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Let $A = 1111 1010$ and $B = 0000 1010$ be two $8-bit$ $2’s$ complement numbers. Their product in $2’s$ complement is

  1. $1100 0100$
  2. $1001 1100$
  3. $1010 0101$
  4. $1101 0101$
asked in Digital Logic by Veteran (59.5k points)
edited by | 2.1k views

2 Answers

+19 votes
Best answer
$A = 1111\quad 1010 = -6$
$B = 0000\quad 1010 = 10$
$A\times B = -60 =1100\quad 0100$
answered by Veteran (55.1k points)
selected by
+5 votes

Explanation: Here, we have

A = 1111 1010 =  – 610 (A is a 2’s complement number)

B = 0000 1010 =  1010 (B is a 2’s complement number)

A x B = – 6010 = 1 011 11002 = 1 100 0011 (1’s complement) = 1 100 0100 (2’s complement)

Thus, the product of A and B in 2’s complement is 1100 0100, which is option A.

So, A is the correct option

answered by Loyal (8.8k points)
0
for this question wht I did first,simply multiply both numbers and the result which I got  000100111000100

after taking 2's complement of this -2500    came.plz someone verify this.

I long it is taking long time but I want to know my mistake [email protected] @debashish


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