Binary numbers can be negative ( unsigned ) , but do not display a negative sign when the subtrahend exceeds the minuend. Try using the Windows Calculator

( set to Bin and Byte ) and subtract 100 by 101 . Observe the result.

Show how the decimal number ? 3,173 would be expressed as a 16 - bit binary integer using two's complement notation. Remember for binary addition use these rules: 0 + 0 = 0 , 1 + 0 = 1 , 0 + 1 = 1 and 1 + 1 = 10 ( the 1 is the " carried " number ) .

Hint: first create the complement of the binary number, substitute a 0 for a 1 and a 1 for a 0 , and then add a 1 to this complement binary number.

(1) write the original decimal number in a binary number format

(2) change the numbers: a 1 becomes a 0 , a 0 becomes a 1

(3) add 1 to the result in Step 2 above