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Simplify to POS and expand to canonical POS (product of maxterms).   f(x,y,z) = xy+x’z   Simplify to SOP form   ((w’+x’)y+z)’+wxz xwz’+y’z’+wxz   Simplify the following Boolean functions using K-MAP: a) F(A, B, C, D) = ∑ (1, 4, 5, 6, 12, 14, 15)  b) F(W, X, Y, Z) = ∑ (0, 1, 2, 4, 5, 7, 11, 15)

Simplify to POS and expand to canonical POS (product of maxterms).   f(x,y,z) = xy+x’z   Simplify to SOP form   ((w’+x’)y+z)’+wxz xwz’+y’z’+wxz   Simplify the following Boolean functions using K-MAP: a) F(A, B, C, D) = ∑ (1, 4, 5, 6, 12, 14, 15)  b) F(W, X, Y, Z) = ∑ (0, 1, 2, 4, 5, 7, 11, 15)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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  • Simplify to POS and expand to canonical POS (product of maxterms).  
  • f(x,y,z) = xy+x’z  
  • Simplify to SOP form  
  • ((w’+x’)y+z)’+wxz
  • xwz’+y’z’+wxz

 

Simplify the following Boolean functions using K-MAP:

  1. a) F(A, B, C, D) = ∑ (1, 4, 5, 6, 12, 14, 15) 
  2. b) F(W, X, Y, Z) = ∑ (0, 1, 2, 4, 5, 7, 11, 15)
  3. c) F(A, B, X, D) = ∑ (2, 3, 10, 11, 12, 13, 14, 15) 
  4. d) F(A, B, C, D) = ∑ (0, 2, 4, 5, 6, 7, 8, 10, 13, 15)
  5. e) A′B + BC′ + B′C′ 
  6. f) X′Y′ + YZ + X′YZ′

 

Simplify the following expressions in

  1. A) sum of the products
  2. B) products of sums
  3. a) A′C′ + B′C′ + BC′ + AB;
  4. b) AC′ + B′D + A′CD + ABCD; 

 

  1. c) (A′ + B′ + D′) (A + B′ + C′) (A′+ B + D′)(B+ C′ + D′)
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