Question 1

What is boolean algebra?

Accepted Answer

Boolean algebra is a branch of algebra where variables can only take two values: true (1) or false (0). It uses logical operations AND, OR, NOT, XOR, NAND, and NOR to analyze digital logic circuits and computer programs.

Question 2

How do I write a boolean expression?

Accepted Answer

Use variable names A, B, C, D and operators: AND (conjunction), OR (disjunction), NOT (negation), XOR (exclusive or), NAND, NOR. Use parentheses for grouping. Example: A AND (B OR NOT C).

Question 3

What is a truth table?

Accepted Answer

A truth table lists all possible combinations of input values and the corresponding output for a boolean expression. For n variables, there are 2^n rows. It is the definitive way to verify boolean logic.

Question 4

What is Sum of Products (SOP)?

Accepted Answer

Sum of Products is a canonical form of a boolean expression where the expression is a sum (OR) of product (AND) terms. Each product term contains all variables (either complemented or uncomplemented). It is used in digital circuit design.

Question 5

What is the maximum number of variables?

Accepted Answer

This tool supports up to 4 variables (A, B, C, D). With 4 variables, the truth table has 2^4 = 16 rows. Supporting more variables would create very large tables, though you can extend the logic manually.

Boolean Algebra Simplifier

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