Boolean Algebra Simplifier
Simplify Logic Expressions
Simplify boolean algebra expressions using laws and theorems with step-by-step solutions.
Boolean Expression
Use: A-Z (variables), · (AND), + (OR), ! (NOT), () (parentheses)
Notation Guide
· = AND operation (multiplication)
+ = OR operation (addition)
! = NOT operation (negation)
Variables: Use uppercase letters (A, B, C, etc.)
Boolean Laws
Identity:
A+0=A, A·1=A
Null:
A+1=1, A·0=0
Idempotent:
A+A=A, A·A=A
Complement:
A+!A=1, A·!A=0
De Morgan's:
!(A+B)=!A·!B
!(A·B)=!A+!B
Absorption:
A+A·B=A
A·(A+B)=A
Features
- Step-by-step simplification
- Truth table generation
- Multiple boolean laws applied
- Variable extraction
- Expression evaluation
- Quick examples
- Copy simplified result
Applications
- Digital circuit design
- Logic gate optimization
- Computer architecture
- Programming logic
- Database query optimization
- Artificial intelligence
- Control systems
- Hardware description languages
Tips
Simplification Benefits:
- Reduces circuit complexity
- Minimizes gate count
- Improves performance
- Reduces power consumption
- Easier to understand logic
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