^ or .
Conjunction (AND)
v or +
Disjunction (OR)
¬ A or ~A or Ā
Negation (NOT)
→
Implication (IF)
↔ or ≡
Biconditional equivalence (Equality)
V̲ or ⊕
Exclusive or (XOR)
¬¬A ↔ A
Double negation
T ^ (PvQ) ↔ (T^P)v(T^Q)
Distribution
¬(P v Q) ↔ ¬P ^ ¬Q
¬(P ^ Q) ↔ ¬P v ¬Q
De Morgan’s law
Rules of k-maps
Can only group in 1,2,4,8,16,32…(binary headers)
Can only group horizontally and vertically (not diagonal)
Can group in rows, boxes and can wrap around
Groups can overlap
PvQ ↔ QvP
Commutation
Av(BvC) ↔ (AvB)vC
Association