S
ER
(0) (0) (1) (0)
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
ER = Error Bit (1 = BCD Number > 4095 Entered)
DE
004
095
111111111111
Data Address
200
201
Result Address
300
11495
Entry and Display of Input and Result Values
Figure 3.33 shows one method for inserting input values and displaying inputs
and results of an AF1 BCD to binary conversion function. Although there are
other methods for accomplishing this, we chose get instructions. The first rung
requests an AF1 BCD to binary conversion. The top branch of the second rung
shows the BCD number that is to be converted (004095) in words 200 and 201.
The bottom branch shows in the hexadecimal notation FFF (bits 0 through 13 in
word 300 are set as shown in Figure 3.32).
200
004
305
FFF
G
G
Figure 3.33
AF1
BCD to Binary Conversion Function Input and Display Rungs
Execute Aux
Function Number:
Data Addr:
Result Addr:
201
G
095
Function
13
200
300
Storage
Bit
335
Chapter 3
Programming
Error Message
If you enter a BCD number larger than 4095, the error bit (bit 14) is set and the
result reads zero.
AF1 Binary to BCD Conversion Function
The AF1 binary to BCD conversion function converts a 12-bit binary number to
a BCD number (from 0 to 4095).
How to Enter an AF1 Binary to BCD Conversion Function
To program an AF1 binary to BCD conversion function, perform the following
steps:
1. Press [SHIFT] [EAF] or [SHIFT] [SCT] on the keyboard of your
industrial terminal. Figure 3.1 appears on the CRT.
2. Enter 14, the function number for the AF1 binary to BCD conversion
function.
This entry identifies that the function entered is to perform an AF1 binary to
BCD conversion and that the processor use the data table format shown in
Figure 3.34 when executed.
Figure 3.34
General
Bit No.
Operand
AF1 Binary to BCD Conversion Function Word and Digit Format
171615141312111076543210
S
DE
Digit 1 (MSD)
(Always = 0)
Digit 4
S
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
MSD = Most Significant Digit
LSD = Least Significant Digit
12 Bit Binary Number
Digit 2
(Always = 0)
Digit 5
Digit 3
Digit 6
(LSD)
Data Address
Result AddressResult
m
n
n + 1
11496
336
Chapter 3
Programming
3. Enter a data address and a result address.
If we choose a data address of 200 and a result address of 300, the data table
format is as shown in Figure 3.35. Bits 0 through 13 of word 200 are reserved
for the operand (the 12-bit binary number we want to convert to BCD). The
result address, 300, contains the most significant three digits of the resulting
BCD number. The least significant three digits reside in the next higher
address, 301. The first two digits of the BCD number are always zero and the
third digit can not exceed four.
Figure 3.35
AF1
Binary to BCD Conversion Function Format After Address Entry
Bit No.
Operand
17 16 15 14 13 12 11 10 7 6 5 4 3 2 1 0
S
Digit 1 (MSD)
DE
S
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
MSD = Most Significant Digit
LSD = Least Significant Digit
(Always = 0)
12 Bit Binary Number
Digit 4
Digit 2
(Always = 0)
Digit 5
Digit 3
Digit 6
(LSD)
Data Address
200
Result AddressResult
300
301
11497
4. Enter the operand.
You can enter the operand from the keyboard of your industrial terminal or
through ladder diagram functions. If we choose to set bits 0 through 13 in word
200, that is, insert the largest possible binary number in 12 bits, we obtain 4095
for the corresponding BCD number (Figure 3.36). The ones in bits 0 through
13 or word 200 indicate that each bit is set.
Figure 3.36
AF1
Binary to BCD Conversion Function Format After Execution
Bit No.
Operand
Result
17 16 15 14 13 12 11 10 7 6 5 4 3 2 1 0
S
S
(0) (0) (1)
E = Enable Bit (1 = Function in Progress)
S = Sign Bit (1= Negative)
D = Done Bit (1 = Function Complete)
11 11 11 11 11 11
DE
004
095
Data Address
200
Result Address
300
301
11498
337
Chapter 3
Programming
Entry and Display of Input and Result Values
Figure 3.37 shows one method for inserting input values and displaying inputs
and results of an AF1 binary to BCD conversion function. Although there are
other methods for accomplishing this, we chose get instructions. The first rung
requests an AF1 binary to BCD conversion function. The top branch of the
second rung shows the binary number (in the hexadecimal notation FFF) that
we want converted to BCD. In this example, the binary number is the largest
possible, with bits 0 through 13 or word 200 set as shown in figure 3.36. The
lower branch shows the resulting BCD number, 004095, in words 300 and 301.
Figure 3.37
AF1
Binary to BCD Conversion Function Input and Result Display Rungs
Execute Aux
Function
Function Number:
Data Addr:
Result Addr:
14
200
300
200
FFF
300
004
Storage
G
301
G
G
095
Sign Bits
If you encounter any binary data where the sign bit is not in bit 16, you must
move the sign bit into bit 16 of an auxiliary data table word prior to doing a
binary to BCD conversion. If, for example, the sign bit of your module is bit 15
in word 200, the rungs in Figure 3.38 permit you to make a binary to BCD
conversion. The first rung puts word 200 data into word 201. Rung two sets bit
16 in word 201 if bit 15 in word 200 is set. The AF1 binary to BCD conversion
function in rung three then uses word 201 as its data address.
Bit
338
Chapter 3
Programming
200
G
200
15
Figure 3.38
Transfer
of Sign Bit
Execute Aux
Function
Function Number:
Data Addr:
Result Addr:
201
PUT
201
16
14
201
339
Index
Symbols
**Empty**, 325
A
Accuracy, 36
Addition, 36
Address
Data, 32, 37
Invalid, 33
Result, 32, 37
Valid, 33
AF1 (PROM), 11
Applications, 12
Automatic checks, 33
Average function, 325
B
BCD to binary, 333
Binary to BCD, 336
Bits, 35
Done, 35
Enable, 35
Error, 35
Unused, 36
bits, Sign, 35
E
Enable Bit, 35
Error bit, 36
Error messages, 35
Execution time, 33
F
Function numbers, 31, 32
Function sequence, 32
Functions, 12
H
Handling Precautions, 21
Humidity, 21
I
Illegal address, 33
Illegal opcode, 31
Installation, 21
Interlock system, 33
Invallid address, 33
M
C
Checks, 33
Result addresses, 33
Scan Time, 35
Contamination, 21
D
Data Address, 37
Data table (valid areas), 33
Data table format, 35, 37
Digit location, 35
Division, 318
Done bit, 36, 37
Memory backup, 23
Multiplication, 314
P
Programming, 31
PROM, 11
R
Result, 32
Result address, 334
I–2
Index
S
Sign bit, 35, 338
Square root, 322
Standard deviation function, 329
Static electricity, 21
T
Time-execution, 33
U
Ultraviolet LIght, 11
Unuse bits, 36
W
Word arrangement, 35
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Publication
17726.5.1 - March 1984
Copyright
1984 AllenBradley Company
P/N 955094-44
, Inc. Printed in USA
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