NIMCET 2019 Question Paper with solutions

Question : 96 of 120

Marks: +1, -0

If N is a 16 bit signed integer , the 2's complement represent of N is (F87B)i6 The s2 ’complement representation of 8N is

(C3D8) $_{16$
(1 87B) $_{16$
(F878) $_{16$
(987B) $_{16$

Validate

Solution:

N=(F87B)_16

is 1111 1000 0111 1011 in binary. Note that most significant bit in the binary representation is 1, which implies that the number is negative
To get the value of the number perform the 2’s complement of the number.We get N as -1925 and 8N as -15400. Since 8N is alo negative ,we need to find 2's compliment of it (-15400)
Binary of 15400 = 0011110000101000
2's compliment = 1100001111011000 =

(\C3\D8)_16

Go to Question:

Prev Question

Next Question