GATE Bits 17 18 Number System || Lesson 26.9 || Digital Electronics || Learning Monkey ||

GATE Bits 17 18 Number System.
17. The 2’s complement representation of (−539)10 in hexadecimal is
a. ABE
b. DBC
c. DE5
d. 9E7

[ GATE 2001 ]

ANS: C

Explanation:

-53910 = 1 010 0001 10112 ( Leftmost 1 denotes negative )

One’s complement = 1 101 1110 0100

Two’s complement = 1 101 1110 0101

18. Consider the equation (43)x = (y3)8 where x and y are unknown. The number of possible solutions is ________.
a. 3
b. 4
c. 5
d. 6

[ GATE 2015 ]

ANS: C

Explanation:

3 + 4x = 3 + 8y where 0 less= y = 5 (because the number represented in base x is 34)

x = 2y and 0 less= y less= 7

The following are possible solutions

y = 3, 4, 5, 6, 7

x = 6, 8, 10, 12, 14

Link for playlists:
https://www.youtube.com/channel/UCl8x4Pn9Mnh_C1fue-Yndig/playlists

Link for our website: https://learningmonkey.in

Follow us on Facebook @ https://www.facebook.com/learningmonkey

Follow us on Instagram @ https://www.instagram.com/learningmonkey1/

Follow us on Twitter @ https://twitter.com/_learningmonkey

Mail us @ learningmonkey01@gmail.com