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The procedure for obtaining a minimized function in product-of-sums form follows from the basic properties of Boolean functions. The 1's placed in the squares of the map represent the minterms of the function. The minterms not included in the standard sum-of-products form of a function denote the complement of the function. Simplify the following Boolean function F (A, B, C, D) = (0, 1, 2, 5, 8, 9, 10) into: (a) sum-of-products form SOP and (b) product-of-sums POS form CD ABC A 00 01 11 10 00 01 D 11 10 B

The procedure for obtaining a minimized function in product-of-sums form follows from the basic properties of Boolean functions. The 1's placed in the squares of the map represent the minterms of the function. The minterms not included in the standard sum-of-products form of a function denote the complement of the function. Simplify the following Boolean function F (A, B, C, D) = (0, 1, 2, 5, 8, 9, 10) into: (a) sum-of-products form SOP and (b) product-of-sums POS form CD ABC A 00 01 11 10 00 01 D 11 10 B

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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PRODUCT-OF-SUMS SIMPLIFICATION The procedure for obtaining a minimized function in product-of-sums form follows from the basic properties of Boolean functions. The 1's placed in the squares of the map represent the minterms of the function. The minterms not included in the standard sum-of-products form of a function denote the complement of the function. Simplify the following Boolean function F (A, B, C, D) = (0, 1, 2, 5, 8, 9, 10) into: (a) sum-of-products form SOP and (b) product-of-sums POS form AB A CD 00 01 11 10 00 01 D 11 10 B
Transcribed Image Text:PRODUCT-OF-SUMS SIMPLIFICATION The procedure for obtaining a minimized function in product-of-sums form follows from the basic properties of Boolean functions. The 1's placed in the squares of the map represent the minterms of the function. The minterms not included in the standard sum-of-products form of a function denote the complement of the function. Simplify the following Boolean function F (A, B, C, D) = (0, 1, 2, 5, 8, 9, 10) into: (a) sum-of-products form SOP and (b) product-of-sums POS form AB A CD 00 01 11 10 00 01 D 11 10 B
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