[PDF] 4.6 Boolean Expressions For Truth Table





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4.6 Boolean Expressions For Truth Table

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4.6 Boolean Expressions For Truth Table

All Boolean expressions, regardless of their form, can be converted into either of two standard forms: the sum-of-products form or the product-of-sums form. Standardization makes the evaluation, simplification, and implementation of Boolean expressions much more systematic and easier.

4.6.1 The Sum-of-Products (SOP) Form (Minterm)

This form is sometimes called "minterm". A product term that contains each of the n-variables factors in either complemented or uncomplemented form for output digits "1" only, is called SOP. For example for the truth table below:

Input Output

A B C F

The Logical SOP expression for the output digit "1" is written as"

This function com be put in another form such as:

Since F= 1 in rows -quotesdbs_dbs17.pdfusesText_23

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