For the given functions F1(a,b,c,d), F2(a,b,c,d), and F3(a,b,c,d) represented by the following K-Maps: F1 F2 F3 ab cd ab ab cd cd 11 1 1 1 1 1 1 1 1 1 1 1 1 1 , which of the following configurations of 4-to-1 multiplexer with control inputs c and d, realizes the function F2: 1.
For the given functions F1(a,b,c,d), F2(a,b,c,d), and F3(a,b,c,d) represented by the following K-Maps: F1 F2 F3 ab cd ab ab cd cd 11 1 1 1 1 1 1 1 1 1 1 1 1 1 , which of the following configurations of 4-to-1 multiplexer with control inputs c and d, realizes the function F2: 1.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:For the given functions F1(a,b,c,d), F2(a,b,c,d), and F3(a,b,c,d) represented by the following K-Maps:
**K-Map for F1:**
The K-Map for F1 is a 2x2 grid with rows labeled by "cd" and columns by "ab":
- Row "cd" = 00: (1, 1)
- Row "cd" = 01: (1, -)
- Row "cd" = 10: (1, 1)
- Row "cd" = 11: (1, 1)
**K-Map for F2:**
The K-Map for F2 is a 2x2 grid with rows labeled by "cd" and columns by "ab":
- Row "cd" = 00: (1, 1)
- Row "cd" = 01: (1, -)
- Row "cd" = 10: (1, -)
- Row "cd" = 11: (1, 1)
**K-Map for F3:**
The K-Map for F3 is a 2x2 grid with rows labeled by "cd" and columns by "ab":
- Row "cd" = 00: (-, 1)
- Row "cd" = 01: (1, -)
- Row "cd" = 10: (-, 1)
- Row "cd" = 11: (1, 1)
The problem asks which of the following configurations of a 4-to-1 multiplexer with control inputs c and d realizes the function F2:
1. \( I_0 = d \)
\( I_1 = 0 \)
\( I_2 = d' \)
\( I_3 = d' \)
2. \( I_0 = 1 \)
\( I_1 = d' \)
\( I_2 = cd \)
\( I_3 = cd \)
3. \( I_0 = a \)
\( I_1 = a'b' \)
\( I_2 = a'b' \)
\( I_3 = 1 \)
4. \( I_0 = a \)
\( I_1 = a'b' \)
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