GATE Bits 15 16 Number System || Lesson 26.8 || Digital Electronics || Learning Monkey ||

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Electronics

We will Understand GATE Bits 15 16 Number System.

15. Consider the number given by the decimal expression:

163∗9+162∗7+16∗5+3

The number of 1′s in the unsigned binary representation of the number is ______.

[ GATE 91 ]
ANS: 9

Explanation: Hexa representation of given no. is (9753)16

Its binary representation is (1001011101010011)2

16. Zero has two representations in:

a. Sign magnitude

b. 1’s complement

c. 2’s complement

d. None of the above

[ GATE 99 ]

ANS: A & B

Explanation: Zero has two representation in sign’s magnitude:
1 – MSB is 0
2 – MSB is 1
Both of this representation has an equal value that is 0.
Also zero have two representation in 1’s compliments:
1 – All bits are Zero.
2 – All bits are 1

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