Subtract the hexadecimal number 5634 from DAB7 using two's complement addition method?

Answer 1

First, write each number in binary form:

DAB7 = 1101 1010 1011 0111
5634 = 0101 0110 0011 0100

Now take the two's complement of 5634 in two steps:

1's complement: 1010 1001 1100 1011

Add 1 to make the 2's complement: 1010 1001 1100 1100

Now add to find your result:

1101 1010 1011 0111 + 1010 1001 1100 1100 = 1000 0100 1000 0011

And write the result in hex:

8483

This works because the two's complement is the negative of the original number.