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Insights into Mathematics | Sums of products, or products of sums? Neither! | MathFoundations 267 | N J Wildberger @njwildberger | Uploaded 4 years ago | Updated 8 hours ago
In electrical engineering courses, Boolean functions are described by Boolean expressions, which are however not unique. One approach is to use a sum of products. Another is to look for a product of sums. Going from one to the other is usually onerous. With the Algebra of Boole, neither of these is the preferred outcome!

We would much rather just obtain the canonical Boole polynumber, which is unique, for a given Boolean function. In this video we show how to move from the awkward Boolean algebra expression to the conceptually simpler Boole polynumber. Along the way we learn some useful algebraic tricks.

Video Content:
00:00 Introduction
3:36 Sum of products transformation rule
9:49 Products of sums are difficult


Here are the Insights into Mathematics Playlists:

youtube.com/playlist?list=PL55C7C83781CF4316
youtube.com/playlist?list=PL3C58498718451C47
youtube.com/playlist?list=PL5A714C94D40392AB
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Here are the Wild Egg Maths Playlists (some available only to Members!)

youtube.com/playlist?list=PLzdiPTrEWyz4rKFN541wFKvKPSg5Ea6XB
youtube.com/playlist?list=PLzdiPTrEWyz4VlOppC5CN0D0GjrjvBGKy
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youtube.com/playlist?list=PLzdiPTrEWyz4IknbwXMEVwxOWS3z1Ch3C
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Sums of products, or products of sums? Neither! | MathFoundations 267 | N J Wildberger @njwildberger

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