5. A) Design the following Boolean function using a 3-to-8 line decoder and an OR gate. F(A,B,C) = AB + BC B) Design a Full Adder circuit of two binary numbers with two bits denoted as A₁40 and B₁ Bo and an input carry C₁ using two 1-bit full adder circuits block diagram and external basic gates. Here output will be sum=$₁50 and output carry Co.
5. A) Design the following Boolean function using a 3-to-8 line decoder and an OR gate. F(A,B,C) = AB + BC B) Design a Full Adder circuit of two binary numbers with two bits denoted as A₁40 and B₁ Bo and an input carry C₁ using two 1-bit full adder circuits block diagram and external basic gates. Here output will be sum=$₁50 and output carry Co.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
Related questions
Question
![5. A) Design the following Boolean function using a 3-to-8 line decoder and an OR gate.
F(A,B,C) = AB + BC
B) Design a Full Adder circuit of two binary numbers with two bits denoted as A₁40 and
B₂Bo and an input carry C; using two 1-bit full adder circuits block diagram and external
basic gates. Here output will be sum=s₁s and output carry Co.
6. A) Implement the following Boolean function with an 8-to-1-line multiplexer and external
basic gates.
F(W,X,Y,Z) = IIM (0,2,5,6,7,8,9,10)
B) Design an 8-to-1 -line multiplexer using 2-to-1 line multiplexers only. You need to use the
block diagram of the 2 to 1 line multiplexer.
7. A) Design a 4-input Priority Encoder with inputs D₂ D₂ D₂ Do. Derive the truth table of the
priority encoder where priority is set according to the following sequence of priority from
the highest to the lowest D₁ > D₂ > D₁ > D₂. Derive the Boolean expressions for outputs
and draw the circuit diagram.
B) Find the Boolean expressions of the outputs of a Hexadecimal to Binary encoder where
inputs are Ho, H₁, H₂, ...,H₁5 and outputs are A, B, C, D.
Excitation Tables for different Flip-Flops
Q(+) Q(++1)
D Operation
Q(†)_Q(t+1) JK
Operation
0
0
0
0
Reset
Set
0x
1 X
No change/reset
Set/complement
1 1
0
0
0 Reset
1
1 Reset/complement
1
1
Set
1
0 No change/set
Q(+1)
T
Operation
0
0
No change
1
1
Complement
Complement
0
1
1 0
No change
THOOK
0
0
1
Q(t)
0
0
1
1
1
0
1
OXX](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06bb59b7-b721-496f-a693-6a41a2ba65ca%2F5247098b-f507-479b-89c9-6822223d22b6%2Fpw39cq_processed.png&w=3840&q=75)
Transcribed Image Text:5. A) Design the following Boolean function using a 3-to-8 line decoder and an OR gate.
F(A,B,C) = AB + BC
B) Design a Full Adder circuit of two binary numbers with two bits denoted as A₁40 and
B₂Bo and an input carry C; using two 1-bit full adder circuits block diagram and external
basic gates. Here output will be sum=s₁s and output carry Co.
6. A) Implement the following Boolean function with an 8-to-1-line multiplexer and external
basic gates.
F(W,X,Y,Z) = IIM (0,2,5,6,7,8,9,10)
B) Design an 8-to-1 -line multiplexer using 2-to-1 line multiplexers only. You need to use the
block diagram of the 2 to 1 line multiplexer.
7. A) Design a 4-input Priority Encoder with inputs D₂ D₂ D₂ Do. Derive the truth table of the
priority encoder where priority is set according to the following sequence of priority from
the highest to the lowest D₁ > D₂ > D₁ > D₂. Derive the Boolean expressions for outputs
and draw the circuit diagram.
B) Find the Boolean expressions of the outputs of a Hexadecimal to Binary encoder where
inputs are Ho, H₁, H₂, ...,H₁5 and outputs are A, B, C, D.
Excitation Tables for different Flip-Flops
Q(+) Q(++1)
D Operation
Q(†)_Q(t+1) JK
Operation
0
0
0
0
Reset
Set
0x
1 X
No change/reset
Set/complement
1 1
0
0
0 Reset
1
1 Reset/complement
1
1
Set
1
0 No change/set
Q(+1)
T
Operation
0
0
No change
1
1
Complement
Complement
0
1
1 0
No change
THOOK
0
0
1
Q(t)
0
0
1
1
1
0
1
OXX
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