Find 2s compliment 427 12 bits long for example 000000000000

Find 2\'s compliment -427 (12 bits long for example 000000000000) 1111100110000 00011010101010 111001010100 111001010101

Solution

-427

negative numbers can be represented by 2\'s complement

convert 427₁₀   to binary

                      remainders

2|427

2|213               1

2|106               1

2|53                 0

2|26                 1

2|13                 0

2|6                   1

2|3                   0

2|1                   1

2|0                   1

= 110101011

= 0001 1010 1011

= 1110 0101 0100        (1s complement)

                          +1        (2\'s complement)

= 1110 0101 0101

Hence (4.111001010101) is correct option.