Electronics and Communication Engineering - Digital Electronics - Discussion

Discussion Forum : Digital Electronics - Section 1 (Q.No. 7)
7.
In 2's complement representation the number 11100101 represents the decimal number
+37
-31
+27
-27
Answer: Option
Explanation:

A = 11100101. Therefore A = 00011010 and A' = A + 1 = 00011011 = 16 + 8 + 2 + 1 = 27. Therefore A = -27.

Discussion:
54 comments Page 2 of 6.

Selvamani Kannan said:   8 years ago
For a two's compliment, we add +1 with the ones compliment.

So, from two's compliment to one's compliment we have to subtract -1.

I think +27 is correct.

Nikhil said:   8 years ago
Msb bit decides the sign of the number. After finding the 2's compliment the msb bit is 0, hence the negative sign. If it was 1 it would hav been +27.

Sneha said:   8 years ago
If carry is generated find 2's complement of the answer to get final result,

If carry is not generated give negative sign and write the value.

Abhishek B Revankar said:   6 years ago
Carry 1 indicates a positive number.
Carry 0 indicates a negative number.
Hence after adding 1 to the complement, the carry remains 0.
(1)

Sai said:   1 decade ago
Given A = 11100101.

2's comp A' = A + 1 = 00011011.

Why did you consider from A? Why didn't you consider from A' I mean sign.

Chandu said:   5 years ago
I think in any condition the 1st bit indicates sign of that number and 0 indicates positive sign and 1 indicates negative sign.
(3)

Priyajit Pal said:   8 years ago
Negative numbers are always represented in 2's compliment form. That's why the original no must be negative.

Sita said:   10 years ago
In the given binary form msb bit is 1 should keep '-' sign. Msb bit is 0 then you should keep positive sign.

SELVA GANESH.V said:   5 years ago
A = 11100101.
Therefore A = 00011010 and A' = A + 1 = 00011011 = 16 + 8 + 2 + 1 = 27.
Therefore A = -27.

Basava Prabhu said:   7 years ago
2's complement means only negitive number. If we take 2's complement of 011 then it means negitive of 011.


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