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5 Answers

Best answer
35 votes
35 votes
$A = 1111\quad 1010 = -6$
$B = 0000\quad 1010 = 10$
$A\times B = -60 =1100\quad 0100$

Correct Answer: $A$
edited by
11 votes
11 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

8 votes
8 votes

In 2's complement form 

A = 11111010 = -128+64+32+16+8+2 = -6

B = 00001010 = 10

Now A* B = -60

-60 = -128+64+4 =11000100

Option : A

 

4 votes
4 votes

 A=11111010(in 2's compliment)

Convert into decimal then A= -6

There are sequence of 1's in left side delete all consecutive 1's except last one i.e;(delete four 1's from starting) This is shortcut of finding a decimal number from 2's compliment form

11111010=1010 and (1010= -8+2= -6)

B=00001010(in 2's compliment)

Convert into decimal then B=(10 ) in decimal

(00001010)= 8+2 = 10 in decimal

A×B= (-6)×10= (-60)

How to represent (-60) in 2's compliment form?

First write +60 in binary (using 8 bit because here all options are in 8 bits)

+60 in binary=00111100

Now take 2's compliment of (00111100)=11000100=(-60) in decimal

Hence option A is right.

Answer:

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