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Which of the following is a minimum sum-of-products expression for function F(a,b,c,d,e) represented by the following K-Map:

Which of the following is a minimum sum-of-products expression for function F(a,b,c,d,e) represented by the following K-Map:

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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**Which of the following is a minimum sum-of-products expression for the function F(a,b,c,d,e) represented by the following K-Map:** **Karnaugh Map:** The K-Map is a 4x4 grid. The cells are organized as follows: - Row labels (cde): 00, 01, 11, 10 - Column labels (ab): 00, 01, 11, 10 **Values in the K-Map:** - (00,00): X - (00,01): 1 - (00,11): 1 - (00,10): 1 - (01,00): 1 - (01,01): X - (01,11): 1 - (01,10): 1 - (11,00): 1 - (11,01): 1 - (11,11): X - (11,10): 1 - (10,00): 1 - (10,01): X - (10,11): 1 - (10,10): 1 **Options:** 1. b’de + ab’d’ + a’bce’ + a’bd’e + bc’de’ 2. b’cde + ab’d’ + a’bc + bc’de’ + b’c’de 3. bc’d’e’ + a’bd + ab’c’ + b’cd’e + bcd’e’ 4. bc’d’e’ + a’bd + ab’c’e + ab’de’ + b’cd’e + bcd’e’ 5. b’de’ + a’bd’ + ab’ce’ + ab’de’ + b’cd’e 6. abd’e’ + a’bd + ab’c’e + ab’c’d + b’cd’e Select the option that provides the minimum sum-of-products expression for the given function based on the K-Map.
Transcribed Image Text:**Which of the following is a minimum sum-of-products expression for the function F(a,b,c,d,e) represented by the following K-Map:** **Karnaugh Map:** The K-Map is a 4x4 grid. The cells are organized as follows: - Row labels (cde): 00, 01, 11, 10 - Column labels (ab): 00, 01, 11, 10 **Values in the K-Map:** - (00,00): X - (00,01): 1 - (00,11): 1 - (00,10): 1 - (01,00): 1 - (01,01): X - (01,11): 1 - (01,10): 1 - (11,00): 1 - (11,01): 1 - (11,11): X - (11,10): 1 - (10,00): 1 - (10,01): X - (10,11): 1 - (10,10): 1 **Options:** 1. b’de + ab’d’ + a’bce’ + a’bd’e + bc’de’ 2. b’cde + ab’d’ + a’bc + bc’de’ + b’c’de 3. bc’d’e’ + a’bd + ab’c’ + b’cd’e + bcd’e’ 4. bc’d’e’ + a’bd + ab’c’e + ab’de’ + b’cd’e + bcd’e’ 5. b’de’ + a’bd’ + ab’ce’ + ab’de’ + b’cd’e 6. abd’e’ + a’bd + ab’c’e + ab’c’d + b’cd’e Select the option that provides the minimum sum-of-products expression for the given function based on the K-Map.
Expert Solution
Step 1

The mapping for 5 variable k map is as shown;

 

Electrical Engineering homework question answer, step 1, image 1

Step 2

Tabulate the chart as given in the question and group the terms,

Electrical Engineering homework question answer, step 2, image 1

The resultant expression is given as;

Electrical Engineering homework question answer, step 2, image 2

 

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