Sign-Magnitude Representation
Early computing architectures used sign-magnitude representation for signed integers before adopting two's complement for its arithmetic efficiency.
The system uses an 8-bit sign-magnitude encoding. The most significant bit (MSB) acts as the sign flag, where 0 is positive and 1 is negative. The remaining 7 bits represent the absolute magnitude of the number.
Determine the 8-bit binary representations for +3 and -3. Evaluate the hardware outcome if these two binary patterns are fed directly into a standard unsigned binary adder.
Constraints
- The system strictly uses 8-bit words.
- The standard binary adder performs pure unsigned binary addition with no awareness of sign flags.
Topics
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