Question

बूलियन बीजगणित के स्वयंसिद्ध नियम क्या होते हैं? ये कौन-कौन से हैं?

Answer 1

A + 1 = 1 A in parallel with

closed = "CLOSED" universal parallel circuit Annulment

A + 0 = A A in parallel with

open = "A" universal parallel Identity

A . 1 = A A in series with

closed = "A" universal series circuit Identity

A . 0 = 0 A in series with

open = "OPEN" universal series Annulment

A + A = A A in parallel with

A = "A" idempotent parallel circuit Idempotent

A . A = A A in series with

A = "A" idempotent series circuit Idempotent

NOT A = A NOT NOT A

(double negative) = "A" Double Negation

A + A = 1 A in parallel with

NOT A = "CLOSED" complement parallel circuit Complement

A . A = 0 A in series with

NOT A = "OPEN" complement series circuit Complement

A+B = B+A A in parallel with B =

B in parallel with A absorption parallel circuit Commutative

A.B = B.A A in series with B =

B in series with A absorption series circuit Commutative

A+B = A.B invert and replace OR with AND de Morgan’s Theorem

A.B = A+B invert and replace AND with OR de Morgan’s Theorem