4. [15 pts] A logic function F of four variables a; b; c; d is described by the following K-map. Derive the fully minimized SOP logic expression form of F. cd\ab 00 01 11 10 00 0 0 0 1 01 1 0 0 1 11 1 0 1 1 10 0 0 1 1 5. [15 pts] Simplify the following expressions by means of a four-variable K-Map. AD + BD + BC + ABD 1.[30 pts] Answer the following questions: a. [10 pts] Write a Boolean equation in sum-of-products canonical form for the truth table shown below: A B C Y 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0 a. [10 pts] Minimize the Boolean equation you obtained in (a). b. [10 pts] Implement, using Logisim, the simplified logic circuit. Include an image of the circuit in your report. 2. [20 pts] Student A B will enjoy his picnic on sunny days that have no ants. He will also enjoy his picnic any day he sees a hummingbird, as well as on days where there are ants and ladybugs. a. Write a Boolean equation for his enjoyment (E) in terms of sun (S), ants (A), hummingbirds (H), and ladybugs (L). b. Implement in Logisim, the logic circuit of E function. Use the Circuit Analysis tool in Logisim to view the expression, include an image of the expression generated by Logisim in your report. 3.[20 pts] Find the minimum equivalent circuit for the one shown below (show your work): DAB C f(A,B,C,D)
4. [15 pts] A logic function F of four variables a; b; c; d is described by the following K-map. Derive the fully minimized SOP logic expression form of F. cd\ab 00 01 11 10 00 0 0 0 1 01 1 0 0 1 11 1 0 1 1 10 0 0 1 1 5. [15 pts] Simplify the following expressions by means of a four-variable K-Map. AD + BD + BC + ABD 1.[30 pts] Answer the following questions: a. [10 pts] Write a Boolean equation in sum-of-products canonical form for the truth table shown below: A B C Y 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0 a. [10 pts] Minimize the Boolean equation you obtained in (a). b. [10 pts] Implement, using Logisim, the simplified logic circuit. Include an image of the circuit in your report. 2. [20 pts] Student A B will enjoy his picnic on sunny days that have no ants. He will also enjoy his picnic any day he sees a hummingbird, as well as on days where there are ants and ladybugs. a. Write a Boolean equation for his enjoyment (E) in terms of sun (S), ants (A), hummingbirds (H), and ladybugs (L). b. Implement in Logisim, the logic circuit of E function. Use the Circuit Analysis tool in Logisim to view the expression, include an image of the expression generated by Logisim in your report. 3.[20 pts] Find the minimum equivalent circuit for the one shown below (show your work): DAB C f(A,B,C,D)
Programming Logic & Design Comprehensive
9th Edition
ISBN:9781337669405
Author:FARRELL
Publisher:FARRELL
Chapter4: Making Decisions
Section: Chapter Questions
Problem 4RQ
Related questions
Question
![4. [15 pts] A logic function F of four variables a; b; c; d is described by the following K-map.
Derive the fully minimized SOP logic expression form of F.
cd\ab 00
01
11
10
00 0
0
0
1
01
1
0
0
1
11
1
0
1
1
10
0
0
1
1
5. [15 pts] Simplify the following expressions by means of a four-variable K-Map.
AD + BD + BC + ABD](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f1cff89-d0c3-401a-ba77-d9b5f81fcda4%2Ffef9caf0-84b1-41b5-a366-044c4fa15edf%2Fdjni5gr_processed.png&w=3840&q=75)
Transcribed Image Text:4. [15 pts] A logic function F of four variables a; b; c; d is described by the following K-map.
Derive the fully minimized SOP logic expression form of F.
cd\ab 00
01
11
10
00 0
0
0
1
01
1
0
0
1
11
1
0
1
1
10
0
0
1
1
5. [15 pts] Simplify the following expressions by means of a four-variable K-Map.
AD + BD + BC + ABD
![1.[30 pts] Answer the following questions:
a. [10 pts] Write a Boolean equation in sum-of-products canonical form for the truth table
shown below:
A
B
C
Y
0
0
0
1
0
0
1
0
0
1
0
0
0
1
1
0
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
0
a. [10 pts] Minimize the Boolean equation you obtained in (a).
b. [10 pts] Implement, using Logisim, the simplified logic circuit. Include an image of
the circuit in your report.
2. [20 pts] Student A B will enjoy his picnic on sunny days that have no ants. He
will also enjoy his picnic any day he sees a hummingbird, as well as on days where
there are ants and ladybugs.
a. Write a Boolean equation for his enjoyment (E) in terms of sun (S), ants
(A), hummingbirds (H), and ladybugs (L).
b. Implement in Logisim, the logic circuit of E function. Use the Circuit Analysis tool in
Logisim to view the expression, include an image of the expression generated by Logisim
in your report.
3.[20 pts] Find the minimum equivalent circuit for the one shown below (show your work):
DAB
C
f(A,B,C,D)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f1cff89-d0c3-401a-ba77-d9b5f81fcda4%2Ffef9caf0-84b1-41b5-a366-044c4fa15edf%2Fqrjtwfp_processed.png&w=3840&q=75)
Transcribed Image Text:1.[30 pts] Answer the following questions:
a. [10 pts] Write a Boolean equation in sum-of-products canonical form for the truth table
shown below:
A
B
C
Y
0
0
0
1
0
0
1
0
0
1
0
0
0
1
1
0
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
0
a. [10 pts] Minimize the Boolean equation you obtained in (a).
b. [10 pts] Implement, using Logisim, the simplified logic circuit. Include an image of
the circuit in your report.
2. [20 pts] Student A B will enjoy his picnic on sunny days that have no ants. He
will also enjoy his picnic any day he sees a hummingbird, as well as on days where
there are ants and ladybugs.
a. Write a Boolean equation for his enjoyment (E) in terms of sun (S), ants
(A), hummingbirds (H), and ladybugs (L).
b. Implement in Logisim, the logic circuit of E function. Use the Circuit Analysis tool in
Logisim to view the expression, include an image of the expression generated by Logisim
in your report.
3.[20 pts] Find the minimum equivalent circuit for the one shown below (show your work):
DAB
C
f(A,B,C,D)
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