Double Digit Binary Comparator

Let's say we have two double digit binary number: AB and CD with input of logic input as follows: A C B D [ we want to compare the corresponding digit ] Output: top : TRUE if AB > CD middle : TRUE if AB < CD bottom : TRUE if AB = CD How does it work? - In order for AB to be larger than CD, A must be greater than C OR (A is equal to C and B is greater than D) - similar reasoning for the case AB < CD. - in order for AB = CD, A must be equal to C and B must be equal to D BONUS: If we put the entire circuit in a black box, we can make 4 digits binary comparator easily by putting the black box in the similar arrangement as the 'single digit binary comparator' (the most-left part)

published 4 years ago