Lesson_3_Lab_Combinational_Logic
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Chandler-Gilbert Community College *
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Course
120
Subject
Electrical Engineering
Date
Feb 20, 2024
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docx
Pages
5
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CSC/EEE120 – Lab 3
Topics:
Working with truth tables, minterm, maxterm, SOP and implementing the logic in circuits.
Submission:
Report uploaded to RioLearn; Please use copy/paste screenshots from LogicWorks for the sections requiring a diagram of a logic circuit.
1.
Given the following truth table Inputs
Output
Inputs
Output
A
B
C
Y
A
B
C
Y
0
0
0
0
1
0
0
0
0
0
1
0
1
0
1
0
0
1
0
0
1
1
0
1
0
1
1
1
1
1
1
0
a.
Write a minterm
Boolean expression for the truth table (3 points)
Y = A
’
BC + ABC
’
b.
Diagram a logic circuit (using LogicWorks) that will perform the logic in the truth table (4 points)
0
1
A
0
1
B
0
1
C
1
2.
Given the following truth table
Inputs
Output
Inputs
Output
A
B
C
Y
A
B
C
Y
0
0
0
1
1
0
0
0
0
0
1
0
1
0
1
1
0
1
0
0
1
1
0
0
0
1
1
1
1
1
1
0
a.
Write a sum-of-products Boolean expression for the truth table (3 points)
Y = A
’
BC + AB
’
C
b.
Diagram a logic circuit (using LogicWorks) that will perform the logic in the truth table (4 points)
0
1
A
0
1
B
0
1
C
1
2
3.
Given the following truth table
Inputs
Output
Inputs
Output
A
B
C
Y
A
B
C
Y
0
0
0
1
1
0
0
1
0
0
1
0
1
0
1
1
0
1
0
1
1
1
0
0
0
1
1
1
1
1
1
1
a.
Write a maxterm Boolean expression for the truth table (3 points)
Y = A
’
B
’
C
’
+ A
’
BC
’
+ A
’
BC + AB
’
C
’
+ AB
’
C + ABC
b.
Diagram a logic circuit that (using LogicWorks) will perform the logic in the truth table (4 points)
0
1
C
0
1
B
0
1
A
0
4.
Given the following truth table
Inputs
Output
Inputs
Output
A
B
C
Y
A
B
C
Y
0
0
0
0
1
0
0
1
0
0
1
1
1
0
1
0
3
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0
1
0
1
1
1
0
1
0
1
1
0
1
1
1
1
a.
Write a product-of-sums Boolean expression for the truth table (3points)
A'B'C+A'BC'+AB'C'+ABC'+ABC
b.
Diagram a logic circuit that (using LogicWorks) will perform the logic in the truth table (4 points)
0
1
A
0
1
B
0
1
C
1
5.
Write a truth table for a 3-input XOR gate. Remember that an odd number of 1s generate a 1 output
(4 points)
A
B
C
OUTPUT
0
0
0
0
0
0
1
1
0
1
0
1
0
1
1
0
1
0
0
1
1
0
1
0
1
1
0
0
1
1
1
1
6.
Given an OR gate and inverters, draw a logic diagram (circuit, using LogicWorks) that will perform the 2-input NAND function (4 points)
4
A'BC + AB'C
0
1
0
1
0
7.
Given an OR gate and inverters, draw a logic diagram (circuit, using LogicWorks) that will perform the 2-input AND function (4 points)
0
1
0
1
1
Report requirements
Insert the answers to the questions above in this document and submit as a PDF to RioLearn, or create a separate document with your answers for submission to RioLearn.
5
Related Questions
SUBJECT: DIGITAL DESIGN AND LOGIC CIRCUITS FOR COMPUTER ENGINEERS
TOPIC: LOGIC DESIGN USING DECODER AND MUTLIPLEXER
NOTE: I need full complete solution and correct. Thanks you so much. Please help me!!
1. Implement the logic function
F(A, B, C) = AB' + BC + A'C' using 3x8 Decoder.
2. Implement the logic function
F(A, B, C) = AB' + BC + A'C' using multiplexer.
3. Design a combinational circuit with three inputs, x, y, and z, and three outputs, A,
B, and C. When the binary input is 0, 1, 2, or 3, the binary output is one greater than
the input. When the binary input is 4, 5, 6, or 7, the binary output is two less than the
input. Implement your design using multiplexer.
arrow_forward
9:38....
89
Assignment 3_ECE 161.pdf
Assignment 3 (CLO 3)
ECE-161 Digital Logic Design
Deadline: Friday, May 10, 3:00 pm
Q.1
Design a binary multiplier to multiply two 4-bit numbers by utilizing AND gates and binary adders
in the design.
Q. 2
You are required to design a combinational logic circuit that takes two 4-bit numbers A and B
and a 1-bit input C. The circuit should function as an adder or a subtractor of the inputs A and B,
such that based on the input C it toggles between addition and subtraction. Assume that A>B.
Q.3
Design a combinational circuit based on the given three Boolean functions.
F₁(A,B,C)=(2, 4, 7)
F₂(A,B,C)=(0,3)
F3(A,B,C)=(0, 2, 3, 4, 7)
Implement the circuit using a decoder constructed with NAND gates and "NAND or AND" gates
connected to the decoder outputs.
Q.4
Construct a full adder utilizing two 4x1 multiplexers.
Q.5
Construct a circuit to implement the following truth table shown below.
