FREE CONTRIBUTION CHRONOLOGY · 1937
Logic becomes circuit
Why can an algebraic expression become a physical switching network?
Why can an algebraic expression become a physical switching network?
Shannon mapped relay networks to Boolean algebra, allowing designers to prove that circuits were equivalent, simplify them symbolically, and then rebuild a cheaper mechanism.
A physical system becomes designable when an abstract algebra preserves exactly the behavior engineers need to compose.
Reconstruct the mechanism
- Translate the requirement into a truth table
- Express the table as Boolean operations
- Simplify while preserving every input-output case
- Implement equivalent series, parallel, or universal-gate circuitry
Derive a truth table, simplify the expression, build the relay or NAND circuit, and compare component counts.
Evidence and uncertainty
Boolean equivalence preserves logic but hides timing, noise, energy, fan-out, and manufacturing variation.