Question

Using a "word" of 5 bits, list all of the possible signed binary numbers and their decimal equivalents that are represent able in:

i. Signed magnitude



ii. One's complement



iii. Two's complement

Answer 1

i). Signed magnitude

Five bit representation = 11111

For positive 5 bit representation = 01111 = +15

For negative 5 bit representation = 11111 = -15

ii). One's complement

For positive 5 bit representation = 01111 =+15

For negative 5 bit representation = 10000 = -15

iii). Two's compliment

For positive 5 bit representation = 01111 = -15

For negative 5 bit representation = 10001 = +15