SOL Prep

Logical Reasoning

Virginia SOL DM.LR.3

Apply Boolean algebra to represent and analyze logical gates and circuits.

Study DM.LR.3 with SOL PrepBack to Discrete Mathematics

What students need to be able to do

  • Explain basic properties of Boolean algebra: duality, complements, and standard forms.
  • Represent verbal statements as Boolean expressions.
  • Apply Boolean algebra to prove identities and simplify expressions.
  • Generate truth tables encoding the truth and falsity of two or more statements.
  • Explain the operation of discrete logic gates.
  • Describe the relationship between Boolean algebra and electronic circuits.
  • Analyze a combinational network using Boolean expressions.
  • Design simple combinational networks using NAND, NOR, and XOR gates.