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Appendix
D
Publication
17466.8 - April 1997
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 V
alues
The far left position is always 0 for positive values. As indicated in
the figure below, this limits the maximum positive decimal value to
32767 (all positions are 1 except the far left position). For example:
0000
1001 0000 1
1
10 = 2
11
+2
8
+2
3
+2
2
+2
1
= 2048+256+8+4+2 = 2318
0010 001
1 0010 1000 = 2
13
+2
9
+2
8
+2
5
+2
3
= 8192+512+256+32+8 = 9000
10 1 111 1111 111 111
1x2
14
=
16384
0x2
15
=
0
This position is always zero for positive numbers
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 500t 1
- Input Module 1
- AllenBradley 1
- Important User 2
- Information 2
- Table of Contents 3
- Table of Contentsii 4
- Table of Contents iii 5
- Table of Contentsiv 6
- Who Should Use this 7
- Purpose of this Manual 7
- Contents of this Manual 8
- Related Documentation 9
- Common Techniques Used in 10
- AllenBradley Support 10
- Overview 11
- Hardware Features 12
- System Overview 13
- (shown for one channel) 14
- Quick Start 15
- Procedures 16
- sensor cable 17
- 1011 00000000 18
- Program the configuration 19
- 0000 00000000 20
- 1011 00000000000 21
- Installation and Wiring 22
- Module Location in Chassis 23
- Compliance to European 24
- Union Directives 24
- Module Installation and 25
- Module Installation Procedure 26
- Terminal Wiring 27
- Publication 28
- 17466.8 - April 1997 28
- Input Devices 30
- Preliminary Operating 32
- Considerations 32
- Class 1 and Class 3 33
- Interface 33
- Module Addressing 33
- Class 3 Memory Map 34
- O : 4 . 2 35
- I : 4 . 10 35
- Module Update Time 36
- Channel TurnOn, TurnOff 37
- Response to Slot Disabling 37
- Channel Filter Frequency 38
- Selection 38
- Channel Configuration, Data 42
- Channel Configuration 43
- Procedure 43
- Channel Data Word 46
- Scaling the 47
- Scaling Examples 49
- " TIP 49
- Channel Status Checking 52
- 10 V dc 53
- Input Type Status (Bits 0-2) 54
- Channel Status (Bit 11) 54
- Open Circuit Error (Bit 12) 55
- OverRange Error (Bit 13) 55
- UnderRange Error (Bit 14) 55
- Configuration Error (Bit 15) 55
- 1100 00110100 56
- Interfacing to the PID 58
- Instruction 58
- Monitoring Channel Status 59
- Bits (Class 3 Mode Only) 59
- Module Diagnostics and 60
- Troubleshooting 60
- LED Indicators 61
- Module Status LED (Green) 63
- Troubleshooting Flowchart 64
- Replacement Parts 65
- Contacting AllenBradley 65
- Application Examples 66
- Program Listing 68
- Data File 68
- Supplementary Example 69
- 1112131415 71
- 910 8 67450123 71
- Bit Number 71
- Specifications 76
- TTL:Chap 77
- +85°C (-40°F to +185°F) 77
- Configuration Worksheet 78
- Converting from 1746NI4 to 79
- 1746NI8 79
- 1100 01111000 81
- 1100 01100000 81
- Two's Complement Binary 82
- Glossary 84
- GlossaryG–2 85
- Glossary G–3 86
- Worldwide representation 91
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