CMOS

a$)$ Construct the truth table for the given circuit above.

b$)$ Give the Boolean equation.

Capture Human Logic

Sally will arrive to class on time if she wakes up on time as well as catches the

bus.

The input events are defined as

W $=1$ means Sally wakes up on time

$B=1$ means Sally misses the bus

a$)$ Define the variable and event for output.

b$)$ Construct the truth table.

c$)$ Give the Boolean equation.

Properties of Boolean Algebra

a$)$ Simplify $x^{\text{'}}{Y}^{\text{'}}+Y{Z}^{\text{'}}+x{Y}^{\text{'}}.$

b$)$ Prove $B+A^{\text{'}}C+A{B}^{\text{'}}=A+B+C$ by using Boolean algebra properties.

c$)$ Use DeMorgan's Law to find the complement of $x{Y}^{\text{'}}+x^{\text{'}}Y.$