Obtain the 1s and 2s complements of the following binary num

Obtain the 1\'s and 2\'s complements of the following binary numbers:

(a)00010000

(b)00000000

(c)11011010

(d)10101010

(e)10000101

(f)11111111

Solution

Ans) 1\'s complement is inversion of each bit and 2\'s complement is adding 1 to 1\'s complement and ignore carry or overflow

(a) 00010000-------11101111 (1\'s complement)

1

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11110000(2\'s compliment)

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(b) 00000000-------11111111 (1\'s complement)

1

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00000000(2\'s compliment)

---------------------------------------------------------------------------

(c) 11011010-------00100101 (1\'s complement)

1

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00100110(2\'s compliment)

---------------------------------------------------------------------------

(d) 10101010-------01010101 (1\'s complement)

1

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01010110(2\'s compliment)

-----------------------------------------------------------------------

(e) 10000101-------01111010 (1\'s complement)

1

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01111011(2\'s compliment)

----------------------------------------------------------------

(f) 11111111------- 00000000 (1\'s complement)

1

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00000001(2\'s compliment)

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