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Digital Arithmetic Operations and Circuits - Technical MCQs

Q1:

If [A] = 1011 1010, [B] = 0011 0110, and [C] = [A] • [B], what is [C 4..2] in decimal?

A 1

B 2

C 3

D 4

ANS:D - 4

[C]=[A]*[B] =00110010(bit by bit multiplication--zeroth bit with zeroth bit, first bit with first bit and so on)

Now the indexing of the [C] is like MSB bit [0] index is 7 and then 2nd MSB bit [0] index is 6 and so on.
Last LSB bit [0] index is 0.
00110010 in this from 4 indexes to 2 indexes the weight is 100.
and 100 is represented as 4 in decimal so the answer is 4.