SR
0 1
QQ'
1
0
1
0
0
1
1
1
Q
Q'
Q
용
Q.6
Design a BCD-to-decimal…
arrow_forward
Design a system of OpAmps using a summer and inverter that produces the output
3v1 - 7v2
arrow_forward
Question 1
The static RAM 6264 is located starting at address 9E000 of the 8086 address space as shown in
the figure below.
a) What is the value of n? (see the notes below)
b) Show the address decoding circuitry adding external logic gates if necessary.
You can use the table below to analyze the address.
•
You must show all the connections to A, B, C, (G2A), (G2B), and G1.
• The address lines connected to the 6264 are indicated by n and the data lines are
indicated by d. You must also show the connection between the 74LS138 and the
6264 clearly on the figure below.
7415138
G2A
GZB
GI
S
Outputs
n
1888
CE
6264
A19 A18 A17 A16 A15 A14 A13 A12 A11 A10 A9 A8 A7 A6 A5 A4 A3 A2 A1 AO
arrow_forward
H.W: Reduce the combinational logic circuit in Figure below to a
minimum form.
arrow_forward
an someone explain to me the logic how to do this problem step by step I have the answers but I want to know how to do each part and understand the concepts of what is happening
in the circuit shown below
arrow_forward
Using the analysis technique where you first extract the truth table and then use it to derive the output’s logic expression, analyze the circuit. Record your results below.
I added the circuit as an image
Conclusion
In your own words, describe the process used to analyze a logic circuit where you first extract a truth table and then derive the logic expression.
2.Again, in your own words, describe the process used to analyze a logic circuit where you first extract the logic expression and then derive the truth table.
arrow_forward
3. Discussion:
1. Convert the gray code 01011001 to decimal number and show your work.
2. Convert the gray code 00101101 to binary number and show your work.
3. Design a 8-bit binary to gray code conversion circuit using logic gates and verify your design.
4. Design a 8-bit gray to binary code conversion circuit using logic gates and verify your design.
arrow_forward
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Related Questions
- SUBJECT: DIGITAL DESIGN AND LOGIC CIRCUITS FOR COMPUTER ENGINEERS TOPIC: LOGIC DESIGN USING DECODER AND MUTLIPLEXER NOTE: I need full complete solution and correct. Thanks you so much. Please help me!! 1. Implement the logic function F(A, B, C) = AB' + BC + A'C' using 3x8 Decoder. 2. Implement the logic function F(A, B, C) = AB' + BC + A'C' using multiplexer. 3. Design a combinational circuit with three inputs, x, y, and z, and three outputs, A, B, and C. When the binary input is 0, 1, 2, or 3, the binary output is one greater than the input. When the binary input is 4, 5, 6, or 7, the binary output is two less than the input. Implement your design using multiplexer.arrow_forward9:38.... 89 Assignment 3_ECE 161.pdf Assignment 3 (CLO 3) ECE-161 Digital Logic Design Deadline: Friday, May 10, 3:00 pm Q.1 Design a binary multiplier to multiply two 4-bit numbers by utilizing AND gates and binary adders in the design. Q. 2 You are required to design a combinational logic circuit that takes two 4-bit numbers A and B and a 1-bit input C. The circuit should function as an adder or a subtractor of the inputs A and B, such that based on the input C it toggles between addition and subtraction. Assume that A>B. Q.3 Design a combinational circuit based on the given three Boolean functions. F₁(A,B,C)=(2, 4, 7) F₂(A,B,C)=(0,3) F3(A,B,C)=(0, 2, 3, 4, 7) Implement the circuit using a decoder constructed with NAND gates and "NAND or AND" gates connected to the decoder outputs. Q.4 Construct a full adder utilizing two 4x1 multiplexers. Q.5 Construct a circuit to implement the following truth table shown below. SR 0 1 QQ' 1 0 1 0 0 1 1 1 Q Q' Q 용 Q.6 Design a BCD-to-decimal…arrow_forwardDesign a system of OpAmps using a summer and inverter that produces the output 3v1 - 7v2arrow_forward
- Question 1 The static RAM 6264 is located starting at address 9E000 of the 8086 address space as shown in the figure below. a) What is the value of n? (see the notes below) b) Show the address decoding circuitry adding external logic gates if necessary. You can use the table below to analyze the address. • You must show all the connections to A, B, C, (G2A), (G2B), and G1. • The address lines connected to the 6264 are indicated by n and the data lines are indicated by d. You must also show the connection between the 74LS138 and the 6264 clearly on the figure below. 7415138 G2A GZB GI S Outputs n 1888 CE 6264 A19 A18 A17 A16 A15 A14 A13 A12 A11 A10 A9 A8 A7 A6 A5 A4 A3 A2 A1 AOarrow_forwardH.W: Reduce the combinational logic circuit in Figure below to a minimum form.arrow_forwardan someone explain to me the logic how to do this problem step by step I have the answers but I want to know how to do each part and understand the concepts of what is happening in the circuit shown belowarrow_forward
- Using the analysis technique where you first extract the truth table and then use it to derive the output’s logic expression, analyze the circuit. Record your results below. I added the circuit as an image Conclusion In your own words, describe the process used to analyze a logic circuit where you first extract a truth table and then derive the logic expression. 2.Again, in your own words, describe the process used to analyze a logic circuit where you first extract the logic expression and then derive the truth table.arrow_forward3. Discussion: 1. Convert the gray code 01011001 to decimal number and show your work. 2. Convert the gray code 00101101 to binary number and show your work. 3. Design a 8-bit binary to gray code conversion circuit using logic gates and verify your design. 4. Design a 8-bit gray to binary code conversion circuit using logic gates and verify your design.arrow_forward
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