Fun in-class exercise: Write the sum-of-products expression for the expression $E$ represented by the truth table below:
| $x$ | $y$ | $z$ | $E$ |
|---|---|---|---|
| $0$ | $0$ | $0$ | $1$ |
| $0$ | $0$ | $1$ | $1$ |
| $0$ | $1$ | $0$ | $0$ |
| $0$ | $1$ | $1$ | $0$ |
| $1$ | $0$ | $0$ | $1$ |
| $1$ | $0$ | $1$ | $0$ |
| $1$ | $1$ | $0$ | $1$ |
| $1$ | $1$ | $1$ | $1$ |
Reminder: To build the expression, look at the instances when $E$ is true (= equal to $1$.)