Complete the truth table to show all the different combinations possible in the circuit in Figure 9. Indicate a "0" for an off position, and "1" for an on or closed position.

The circuit shows two switches, A and B, connected in series with a lamp and a battery. For the lamp to light up (output = 1), both switches A and B must be closed (on position = 1). If either switch is open (off position = 0), the circuit is broken, and the lamp will not light up (output = 0).

There are four possible combinations for two switches:

• Both switches open (A=0, B=0)
• Switch A open, Switch B closed (A=0, B=1)
• Switch A closed, Switch B open (A=1, B=0)
• Both switches closed (A=1, B=1)

Let's determine the output for each:

• If Input A = 0 and Input B = 0: Both switches are open, so the lamp is off. Output = 0.
• If Input A = 0 and Input B = 1: Switch A is open, so the lamp is off. Output = 0.
• If Input A = 1 and Input B = 0: Switch B is open, so the lamp is off. Output = 0.
• If Input A = 1 and Input B = 1: Both switches are closed, so the lamp is on. Output = 1.

Here is the completed truth table: