Question

Convert 77 base 10 to 8-bit binary and to hex stored using the followed signed number notation:

a) Signed Magnitude Notation Base 2: 01001101, Signed Magnitude Notation Base 16: 4D

b) Signed Magnitude Notation Base 2: 11001101, Signed Magnitude Notation Base 16: CD

c) 1's Complement Notation Base 2: 01001101, 1's Complement Notation Base 16: 4D

d) 1's Complement Notation Base 2: 11001101, 1's Complement Notation Base 16: CD

e) 2's Complement Notation Base 2: 01001101, 2's Complement Notation Base 16: 4D

f) 2's Complement Notation Base 2: 11001101, 2's Complement Notation Base 16: CD

Answer 1

To represent 77 in different signed number notations, 01001101 represents +77 in 8-bit binary, 4D represents +77 in signed magnitude base 16, and CD represents -77 in signed magnitude base 16.

Step-by-step explanation:

To convert 77 base 10 to 8-bit binary, we can represent it as 01001101. In signed magnitude notation, the most significant bit represents the sign, with 0 indicating positive and 1 indicating negative. So, in signed magnitude notation base 2, 01001101 represents +77, and in signed magnitude notation base 16, it represents +4D.

In 1's complement notation, the negative value is obtained by flipping all the bits of the positive value. So, in 1's complement notation base 2, 01001101 represents +77, and in 1's complement notation base 16, it represents +4D.

In 2's complement notation, the negative value is obtained by flipping all the bits of the positive value and adding 1. So, in 2's complement notation base 2, 01001101 represents +77, and in 2's complement notation base 16, it represents +4D.