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 5 of 6.

Ashok said:   1 decade ago
I don't understand 16+8+2+1.

Siddiq said:   1 decade ago
Why -ve sign?

E&tc group D.Y. Patil ambi pune said:   1 decade ago
-(2^4=16, 2^3=8, 2^1=2, 2^0=1) = -27.

Anshika said:   10 years ago
How come it is -ve sign. It should be +ve?

Can anyone explain me?

B.Mallesh goud said:   10 years ago
Why we use -ve sign instead of +ve sign?

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.

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

Vishal said:   10 years ago
Yes @Aslam its +27.

Renu said:   9 years ago
How did you get - symbol. Please explain clearly.

Priyanka said:   9 years ago
I think this negative sign has been confirmed from the MSB and LSB bits of the given number and not the 1's complement number.

After finding answer through the appropriate orocedure as discuss above, check the given number, and give the particilar +ve or -ve sign to the answer. Thats it.


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