R
Rishtaara
Discrete Mathematics
Lesson 8 of 11Article14 min

Boolean Algebra & Logic Circuits

AND, OR, NOT form a Boolean algebra. Truth tables, algebraic simplification, and gate diagrams are three views of the same function.

Bits as algebra

AND, OR, NOT form a Boolean algebra. Truth tables, algebraic simplification, and gate diagrams are three views of the same function.

  • Sum-of-products from truth tables; minimise with Karnaugh maps (small cases).
  • NAND/NOR are functionally complete alone.