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Appendix
C
Two’s Complement Binary Numbers
The SLC 500™ processor memory stores 16-bit binary numbers. Two’s
complement binary is used when performing mathematical
calculations internal to the processor. Analog input values from the
analog modules are returned to the processor in 16-bit two’s
complement binary format. For positive numbers, the binary notation
and two’s complement binary notation are identical.
As indicated in the figure on the next page, each position in the
number has a decimal value, beginning at the right with 2
0
and ending
at the left with 2
15
. Each position can be 0 or 1 in the processor
memory. A 0 indicates a value of 0; a 1 indicates the decimal value of
the position. The equivalent decimal value of the binary number is the
sum of the position values.
Positive Decimal Values
The far left position is always 0 for positive values. As indicated in the
figure below, this limits the maximum positive decimal value to 32,767
(all positions are 1 except the far left position). For example:
0000 1001 0000 1110 = 2
11
+2
8
+2
2
+2
2
+2
2
= 2048+256+8+4+2 = 2318
0010 0011 0010 1000 = 2
13
+2
9
+2
8
+2
5
+2
3
= 8192+512+256+32+8 = 900
0
01111 111 111 111 1
0x2
15
= 0
This position is always zero for positive numbers
1x2
14
= 16384
1x2
13
= 8192
1x2
12
= 4096
1x2
11
= 2048
1x2
10
= 1024
1x2
9
= 512
1x2
8
= 256
1x2
7
= 128
1x2
6
= 64
1x2
5
= 32
1x2
4
= 16
1x2
3
= 8
1x2
2
= 4
1x2
1
= 2
1x2
0
= 1
16384
8192
4096
2048
1024
512
256
128
64
32
16
8
4
2
1
32767
- SLC 500™ Analog 1
- Input Modules 1
- Important User Information 2
- Table of Contents 3
- Table of Contents ii 4
- Table of Contents iii 5
- Table of Contents iv 6
- Who Should Use this 7
- Purpose of this Manual 7
- Contents of this Manual 8
- Related Documentation 9
- Common Techniques Used 10
- Allen-Bradley Support 10
- Overview 11
- Hardware Features 12
- System Overview 13
- Module Operation 14
- Module Calibration 14
- Required Tools and 15
- Equipment 15
- Procedures 16
- (Installation and 17
- 01 0 0010 00 0 00 00 00 18
- (Application Examples) 20
- 1112131415 910 8 67450123 21
- (Channel Configuration 21
- Data and Status) 21
- 12 415 14 13 11 10 9 87 65 32 22
- 0 0111 10 0 00 00 00 22
- Installation and Wiring 23
- Environnements dangereux 24
- Electrostatic Damage 24
- 1746-NI16 Power 25
- Requirements 25
- Module Location in Chassis 25
- Fixed Chassis Example 27
- Compliance to European 28
- Union Directives 28
- Module Installation and 29
- Module Installation Procedure 30
- Module Removal Procedure 30
- Terminal Wiring 31
- 1746-NI16V 32
- 1746-NI16I 33
- Wiring Guidelines 34
- Input Devices 35
- Module ID Code 37
- Class 1 and Class 3 38
- Interface 38
- Module Addressing 39
- Class 1 Input Words - Data 41
- Class 3 Input Words - Data 41
- Module Update Time 42
- Channel Sample Order 43
- Channel Filter Frequency 45
- Selection 45
- Aliasing Frequency 46
- Noise Rejection 46
- Response to Slot Disabling 47
- Channel Configuration 49
- Output Image Channel 50
- Configuration Procedure 50
- Channel Configuration Word 51
- Low Calibration 53
- High Calibration 53
- Unused Bit (Bit 3) 54
- Class 1 Handshaking (Bit 2) 55
- Input Image - Channel Data 56
- Scaling the Channel Data 58
- Scaling Examples 60
- Formulas 60
- Scaled-for-PID to Real Units 62
- Channel Status Checking 64
- Class 1 Status Word 66
- Class 3 Status Word 67
- Input Word Bit Definitions 68
- Class 1 Handshaking (Bit 6) 69
- Input Type (Bits 3 and 2) 70
- Module operation vs 71
- Channel Operation 71
- Power-Up Diagnostics 71
- Channel Diagnostics 72
- LED Indicators 73
- Module Status LED 74
- All LEDs 74
- Error Codes 75
- Troubleshooting Flowchart 76
- Replacement parts 77
- Contacting Allen-Bradley 77
- Application Examples 79
- Ladder Files 81
- File 2 (Continued) 82
- File 3 (Continued) 87
- Class 3 Example 96
- Ladder File 2 97
- Data File N7 99
- Publication 1746-UM001A-US-P 100
- Specifications 101
- Physical Specifications 102
- Environmental 102
- Input Specifications 103
- A-4 Specifications 104
- Configuration Worksheet 105
- Appendix 107
- Calibration 109
- D-2 Calibration 110
- Glossary 111
- Glossary 2 112
- Glossary 3 113
- Glossary 4 114
- Numerics 115
- 2 Index 116
- Index 3 117
- 4 Index 118
- Back Cover 119
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