1. Carefully review both signed-number formats, and how to perform the desired
conversion (remember, among other things, that there are two representations of
zero in sign/magnitude!). Produce a truth table listing all possible combinations
of the four input bits $a_3$, $a_2$, $a_1$, $a_0$, along with the four desired outputs $b_3$, $b_2$,
$b_1$, $b_0$, for each input combination.
2. Use the method of truth-table reduction discussed above to derive a 4:1 mux
implementation of your signed-number circuit. You should need at most three
4:1 muxes. You may use any gates you wish at the mux's data inputs (i.e.,
AND, OR, NAND, NOR, XOR, etc.). Arrange that $a_3$ and $a_2$ are the select
inputs on each mux, where $a_3$ is the MSB.
