Boolean Algebra Calculator

Calculate boolean algebra operations and verify boolean laws with this comprehensive calculator.

Input Variables

Current Values:

A = 1B = 0C = 1

Basic Operations

NOT A:0
NOT B:1
A AND B:0
A OR B:1
A XOR B:1
A NAND B:1
A NOR B:0
A XNOR B:0
A → B (Implies)
0
B → A (Implies)
1
Majority(A,B,C)
1
Parity(A,B,C)
0

Boolean Laws Verification

Commutative (AND):Verified
Commutative (OR):Verified
De Morgan's Law 1:Verified
De Morgan's Law 2:Verified

Boolean Algebra Reference

Basic Operations

  • AND (conjunction): A AND B = A * B
  • OR (disjunction): A OR B = A + B
  • NOT (negation): NOT A = A'
  • XOR (exclusive or): A XOR B

Important Laws

  • De Morgan's: (A*B)' = A' + B'
  • De Morgan's: (A+B)' = A' * B'
  • Distributive: A*(B+C) = A*B + A*C
  • Identity: A*1 = A, A+0 = A