Expressions to Circuits

Creating a logical circuit from an expression is not so difficult. Instead it's a little tricky. The following rules can be followed to create a circuit from an expression.

• Draw vertical lines for every variable that is there in the expression.
• Branch invert vertical lines from the original vertical lines for all those variables that have been used in inverted form.
• Now for each single term in the expression branch horizontal lines from the vertical lines and connect appropriate gate.

See the following example:
Expression is: (A'B'C + A'BC' + AB'C + A'BC)

Here, First AND gate takes horizontal connections from A', B' & C
Similarly Second AND gate takes horizontal connections from A', B & C'
Third AND gate takes horizontal connections from A, B' & C
The forth AND gate takes horizontal connections from A', B & C
Finally Outputs of all four AND gates pass throuth an OR gate showing SUM of all Product Terms.