Find an expression for each of these outputs, while minimizing the overall total number of gates. Count the total number of gates. You can assume that all inputs are available in positive and negated forms. You can assume that multi-input gates count as 1 gate each. ab 00 01 11 10 ab 00 cd 01 11 10 ab 00 01 11 10 cd cd 00 1 00 1 00 01 01 1 01 1 1 11 1 1 1 1 11 1 1 11 1 1 1 10 10 1 1 10 F1 F2 F3
Find an expression for each of these outputs, while minimizing the overall total number of gates. Count the total number of gates. You can assume that all inputs are available in positive and negated forms. You can assume that multi-input gates count as 1 gate each. ab 00 01 11 10 ab 00 cd 01 11 10 ab 00 01 11 10 cd cd 00 1 00 1 00 01 01 1 01 1 1 11 1 1 1 1 11 1 1 11 1 1 1 10 10 1 1 10 F1 F2 F3
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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please include an explanation !
![Find an expression for each of these outputs, while minimizing the overall total number of gates. Count
the total number of gates. You can assume that all inputs are available in positive and negated forms.
You can assume that multi-input gates count as 1 gate each.
ab
00
ab
00
ab
00
01
11
10
01
11
10
01
11
10
cd
cd
cd
00
1
00
1
00
01
1
01
1
01
1
11
1
1
1
1
11
1
1
11
1
1
1
10
10
1
1
10
F1
F2
F3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb18ac0ef-4d84-42fd-9d44-00456e05defd%2Fc305e3c1-dbd9-4f0a-958c-21e1141aab86%2Fm6ucte_processed.png&w=3840&q=75)
Transcribed Image Text:Find an expression for each of these outputs, while minimizing the overall total number of gates. Count
the total number of gates. You can assume that all inputs are available in positive and negated forms.
You can assume that multi-input gates count as 1 gate each.
ab
00
ab
00
ab
00
01
11
10
01
11
10
01
11
10
cd
cd
cd
00
1
00
1
00
01
1
01
1
01
1
11
1
1
1
1
11
1
1
11
1
1
1
10
10
1
1
10
F1
F2
F3
![Using K-Maps, identify hazards in the expression:
f(a, b, c, d) = (a + d')(b' + c + d)(a' + c' + d')(b' + c + d)
Create an equivalent expression that is free of hazards.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb18ac0ef-4d84-42fd-9d44-00456e05defd%2Fc305e3c1-dbd9-4f0a-958c-21e1141aab86%2Fienz0i6_processed.png&w=3840&q=75)
Transcribed Image Text:Using K-Maps, identify hazards in the expression:
f(a, b, c, d) = (a + d')(b' + c + d)(a' + c' + d')(b' + c + d)
Create an equivalent expression that is free of hazards.
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