Question

Perform two’s complement addition on the following pairs of numbers. In each case, indicate whether an...

Perform two’s complement addition on the following pairs of numbers. In each case, indicate whether an overflow has occurred. a. 1001 1101 + 1111 1110

b. 0111 1110 + 0110 0111

c. 1000 0011 + 1000 0010

d. 1010 1000 + 0010 1100

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Answer #1

The rules for detecting overflow in a two's complement sum are simple:

  1. If the sum of two positive numbers yields a negative result, the sum has overflowed (sign bit of the result is different from the sign of the operands)
  2. If the sum of two negative numbers yields a positive result, the sum has overflowed (sign bit of the result is different from the sign of the operands)
  3. Otherwise, the sum has not overflowed.

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