Question

6. Find Boolean equation and Truth table for given circuit. ​

Answer 1

Answer:

((A+B) +(A. B)) '

Explanation:

+ is for AND

- is for OR

' is for NOT

Answer 2

Concept:

An expression that evaluates to either true or false is known as a boolean expression.

GIven:

The circuit is given in the diagram.

Find:

Find Boolean equation and Truth table for the given circuit. ​

Solution:

AND gate is represented by $Y=A.B$

OR gate is represented by $Y=A+B$

NOT gate is represented by $Y=(A+B)'$

In the given diagram AND gate will give $A.B$ and OR gate will give $A+B$

Let the output of first or gate be Y1 and first and gate be Y2.

$Y1=A+B\\Y2=A.B$

Result of Y1 and Y2 OR gate will be $Y=(A+B)+(A.B)$

Final OR gate will be represented by $Y=((A+B)+(A.B))'$

∴ $Y=((A+B)+(A.B))'$

The truth table will be represented as follows