Question

P, Q and R are the decimal integers corresponding to the 4-bit binary number 1100 considered in signed magnitude, 1's complement, and 2's complement representations, respectively. The 6-bit 2's complement representation of (P+Q+R) is

Answer 1

Given, binary number is 1100
1's complement of 1100 = -3
Sign magnitude of 1100 = -4
2's complement of 1100 = -4
$\therefore P+Q+R=-4-3-4=-11$
The 6 digit 2's complement of (-11)=110101