Here the task is getting a logical circuit from a logical expression. From a given logical expression we can design its logical circuit.

A logical circuit from a logical expression

A logical circuit from a logical expression

X = ĀBC + AC̄ + ĀB̄C


For ĀBC Ā is NOT the output of A. Ā, B and C will go through an AND gate and we got ĀBC.

AC̄ C will go through a NOT gate and after that, it will go through an AND gate with A.

For ĀB̄C Ā is NOT the output of A, B̄  is NOT the output of B. Both will go through in a AND gate.


Finally, these 3 outputs will go through into an OR gate.


And last we got the circuit diagram of X = ĀBC + AC̄ + ĀB̄C 

Logical expression to logical circuit
Know how to get a logical expression from a given logical circuit.