Convert 8but twos complement hex number 7C to decimalSolutio

Convert 8-but two\'s complement hex number 7C to decimal.

Solution

Hexadecimal representation of 2\'s complement

(7C)₁₆ = (0111 1100 )₂

its 2\'s complement = 1000 0011 +1

= 1000 0100 it is a negative number as it is in 2\'s complement form ,sign bit(leftmost) is 1

negative numbers can be represented by 2\'s complement

calculate its value 1000 0100

1\'s complement = 0111 1011

+1

2\'s complement = 0111 1100 =(124)₁₀

adding sign number = (-124 )₁₀