Question

What are the advantages and disadvantages of (a) signed-magnitude, (b) one's complement, and (c) two's complement integer number representations?

Answer 1

Signmagnitude:
advantage: determining the number is negative or positive is done by simply check most significant bit
disadvantage:since most signficant bit is used for checking sign, the numbers range it can represent is low, and for zero it has two representations
seperate circuits are needed for addition and subtraction of sign magnitude numbers
One's complement:
Advantage:arithmetic operations can be performed easily by computer, can represent higher range numbers than sign magnitude
disadvantage:zero has two representations
Two's complement:
Advantage:only one represebtation for zero,can represent higher range numbers than sign magnitude
disadvantage:while negating lowest representable value, we will get an overflow in this, but in one's complement and signmagnitude it doesn't happen