Data Representation | Computer System Organization Objective Questions with Answers

(6) The sum of two hexadecimal numbers 23D and 9AA gives the hexadecimal number
[A] AF7
[B] BF6
[C] BE7
[D] BE5

Comment

Answer: Option [C]

23D -> 0010 0011 1101 and 9AA -> 1001 1010 1010

So the sum of two hexadecimal numbers is 1011 1110 0111 i.e. BE7

(7) When the value 37H is divide by 17H, the remainder is
[A] C0 H
[B] 03 H
[C] 07 H
[D] 09 H

Comment

Answer: Option [D]

37 H means 00110111

17 H means 00010111

On division of 37 H by 17 H the remainder is 09 H

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(8) The numbers in the range -23 to +31 is represented by the minimum number of bits :
[A] 6
[B] 8
[C] 7
[D] 5

Comment

Answer: Option [A]

31 can be represented by 5 bits and the 1 bit needed for sign bit.

(9) The largest integer that can be represented in signed-2's complement representation using n bits is
[A] 2n-1
[B] 2n
[C] 2n-1-1
[D] 2n-1

Comment

Answer: Option [D]

2n-1 is the largest integer in 2's complement representation using n bits.

(10) The least negative value that the product of two 8-bit two's complement numbers can take is
[A] -214
[B] -215
[C] -210
[D] -212

Comment

Answer: Option [B]

-215 is the least negative value for the two 8-bit 2's complement numbers.

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