how to find negation in hexadecimal

To find the negation of a hexadecimal number, you can follow these steps:

1. Convert the hexadecimal number to binary: Each hexadecimal digit corresponds to a 4-digit binary number. For example, the hexadecimal number 'A' corresponds to the binary number '1010'.

2. Find the binary complement: Flip all the bits in the binary number. This means changing all the 1s to 0s and all the 0s to 1s.

3. Add 1 to the binary complement: This is because the negation of a number in binary is its two's complement.

4. Convert the result back to hexadecimal: Each 4-digit binary number corresponds to a hexadecimal digit.

Let's take an example. If you want to find the negation of the hexadecimal number 'A', you would:

1. Convert 'A' to binary, which gives '1010'.
2. Find the binary complement of '1010', which is '0101'.
3. Add 1 to '0101', which gives '0110'.
4. Convert '0110' back to hexadecimal, which gives '6'.

So, the negation of 'A' in hexadecimal is '6'.