16’s complement of B2FA is(A) 4D06(B) 4D05(C) 3D06(D) 3D05
Question
16’s complement of B2FA is(A) 4D06(B) 4D05(C) 3D06(D) 3D05
Solution
To find the 16's complement of a hexadecimal number, you first need to find the 15's complement and then add 1 to the result.
Here's how you can do it:
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Convert the hexadecimal number to its binary equivalent. The hexadecimal number B2FA converts to binary as 1011001011111010.
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Find the 15's complement of the binary number. To do this, you invert each bit (change 1's to 0's and 0's to 1's). The 15's complement of 1011001011111010 is 0100110100000101.
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Convert the 15's complement back to hexadecimal. The binary number 0100110100000101 converts to hexadecimal as 4D05.
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Add 1 to the 15's complement to get the 16's complement. 4D05 + 1 = 4D06.
So, the 16's complement of B2FA is 4D06. Therefore, the answer is (A) 4D06.
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