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LOGIC4_r2

# LOGIC4_r2 - Chapter 4 Minterm and Maxterm Expansion...

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Microwave & Communication Lab. Chapter 4 Minterm and Maxterm Expansion

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Microwave & Communication Lab. § Combinational Network Design Using a Truth Table EX： A B C F F’ 0 0 0 0 1 0 0 1 0 1 A F 0 1 0 0 1 B 0 1 1 1 0 C 1 0 0 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 0
Microwave & Communication Lab. Methed1： Writhing in terms of the 1’s of the function: F = A’BC+AB’C’+AB’C+ABC’+ABC simplify =A+BC Method2： Writing in terms of the 0’s of the function: F’=A’B’C’+A’B’C+A’BC’ simplify =A’B’(C’+C)+A’BC’=A’B’+A’BC’ =A’(BC’+B’) =A’(B’+C’) f = A+BC

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Microwave & Communication Lab. Definition： Normal term： A normal term is a product or sum term in which each variable appears exactly once . EX： ABC’ , A+B’+C Normal terms ABB’C , A+B’+C+C Abnormal terms §Minterm and Maxterm Expansions
Microwave & Communication Lab. Minterm： An n-variable minterm is a normal product term with n literals . There are 2 n such product terms .

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Microwave & Communication Lab. EX： For n=2 x, x, y, y’ (Each literal is a variable or its complement) So, there are 2 2 =4 product terms i.e. , xy , xy’, x’y , x’y’ ( x, xy’y are not minterms) For n=3 A, A’, B , B’, C , C’ So, there are 2 3 =8 product terms ABC, ABC’, A’BC, A’BC’, AB’C, AB’C’, A’B’C , A’B’C ’.
Microwave & Communication Lab. Maxterm： An n-variable maxterm is a normal sum term with n literals .

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