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 3 of 6.

Eshwar said:   1 decade ago
Yes the first num indicates the negative number so the two 's complement must be a positive number right.

Arindom said:   9 years ago
Iy should be +27 because the msb obtain after the calculation is 0 which indicates its sign bit as +ve.

Aslam said:   10 years ago
They asked decimal equivalent of 2's complement of 11100101 which is 00011011 here MSB is 0, hence +27.

Sudha said:   1 decade ago
00011011 = 00011011.

= 0(2^7)+0(2^6 )+0(2^5)+1(2^4 )+1(2^3)+0(2^2)+1(2^1)+1(2^0).

= 16+8+2+1 = -27.

Maham Fayyaz said:   4 years ago
Negative signed indicates the signed Binary numbers as we take compliment of only -ve signed numbers.

Arun said:   9 years ago
There is no carry bit. If the carry bit present it will be positive or else it will be negative.

Akash choudhary said:   1 decade ago
In 2's complement if first digit from left is 1 then it is a -ve number else 0 then +ve number.

Ramakrishna said:   9 years ago
2's compliment represent of any number is - (2's compliment of the original number).

Anuradha said:   1 decade ago
I don't understand this step - 00011011 = 16 + 8 + 2 + 1 = 27. Therefore A = -27.

Aparna said:   7 years ago
I can't understand it clearly, Please give me the explanation in detail.
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