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• 6.7 Show how to build each of the following logic functions using one or more 74x138 binary decoders and NAND gates. (Hint: Each realization should be equivalent to a sum of minterms.) • (a) F = E X , Y,Z(2,5,7) o (b) F = II A , B ,C (2,4,5,6,7) o (c) F = E A , B,C,D(0,6,10, 14 ) o (d) F = E W , X , Y , Z (1,4,5,6,11, 12 , 13 , 15 )

• 6.7 Show how to build each of the following logic functions using one or more 74x138 binary decoders and NAND gates. (Hint: Each realization should be equivalent to a sum of minterms.) • (a) F = E X , Y,Z(2,5,7) o (b) F = II A , B ,C (2,4,5,6,7) o (c) F = E A , B,C,D(0,6,10, 14 ) o (d) F = E W , X , Y , Z (1,4,5,6,11, 12 , 13 , 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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I only need a) and f) thanks. 

### Boolean Function Representation #### Example (e) - **Function F** is expressed with variables W, X, Y, Z and the minterm indices {0, 2, 4, 7}: - \( F = \Sigma W, X, Y, Z (0, 2, 4, 7) \) - **Function G** is expressed with variables W, X, Y and the minterm indices {1, 2, 3, 5}: - \( G = \Sigma W, X, Y (1, 2, 3, 5) \) #### Example (f) - **Function F** is expressed with variables A, B, C, D and the minterm indices {8, 11, 12, 15}: - \( F = \Sigma A, B, C, D (8, 11, 12, 15) \) These expressions represent Boolean functions using sum of minterms notation, where each number in the parentheses corresponds to a binary combination of input variables that makes the function true (1).
Transcribed Image Text:### Boolean Function Representation #### Example (e) - **Function F** is expressed with variables W, X, Y, Z and the minterm indices {0, 2, 4, 7}: - \( F = \Sigma W, X, Y, Z (0, 2, 4, 7) \) - **Function G** is expressed with variables W, X, Y and the minterm indices {1, 2, 3, 5}: - \( G = \Sigma W, X, Y (1, 2, 3, 5) \) #### Example (f) - **Function F** is expressed with variables A, B, C, D and the minterm indices {8, 11, 12, 15}: - \( F = \Sigma A, B, C, D (8, 11, 12, 15) \) These expressions represent Boolean functions using sum of minterms notation, where each number in the parentheses corresponds to a binary combination of input variables that makes the function true (1).
6.7 Show how to build each of the following logic functions using one or more 74x138 binary decoders and NAND gates. (*Hint: Each realization should be equivalent to a sum of minterms.*) - **(a)** \( F = \Sigma X, Y, Z (2, 5, 7) \) - **(b)** \( F = \Pi A, B, C (2, 4, 5, 6, 7) \) - **(c)** \( F = \Sigma A, B, C, D (0, 6, 10, 14) \) - **(d)** \( F = \Sigma W, X, Y, Z (1, 4, 5, 6, 11, 12, 13, 15) \)
Transcribed Image Text:6.7 Show how to build each of the following logic functions using one or more 74x138 binary decoders and NAND gates. (*Hint: Each realization should be equivalent to a sum of minterms.*) - **(a)** \( F = \Sigma X, Y, Z (2, 5, 7) \) - **(b)** \( F = \Pi A, B, C (2, 4, 5, 6, 7) \) - **(c)** \( F = \Sigma A, B, C, D (0, 6, 10, 14) \) - **(d)** \( F = \Sigma W, X, Y, Z (1, 4, 5, 6, 11, 12, 13, 15) \)
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