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# Boolean Algebra Calculator

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Boolean algebra gives a set of rules ,basically logic used in algebra, known as propositions. They may be TRUE or FALSE, denoted as 0 and 1. These propositions are connected by there basic logical connectives, .i.e, AND, OR and NOT. This online Boolean algebra calculator calculates the truth table and logic circuit of the statement. This calculator also simplify and reduces the Boolean expression into simpler form. Truth table for all logical prepositions are shown below.

 i j i $\wedge$ j i$\vee$j i$\rightarrow$j i$\leftrightarrow$j 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 0

 i ~i 0 1 1 0

## Steps

Step 1 : Break the given statement into two parts to make it simple.

Step 2 : Create the truth table using the logical prepositions table.

## Problems

Below are the problems based on boolean algebra.

### Solved Examples

Question 1:
Create truth table for the following statement :
X AND Y OR X OR Z

Solution:
Given statement : X AND Y OR X OR Z

Using logical prepositions, the truth table of following statement is,
 X Y Z (X $\wedge$ Y) $\vee$ X $\vee$ Z 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 1

Question 2: Draw logic circuit for A AND B OR A NAND C.
Solution:
Given statement : A AND B OR A NAND C

Logic circuit for the given statement is,