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Boolean Algebra
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Total cards: 7•Content version: v3•Public deck•Updated: 8/1/2026
Card preview (7)
#1
Front (Question)
Identity Law
Back (Answer)
Keeps the variable unchanged when combined with neutral elements: A + 0 = A, A ⋅ 1 = A
#2
Front (Question)
Null Law
Back (Answer)
Combining with dominant elements gives the extreme result: A + 1 = 1, A ⋅ 0 = 0
#3
Front (Question)
Idempotent Law
Back (Answer)
A variable combined with itself gives the same result: A + A = A, A ⋅ A = A
#4
Front (Question)
Complement Law
Back (Answer)
A variable ORed/ANDed with its complement gives totality or null: A + ¬A = 1, A ⋅ ¬A = 0
#5
Front (Question)
Distributive Law
Back (Answer)
AND distributes over OR and vice versa: A ⋅ (B + C) = (A ⋅ B) + (A ⋅ C), A + (B ⋅ C) = (A + B) ⋅ (A + C)
#6
Front (Question)
De Morgan’s Theorem
Back (Answer)
Rules for negating groups: ¬(A ⋅ B) = ¬A + ¬B, ¬(A + B) = ¬A ⋅ ¬B
#7
Front (Question)
Absorption Law
Back (Answer)
Simplifies redundant expressions by absorbing terms: A + (A ⋅ B) = A, A ⋅ (A + B) = A