Boolean Algebra Flashcards

1
Q

What are the 4 characteristics of a proposition

A
  1. can be evaluated to yield a truth value, i.e., false or true,
  2. must be unambiguous,
  3. can include free variables, and
  4. can be represented using a short-hand variable or function, whereby free variables must be
    bound to concrete arguments before evaluation.
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2
Q

What are the truth table values for: NOT

A
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3
Q

What are the truth table values for: AND

A
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4
Q

What are the truth table values for: OR

A
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5
Q

What are the truth table values for: XOR

A
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6
Q

What are the truth table values for: IMPLICATION

A
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7
Q

What are the truth table values for: LOGICAL EQUIVILANCE

A
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7
Q

What is commutativity for OR / AND

A
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8
Q

What is associativity for OR / AND

A
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8
Q

What is distributivity for OR / AND

A
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8
Q

What is the identity axiom for AND

A
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8
Q

What is the null axiom for AND

A
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8
Q

What is the idempotency axiom for AND

A
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8
Q

What is the inverse axiom for AND

A
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8
Q

What is the identity axiom for OR

A
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8
Q

What is the null axiom for OR

A
8
Q

What is the idempotency axiom for OR

A
8
Q

What is the inverse axiom for OR

A
8
Q

What is the absorbtion law for AND

A
8
Q

What is de Morgan’s law for AND

A
8
Q

What is the absorbtion law for OR

A
9
Q

What is de Morgan’s law for OR

A
9
Q

What is the definition of equivilance in terms of implication

A
9
Q

What is the definition of implication in terms of OR

A
9
Q

What is the double negation axiom

A
9
Q

What is the definition of DNF (sum of products)

A
9
Q

What is the definition for CNF (product of sums)

A
9
Q

What is the definition for XOR in terms of AND and OR

A
9
Q

What is the definition and truth table for NAND

A
9
Q

What is the definiton and truth table for NOR

A
9
Q

How is NAND (or NOR) functionally complete

A