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Appendix
B
B1
Number Systems
There are four numbering systems used with programmable controllers.
They are:
Decimal
Octal
Binary
Hexadecimal
These numbering systems differ by their number sets and place values.
The decimal numbering system uses a number set made up of ten digits:
the numbers 0 through 9. All decimal numbers are composed of these
digits. The value of a decimal number depends on the digits used and the
place value of each digit.
Each place value in a decimal number represents a power of ten
(Figure B.1), starting with 100. The value of a decimal number is
determined by multiplying each digit by its corresponding place value and
adding these numbers together.
Figure B.1
Decimal
Numbering System
239
2 x 10
1
=
200
10
3 x 10
1
= 30
10
9 x 10
0
= 9
10
200
30
9
239
10
10
B.0
General
B.1
Decimal Numbering System
- Important User Information 2
- Table of Contents 3
- to Programming 4
- Table of Contents iii 5
- Table of Contentsiv 6
- 111. . . . . . . 7
- Table of Contentsvi 8
- Table of Contents vii 9
- Table of Contentsviii 10
- Introduction 11
- Chapter 1 12
- Capabilities 13
- Additional Publications 15
- Terms Used in This Manual 16
- Hardware Considerations 17
- Diagnostic 18
- Indicators 18
- Select Switch 18
- RunTime 19
- Processor Diagnostic 20
- PowerUp 21
- Recovery 21
- Switch Group Assembly 21
- Last State Switch 22
- I/O Rack Number 22
- Industrial Terminal 23
- Local System Structure 23
- Remote System Structure 24
- Local/Remote 25
- Structure 25
- Chapter 2 26
- Data Table 28
- Memory Organization 29
- Data Table Areas 31
- Processor Work Areas 1 and 2 31
- Output Image Table 32
- Input Image Table 33
- Chapter 3 34
- Developing the Data Table 38
- Displaying the Data Table 38
- Data Table Area Configuration 39
- Configuring The Data Table 39
- Changing Data Table Areas 41
- Memory Write Protect 42
- User Program 43
- Instruction Address 45
- Fundamental Operation 48
- DESCRIPTION 52
- BIT NUMBER 52
- 17 1007 00 52
- STARTING WORD ADDRESS 52
- Data Table Bit Assignments 53
- Sequencer Table Bit 54
- Assignments 54
- I/O Assignments 55
- Timer/Counter Assignments 56
- Data Storage Assignments 56
- File Storage 57
- ALLEN-BRADLEY 58
- Connection Diagram Addressing 58
- Bulletin 1771 I/O Chassis 59
- (16-point Modules) 59
- Programmable Controller 60
- Introduction to Programming 65
- Ladder Diagram Logic 66
- RelayType Instructions 67
- Examine Instructions 67
- Examine Off Instruction 68
- Output Instructions 69
- Branch Instructions 73
- Solution 74
- Ending a Program 76
- Programming RelayType 77
- Operating Instructions 78
- Directories 79
- Searching 80
- Single Rung Display 82
- Incomplete Rung 82
- Remote Mode Select 83
- Inserting an Instruction 84
- Removing an Instruction 85
- Inserting a Rung 85
- Removing a Rung 85
- Without Data 86
- Online Data Change 86
- OnLine Programming 87
- Data Initialization Key 88
- Chapter 4 89
- Insert an Instruction 90
- Remove an Instruction 91
- Insert a Rung 91
- Remove a Rung 92
- Correct an Error 93
- Clearing 94
- Data Table Clear 95
- User Program Clear 95
- Partial Memory Clear 95
- Program Recommendations 96
- Figure 5.1 99
- Timer Instructions 100
- Timer OnDelay Instruction 101
- Timer OffDelay Instruction 103
- Retentive Timer Instruction 104
- Chapter 5 106
- UpCounter Instruction 107
- Counter Reset Instruction 109
- DownCounter Instruction 110
- Scan Counter Instruction 111
- Program for Determining 116
- FiletoFile 120
- Move and File 120
- Complement 120
- Logic Instructions 121
- FiletoFile AND, OR, XOR 121
- Data Transfer Instructions 124
- Get Instruction 124
- Put Instruction 125
- Data Comparison 126
- Instructions 126
- Les and Equ Instructions 126
- Get Byte and Limit Test 129
- Get Byte-Put Instruction 130
- Programming Data 131
- Manipulation Instructions 131
- Arithmetic Instructions 133
- Add Instruction 134
- Subtract Instruction 135
- Multiply Instruction 136
- Divide Instruction 136
- Programming Arithmetic 137
