(Solved): 1. Derive the Boolean expressions for the Logic Extender (LE), Arithmetic Extender (AE), and Carry ...

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 $\{s_2$, $s_1,s_0,A,B\}$ and 1 output $x_i,AE4$ inputs $\left\{s_2,s_1,s_0,B\right\}$ and 1 output $y_i$, and CE 3 inputs $\left\{s_2,s_1,s_0\right\}$ and 1 output $c_0$. Show work (min: simplified truth-tables and K-maps)