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GATE Bits 13 14 Number System || Lesson 26.7 || Digital Electronics || Learning Monkey ||

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We will understand GATE Bits 13 14 Number System

13. The representation of the value of a 16-bit unsigned integer X in a hexadecimal number system is BCA9. The representation of the value of X in the octal number system is:
a. 571244
b. 736251
c. 571247
d. 136251

[ GATE 2017 ]

ANS: D

Explanation:

( BCA9)16

1011  1100  1010  1001

For octal number system: grouping of three- three bits from right to left

001  011  110  010  101  001

      1  3   6     2    5    1

14. In 16-bit 2’s complement representation, the decimal number −28 is:
a. 1111 1111 0001 1100
b. 0000 0000 1110 0100
c. 1111 1111 1110 0100
d. 1000 0000 1110 0100

[ GATE 2019 ]

ANS: C

Explanation:

+28 ⇒ 0000 0000 0001 1100

–28 ⇒ 1111 1111 1110 0100 (2’s complement form)

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