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Flashcards

Simplifying Boolean Expressions | Boolean Algebra - OCR Computer Science A Level

Malachy Moran-Tun Computer Science A level Inglês 8 flashcards

Flashcards do conjunto (8)

  1. 1What's the Benefit of Simplifying Boolean Expressions?> Uses less components
    > More reliable
    > Faster
    > Generates less heat
    > Cheaper
  2. 2*sigh*... What are the General Rules of Boolean Algebra? (8 of them)1. X ∧ 0 = 0
    2. X ∧ 1 = 1
    3. X ∧ X = X
    4. X ∧ ¬X = 0
    5. X ∨ 0 = X
    6. X ∨ 1 = 1
    7. X ∨ X = X
    8. X ∨ ¬1 = 1
  3. 3What are the Commutative Rules of Boolean Algebra? (yes they are REALLY obvious)1. X ∧ Y = Y ∧ X
    2. X ∨ Y = Y ∨ X
  4. 4What are the Associative Rules of Boolean Algebra?1. X ∧ (Y ∧ Z) = (X ∧ Y) ∧ Z
    2. X ∨ (Y ∨ Z) = (X ∨ Y) ∨ Z
  5. 5What are the Distributive Rules of Boolean Algebra? (yes they're really damn long)1. (X ∧ Y) ∨ (X ∧ Z) = X ∧ (Y ∨ Z)
    2. oh god... (X ∨ Y) ∧ (W ∨ Z) =
    (X ∧ W) ∨ (X ∧ Z) ∨ (Y ∧ W) ∨ (Y ∧ Z) :(
  6. 6What are the Absorption Rules of Boolean Algebra?1. X ∨ (X ∧ Y) = X
    2. X ∧ (X ∨ Y) = X
  7. 7What is the Extremely Obvious, Hopefully Logically Oblivious, Extraordinarily Clear Double Negation Rule of Boolean Algebra?1. X = ¬¬X
  8. 8What are de Morgan's Laws of Boolean Algebra?1. ¬(A ∧ B) = ¬A ∨ ¬B
    2. ¬(A ∨ B) = ¬A ∧ ¬B

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A level Computer Science (Boolean Algebra) FlashCards sobre Simplifying Boolean Expressions | Boolean Algebra - OCR Computer Science A Level, criado por Malachy Moran-Tun em 02-12-2021.
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