1. The problem statement, all variables and given/known data Convert a3'a1 + a3'a2 + a3'a0 + a3a2'a1'a0' to an expression (well, it's a circuit eventually) that would only employ NAND and NOR gates. Use DeMorgan's Law. 2. Relevant equations a'+b'=(ab)' 3. The attempt at a solution I applied DeMorgan's as the problem suggested... (a3'a1)''+(a3'a2)''+(a3'a0)'' + (a3a2'a1'a0')'' Which yielded: ( (a3'a1)' (a3'a2)' (a3'a0)' (a3a2'a1'a0')')' This is in just NAND and NOR gates, but the circuit isn't really aesthetically appealing... Is there a simplifying trick I'm missing? Or is this just what it is supposed to be? Thanks in advance!