Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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
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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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