- BCD to Binary Conversion 138
- Programming a BCD to 139
- Binary Conversion 139
- Instruction 139
- BinarytoBCD Conversion 140
- Programming a Binaryto 140
- BCD Conversion Instruction 140
- I/O Updates 145
- Scan Sequence 145
- Immediate Input Instruction 147
- Immediate Output 148
- Programming 150
- Immediate I/O 150
- Remote Fault Zone 151
- Dependent Programming 154
- Independent Programming 155
- Watchdog Timer 158
- Peripheral Functions 160
- Contact Histogram 161
- On Time Off Time On Time 162
- Chapter 8 163
- Loading Memory from a 166
- Data Cartridge Tape 166
- Report Generation 169
- Chapter 9 170
- Commands 171
- Message Control Word File 172
- Store - MS 173
- Print - MP 174
- [Attribute #] [T] 178
- Manually Initiated Report 179
- Generation 179
- Automatic Report 180
- Messages 181
- Additional Messages 181
- Example Programming 182
- Block Transfer 184
- Address of Preset Value ↔ 100 186
- Above Data Address 186
- Block Transfer Instructions 187
- Data Address and Module 187
- Block Length 188
- File Address 188
- Chapter 10 189
- Multiple Reads of Different 191
- Block Lengths from One 191
- Defining the Block Transfer 194
- Data Address Area 194
- Buffering Data 195
- Bidirectional Block Transfer 197
- Operation 197
- Considerations 201
- Jump Instructions and 202
- Subroutine Programming 202
- Chapter 11 204
- Label Instruction 207
- Jump to Subroutine 208
- Subroutine 211
- Nested Subroutines 212
- Return Instruction 215
- Chapter 216
- File Planning 217
- File Instructions 217
- Externally Indexed Counter 219
- Internally Indexed Counter 219
- Complete Mode 220
- Distributed Complete Mode 222
- Incremental Mode 225
- File Instruction RunTime 227
- FiletoFile Move 227
- Programming FiletoFile 229
- Move Instructions 229
- FiletoWord 230
- Programming FiletoWord 231
- WordtoFile 233
- Data Monitor Mode 236
- Accessing the Data Monitor 236
- Figure 12.20 237
- Data Monitor Display 239
- Cursor Controls 240
- Data Monitoring Procedures 241
- Entering and Changing Data 242
- Shift Register Instructions 244
- Shift File Up 245
- Programming Shift File Up 246
- Shift File Down 248
- Programming Shift File 248
- Down Instruction 248
- FIFO Load and FIFO Unload 249
- Programming FIFO Load 251
- Bit Shifts 253
- Programming Bit Shift Left 255
- Bit Shift Right 257
- Chapter 14 258
- File – Starts at word 400 259
- Examine On Shift Bit 260
- Programming Examine On 260
- Shift Bit Instruction 260
- Set Shift Bit 261
- Programming Set Shift Bit 261
- Reset Shift Bit 262
- Programming Reset Shift Bit 263
- Sequencer Instructions 264
- Sequencer Output 266
- Sequencer Output Analogy 266
- Operation of the Sequencer 267
- Output Instruction 267
- Masking Output Data 268
- Chapter 15 273
- Programming the Sequencer 274
- Input Instruction 274
- Sequencer Load Instruction 276
- Load Instruction 276
- File Logic Instructions 280
- FiletoFile AND 281
- FiletoFile OR 283
- FiletoFile XOR 284
- File Complement 285
- WordtoFile Logic 287
- WordtoFile AND 288
- WordtoFile OR 290
- WordtoFile XOR 291
- Chapter 17 294
- File Diagnostics 296
- Troubleshooting Aids 300
- Bit Manipulation and 301
- Bit Manipulation 301
- Bit Monitor 302
- Force On and Force Off 302
- Functions 302
- Forced Address Display 303
- Temporary End Instruction 304
- ERR Message for an Illegal 304
- Chapter 18 305
- Figure 19.1 306
- Edge OneShot 306
- Trailing Edge OneShot 307
- Addressing 308
- 2Slot Addressing 310
- Using 8Point I/O Modules 312
- Using 16Point I/O Modules 313
- Assigning I/O Rack Numbers 314
- 1Slot Addressing 315
- 1/2Slot Addressing 318
- Appendix A 319
- System Configurations 323
- Number Systems 325
- Octal Numbering System 326
- Binary Numbering System 327
- Binary Coded Decimal 328
- Binary Coded Octal 329
- Hexadecimal Numbering 330
- Programming .01Second Timers 332
- Accuracy 333
- 10Msec T 335
- Applications 335
- Appendix C 336
- Scan Time 337
- Program Execution 337
- Compensation 338
- Program ScanTime 340
- Computation 340
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