Spectrum Controls 1769sc-IF8u - Manual (Page 79)

Appendix B Appendix B Appendix B Appendix B Appendix B
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Number Number Number Number Numbersssss
The 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 20 and ending at the left
with 215. 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 32767 (all
positions are 1 except the far left position). For example:
0000 1001 0000 1110 = 2 11 +2 8 +2 3 +2 2 +2 1 = 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 = 9000