Using Karnaugh Maps

Karnaugh maps are a tool used to simplify complex Boolean expressions. To do so you will need to be able to

  1. Complete a Karnaugh Map for a given Boolean Expression or a given Truth Table.
  2. Identify the main blocks of 1, 2, 4, 8 or 16 consecutive 1s.
  3. Use these blocks to write down the Simplified Boolean Expression for your Karnaugh Map.

The following slideshow gives examples of how blocks can be identified on different Karnaugh Maps:

Your Task

Use a Karnaugh Map with 4 inputs to simplify each of the following Boolean expressions:
Click on the Boolean Expressions below to open our online Karnaugh Map tool






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