Negating the Most Negative Two's Complement Number
Processors handle negative numbers natively using two's complement arithmetic to map both addition and subtraction to a single hardware adder. The standard procedure to negate a two's complement number is to invert all bits and add 1. Consider an 8-bit system where a register holds the bit pattern 10000000. Apply the standard negation algorithm to this specific bit pattern. Determine the resulting bit pattern and evaluate the arithmetic validity of the result within the bounds of 8-bit signed representation.
Constraints
- Assume an 8-bit register size.
- All arithmetic operations discard carries beyond the 8th bit.
- The system uses standard two's complement representation.
Topics
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