Logic Circuit to Expression Converter
Convert logic circuit diagrams to Boolean expressions and analyze gate structures
About Circuit to Expression Conversion
Circuit to expression conversion is the reverse process of circuit design, where you analyze an existing logic circuit and derive its Boolean expression. This is essential for:
- Circuit Analysis: Understanding what a circuit does
- Documentation: Creating mathematical descriptions
- Optimization: Finding equivalent simpler expressions
- Verification: Confirming circuit behavior
How It Works
- Identify Gates: Catalog all logic gates in the circuit
- Trace Connections: Follow signal paths from inputs to outputs
- Build Expression: Construct Boolean expression following signal flow
- Apply Precedence: Use parentheses to show operation order
Circuit Description Examples
Simple AND Gate
A: INPUT B: INPUT AND1: AND OUT: OUTPUT A -> AND1 B -> AND1 AND1 -> OUT
Result: A AND B
Complex Circuit
A: INPUT B: INPUT C: INPUT NOT1: NOT OR1: OR AND1: AND OUT: OUTPUT C -> NOT1 B -> OR1 NOT1 -> OR1 A -> AND1 OR1 -> AND1 AND1 -> OUT
Result: A AND (B OR NOT C)
Applications
Circuit Analysis
Understand existing circuits and their logical behavior
Reverse Engineering
Extract functionality from circuit diagrams
Documentation
Create mathematical descriptions of circuits
Tips for Circuit Description
Format Guidelines
- • Use "GateName: GateType" format
- • Supported types: INPUT, OUTPUT, AND, OR, NOT
- • Use "Source -> Destination" for connections
- • One gate or connection per line
Best Practices
- • Define all gates before connections
- • Use descriptive gate names
- • Trace signal flow from inputs to outputs
- • Verify all connections are specified