Skip to content

PRO TIP Block youtube.com at the DNS level — Pi-hole, NextDNS or your hosts file — but allow youtube-nocookie.com and i.ytimg.com. These tutorials keep playing; the rabbit hole does not.

Learning without distractions

GATE Bits 05 06 Number System || Lesson 26.3 || Digital Electronics || Learning Monkey ||

748 views on YouTube

Wisdomers - Computer Science and Engineering 154 tutorials here
Electronics

We will understand GATE Bits 05 06 Number System.
05. The 2′ s complement representation of the decimal value – 15 is
a. 1111
b. 11111
c. 111111
d. 10001

[ GATE 2002 ]

ANS: D

Explanation: We have -1510 = 1 11112

1’s complement of  -15 = 1 0000 (Here, 1 represents negative sign)

2’s complement of -15 = 1 0001

06. Assuming all numbers are in 2’s complement representation, which of the following numbers is divisible by 11111011?
a. 11100111
b. 11100100
c. 11010111
d. 11011011

[ GATE 2002 ]

ANS: A

Explanation: Since the most significant bit is 1, all numbers are negative.
2’s complement of divisor (11111011) = 1’s complement + 1 = 00000100 + 1 = 00000101
So the given number is -5

The decimal value of option A is -25

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