Task $1$:

Design a circuit the adds two binary bit numbers. The input are the $2$ binary $2-$bit numbers and a

carry$-$in bit.

a$)$ Sketch the block diagram for the circuit

b$)$ Create a truth table for the function

c$)$ Minimize the function using K$-$map

d$)$ Build Logisim circuit

e$)$ Test the Logisim circuit for correctness