Problem 1: Design a circuit using NAND gates that detects the "above" condition for two 2-bit values. That is, given two 2-bit variables x and y, F(x,y) = 1 when the unsigned integer value of x is less than the unsigned integer value of y.
a) Give a truth table for the output of the circuit, F.
b) Find a minimal sum of products for F.
c) Implement F using PLA INSTEAD OF NAND