Let X and Y be (unsigned) 2-bit integers so X = x 1 x 0 and Y = y 1 y 0 .

1- Write a truth table for X > Y in terms of the four input variables x1,x0,y1, and y0.

2- Use the theory of minterms and maxterms to write a boolean expression for the condition X >Y. Your expression should use only AND, OR, and NOT operations on the input variablesx1,x0,y1, andy0.

3- Implement your formula as a digital circuit