# cp1_lect_7 - Canonical Logic Forms Structured logic is...

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5/10/10 Canonical Logic Forms Structured logic is Boolean equations written with various types of regular and repeated forms. Useful starting point in the analysis of equations Two common types of structured forms: Sum-of-products (SOP) Product-of-sums (POS) Any logic function can be expressed in SOP or

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5/10/10 miniterms Each possible set of input values is called a miniterm Example: for a function with three inputs, x, y, z, there are 8 miniterms: x’y’z’ x’y’z x’yz’ x’yz xy’z’ xy’z
5/10/10 Sum of products (SOP) Any function can be expressed as the logical OR of all miniterms for which its value is true . The miniterms are the appropriate values ANDed together. This indicates when the miniterm is present Example x = 0, y = 1, z = 0 This case occurs when x y z = 1

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5/10/10 Sum of products (SOP) Example: the last function (xy’ + yz)’ is true when: X Y Z Y’ XY’ YZ XY’+YZ (XY’+YZ) 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 0 1 1 0 Miniterm: x’y’z’ Miniterm: x’y’z Miniterm: x’yz’ Miniterm: xyz’
5/10/10 Sum of products (SOP) Any function can be expressed as the logical OR of all miniterms for which its

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## This note was uploaded on 05/07/2010 for the course CS&IS TA C162 taught by Professor Kavitha during the Winter '09 term at Birla Institute of Technology & Science.

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cp1_lect_7 - Canonical Logic Forms Structured logic is...

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