Design a cembinational circuit with four inputs $x_3,x_2,x_1,x_0$ and three

outputs A$,$ B$,$ C$.x_3,x_2,x_1,x_0$ represents a binary number with $x_0$

representing the lowest significant $($right most$)$ bit and $x_3$ being the highest $($left

most$)$ bit. A will be true when the input is even. B will be true when the input is a

$((($prime number greater than $2)$ or $15)$ and not $11).$ C will be true when the input

is divisible by $4($zero is divisible as well$).$

a$.$ Give the reduced algebraic equations for $A,B,$ and C using K$-$Maps.

b$.$ Draw the circuit in Digital. The inputs and outputs should be labeled in Digital.

You may use multi input and$/$or gates, however, no bus lines yet.