If the 2's complement representation of a number is (011010)2 , what is its e...

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Question Id : 4192 | Context :NIMCET 2019

Question

If the 2's complement representation of a number is (011010)₂ , what is its equivalent hexadecimal representation?

🎥 Video solution / Text Solution of this question is given below:

2's Complement to Hexadecimal Conversion

Given the 2's complement binary number: (011010)
Find its equivalent hexadecimal representation.

Since the number has 6 bits, group the bits into two groups of 4 bits (add leading zeros if needed):

$(011010)_2 = (00011010)_2$

Now, split into two nibbles (4 bits each):

$0001 \quad 1010$

Convert each nibble to hexadecimal:
- $0001_2 = 1_{16}$
- $1010_2 = A_{16}$

Therefore, the hexadecimal representation is: 1A

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Ask Your Question or Put Your Review.

Arpit Kumar Mishra , Fast Track Test Series
Commented May 17 , 2022

Solution kaise hoga

0 Upvote 0 Downvote Reply

Shivam Gupta , Aspire
Commented May 27 , 2025

Solution Added for If the 2's complement representation of a number is (011010)2 , what is its equivalent hexadecimal representation?

0 Upvote 0 Downvote Reply

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