Aspire Faculty ID #4192 · Topic: NIMCET 2019 · Just now
NIMCET 2019

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

Solution

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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Arpit Kumar Mishra
Arpit Kumar Mishra , Fast Track Test Series
Commented May 17, 2022
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Shivam Gupta
Shivam Gupta , Aspire
Commented May 27, 2025
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