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The '''sum of products''' canonical form of boolean equation is used with truth tables and [[karnaugh map|K maps]] to easily describe and minimize circuits.
The '''sum of products''' canonical form of boolean equation is used with truth tables and [[karnaugh map|K maps]] to easily describe and minimize circuits.
SOP consists of many product terms added together, hence sum of products. It has two levels of logic: literals connect to a level of AND gates, which are then connected to a level of OR gates.


= Procedure with truth table =
= Procedure with truth table =

Latest revision as of 22:57, 9 May 2024

The sum of products canonical form of boolean equation is used with truth tables and K maps to easily describe and minimize circuits.

SOP consists of many product terms added together, hence sum of products. It has two levels of logic: literals connect to a level of AND gates, which are then connected to a level of OR gates.

Procedure with truth table

First, make a truth table for an output Y. Then, for every row where Y = 1, write out the minterm of that row. Finally, add all minterms together to form a complete boolean equation for the variable.