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Test 3: Boolean Algebra

Week: 10
Coverage: Weeks 8-10
Duration: 90 minutes

Topics Covered

  • Boolean functions and truth tables
  • Normal forms (DNF, CNF)
  • Logic gates and circuits
  • Karnaugh maps
  • Boolean simplification
  • Functional completeness

Sample Problem Types

  1. Truth tables: Construct table for given formula
  2. Normal forms: Convert expression to DNF/CNF
  3. Simplification: Simplify using Boolean laws
  4. Circuits: Design circuit for given function
  5. K-maps: Use K-map to minimize function
  6. Completeness: Prove set is functionally complete

Key Skills

  • Truth table construction
  • Normal form conversions
  • Expression simplification
  • Circuit design
  • K-map technique
  • Understanding completeness

Preparation

  • Review Lecture 5 notes
  • Rework Homework 3 problems
  • Practice K-maps (2-4 variables)
  • Review Boolean laws