K-map 3-Variable Simulator

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Description

Practice K-map simplification with an interactive 3-variable Karnaugh map. Click cells to set minterms and see groupings for simplification.

Learning Objectives

Bloom Level: Apply (L3)

After using this MicroSim, students will be able to:

  • Apply K-map simplification to 3-variable functions
  • Identify valid groupings (pairs, quads)
  • Derive simplified Boolean expressions

K-map Layout

        BC
      00 01 11 10
A  0 | m0 m1 m3 m2
   1 | m4 m5 m7 m6

Gray code ordering ensures adjacent cells differ by one bit.

Grouping Rules

  • Groups must be powers of 2 (1, 2, 4, 8)
  • Groups must be rectangular
  • Larger groups = simpler terms
  • Groups can wrap around edges

How to Use

  1. Click cells to toggle between 0 and 1
  2. Click "Show Groups" to see valid groupings
  3. Observe the simplified expression
  4. Use "Clear All" or "Fill All" to reset

References