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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

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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:

  1. Convert the hexadecimal number to its binary equivalent. The hexadecimal number B2FA converts to binary as 1011001011111010.

  2. 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.

  3. Convert the 15's complement back to hexadecimal. The binary number 0100110100000101 converts to hexadecimal as 4D05.

  4. 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.

This problem has been solved

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