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Boolean equations of logic circuits

You can use Boolean algebra as a shorthand notation for digital circuits.

Ex:


Fig. 2-4: Digital circuit

Output of the first gate:

X3 = A + B

Output of the second gate:

X6 = X3 + C = A + B + C

The final output is:

X8 = X6 + D = A + B + C + D = X

HO: Find the Boolean equation for the following circuit.


Fig. 2-5: Logic circuit

Solution:

X = (A + B) (C + D)