COE202lesson8 - STANDARD AND CANONICAL FORMS CLASS...

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STANDARD AND CANONICAL FORMS CLASS NOTES (LESSON 8) CHAPTER OBJECTIVES Learn Binary Logic and BOOLEAN AlgebraLearn How to Map a Boolean Expression into Logic Circuit Implementation Learn How To Manipulate Boolean Expressions and Simplify ThemLesson OjectivesLearn how to derive a Boolean expression of a function defined by its truth table. The derived expressions may be in one of two possible standard forms: The Sum of Min-terms or the Product of Max-Terms. 2. Learn how to map these expressions into logic circuit implementations (2-Level Implementations). MinTerms Consider a system of 3 input signals (variables) x, y, & z. A term which ANDs all input variables, either in the true or complement form, is called a minterm. Thus, the considered 3-input system has 8 minterms Each minterm equals 1 at exactly one particular input combination and is equal to 0 at all other combinations Thus, for example, x y z is always equal to 0 except for the input combination xyz = 000, where it is equal to 1. Accordingly, the minterm x y z is referred to as m0. In general, minterms are designated mi, where i corresponds the input combination at which this minterm is equal to 1.
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  • Fall '13
  • Sait
  • Logic, Boolean Algebra, input combinations, Canonical form, input combination

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