Electronic circuit

Electricity and Magnetism Level 1

A circuit is created by connecting the three logic gates--OR gate, AND gate, NOT gate--with two input voltage lines $A$ and $B,$ as shown.

Which of the following combinations of the inputs $A$ and $B$ will give a high voltage (ON) output?

Details and Assumptions:

An OR gate gives a low voltage output (OFF) only when both of its inputs are low voltages (OFF), and a high voltage(ON) otherwise. On the other hand, an AND gate gives a high voltage output (ON) only when both of its inputs are high voltages (ON), and a low voltage (OFF) otherwise.
A NOT gate toggles the input, which means if the input is a high voltage (ON), the output is a low voltage (OFF), and vice versa.

A = ON, B = ON A = ON, B = OFF A = OFF, B = ON A = OFF, B = OFF

1 solution

Steven Chase
Mar 18, 2018

$\large{Y = (A+B) \bar{B} = A \bar{B} + B \bar{B} = A \bar{B} + 0 = A \bar{B}}$

Therefore, the output is high only when $A$ is high and $B$ is low.