Re-do the prime-number-detector minimization example of Figure 3-24, assum- ing "1" is not a prime number. Hint: There are two correct answers. pter 3 Switching Algebra and Combinational Logic a) N3 N₂ N₂ (b) N3 N₁ No 00 01 11 10 N₁ No 00 01 11 10 00 00 9 4 12 N₂ N₁ No 8 No No S 13 1 1 9 86 00 N₁ 1 7 15 11 No 1 1 1 6 14 10 01 11 10 7 3 2 1 01 1 1 1 11 1 1 1 N₁ 10 1 N3 N2 N₁ No N₂ N₁ No N₁₂ F = 2N3,N2,N1 NO(1,2,3,5,7,11,13) N₂ 2 F = N3 No + N3 N2 N1 + N2 N₁ No + N₂ N₁ No N3 No C) N3 Do N₂ N₂ D N₂ N₁ N₁ N₁' N3 N2 N1 N₂ N₁ No N₂- N₁ No EL No No Figure 3-24 Prime-number detector: (a) initial Karnaugh map; (b) circled product terms; (c) minimized circuit. te AND Which CMC
Re-do the prime-number-detector minimization example of Figure 3-24, assum- ing "1" is not a prime number. Hint: There are two correct answers. pter 3 Switching Algebra and Combinational Logic a) N3 N₂ N₂ (b) N3 N₁ No 00 01 11 10 N₁ No 00 01 11 10 00 00 9 4 12 N₂ N₁ No 8 No No S 13 1 1 9 86 00 N₁ 1 7 15 11 No 1 1 1 6 14 10 01 11 10 7 3 2 1 01 1 1 1 11 1 1 1 N₁ 10 1 N3 N2 N₁ No N₂ N₁ No N₁₂ F = 2N3,N2,N1 NO(1,2,3,5,7,11,13) N₂ 2 F = N3 No + N3 N2 N1 + N2 N₁ No + N₂ N₁ No N3 No C) N3 Do N₂ N₂ D N₂ N₁ N₁ N₁' N3 N2 N1 N₂ N₁ No N₂- N₁ No EL No No Figure 3-24 Prime-number detector: (a) initial Karnaugh map; (b) circled product terms; (c) minimized circuit. te AND Which CMC
Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Transcribed Image Text:Re-do the prime-number-detector minimization example of Figure 3-24, assum-
ing "1" is not a prime number. Hint: There are two correct answers.
Transcribed Image Text:pter 3 Switching Algebra and Combinational Logic
a)
N3
N₂ N₂
(b)
N3
N₁ No
00 01 11
10
N₁ No
00 01 11
10
00
00
9
4
12
N₂ N₁ No
8
No No
S
13
1 1
9
86
00
N₁
1
7
15
11
No
1
1
1
6
14
10
01
11
10
7
3
2
1
01
1
1
1
11 1
1
1
N₁
10 1
N3 N2 N₁
No
N₂ N₁ No
N₁₂
F = 2N3,N2,N1 NO(1,2,3,5,7,11,13)
N₂
2
F = N3 No + N3 N2 N1 + N2 N₁ No + N₂ N₁ No
N3 No
C)
N3
Do
N₂
N₂
D
N₂
N₁
N₁
N₁'
N3 N2 N1
N₂ N₁ No
N₂- N₁ No
EL
No
No
Figure 3-24 Prime-number detector: (a) initial Karnaugh map; (b) circled product terms;
(c) minimized circuit.
te
AND
Which
CMC
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