1. Derive the Boolean expressions for the Logic Extender (LE), Arithmetic Extender (AE), and Carry Extender (CE) circuits for an ALU with the following operations table. Hint: the LE has 5 inputs {S2, s1,s0,A,B} and 1 output x1,AE4 inputs {s2,s1,s0,B} and 1 output y0 and CE3 inputs {s2,s1,s0} and 1 output c0. Show work (min: simplified truth-tables and K-maps) LE: (4pts)x1=AE:(3pts)yi=.