The following Hexadecimal operation yields: 0xF0 – 0xAA + 0x10 ………. 

Concept:

The steps of hexadecimal subtraction using 16’s complement include:

Step 1: Find the 16’s complement of the subtrahend (Second number)

Step 2: Add first number (minuend) and 16’s complement of the subtrahend.

Step 3: If carry is generated, discard the carry. Otherwise, take 16’s complement for the sum and assign a negative sign.

Application:

16^th complement of a number is performed by subtracting 15 from each digit and adding 1 to the result.

Performing 0xF0 – 0xAA, we proceed as:

Taking the 16^th complement of 0xAA, we get 0x46.

Now, adding this to 0x10, we get 0x56.

Note:

Hexadecimal subtraction can also be performed by using the 15’s complement method. The steps of hexadecimal subtraction using 15’s complement include:

Step 1: Find the 15’s complement of the subtrahend (Second number)

Step 2: Add first number (minuend) and 15’s complement of the subtrahend.

Step 3: If carry is generated, then add the carry to the result. If not, then the result is negative and take the 15’s complement again to get the result.