Question

Consider a bulb with three switches x, y and z. Write the Boolean expression representing the following states. 

1. All the switches x, y and z are ON 

2. x is ON and y is OFF or Z is OFF 

3. Exactly one switch is ON.

Answer 1

1. xy . z 

2. x\(\bar y\) + \(\bar z\)

3. x. \(\bar y. \bar z + \bar x.y.\bar z + \bar x. \bar y. \bar z\)