Electronics - Arithmetic Operations and Circuits - Discussion

Discussion Forum : Arithmetic Operations and Circuits - General Questions (Q.No. 11)
11.
Binary subtraction of a decimal 15 from 43 will utilize which two's complement?
101011
110000
011100
110001
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
11 comments Page 1 of 2.

Divij Mohan said:   10 months ago
Complement is only for negative numbers
43-15 = +28

Binary equivalent of +28 = 011100.

Option C should be the right answer
(1)

Mrudhula said:   1 decade ago
43's two's complement is 010001.

15's two's complement is 0001.

Binary subtraction is 010000 may I know what is wrong in my answer.

Nikhil said:   1 decade ago
43 is 101011 --- (1).
15 is 1111 ----- (2).

Subtract (1)-(2)=110000.
And 2's comp of 110000 is 110001.

Sourav said:   1 decade ago
I don't agree with your answer @Nikhil, 2's comp can be made up after 1's compliment but you did it in a wrong way to make the answer correct.

Brajendra Kumar Mishra said:   1 decade ago
I think answer will be (C).

43 = 1 0 1 0 1 1.
15 = 0 0 1 1 1 1.

Take the 2's complement of 15 =1 1 0 0 0 1.

Then add this value with binary equivalent of 43.

Will get,

1 0 1 0 1 1
+1 1 0 0 0 1
=1 0 1 1 1 0 0.

Then discard the carry output you will get 011100 so option will be (C).
We can verify it by taking simply 43 - 15 = 28.

When you will convert option C in decimal number that will give the correct answer that is '28'.

So option C is the correct answer.

Rathi said:   1 decade ago
@Brajendra.

Your way of subtraction is correct. But in the Question "will utilize which two's complement".

I think they ask value of the 2's complement which is used in that subtraction. So 2's complement of 15 = 1 1 0 0 0 1.

So D is Correct Answer.

Chethan said:   1 decade ago
Yea @Rathi, you are right, Thanks for the meaning of the question.

Jaskaran singh(jass) said:   7 years ago
Please explain, what is mean of two's complement?

SPS said:   7 years ago
@Jaskaran.

Two's complement is nothing but the complement of given no plus 1.

Nisha said:   7 years ago
The question is that which 2's complement utilize.

And it is 15. It is subtracted and we make two's complement of it which is 110001.


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