EXAMPLE 2 A committee of three individuals decides issues for an organization. Each individual votes either yes or no for each proposal that arises. A proposal is passed if it receives at least two yes votes. Design a circuit that determines whether a proposal passes. Extra Examples Solution: Let x = 1 if the first individual votes yes, and x = 0 if this individual votes no; let y = 1 if the second individual votes yes, and y = 0 if this individual votes no; let z = 1 if the third individual votes yes, and z = 0 if this individual votes no. Then a circuit must be designed that produces the output 1 from the inputs x, y, and z when two or more of x, y, and z are 1. One representation of the Boolean function that has these output values is xy + x2 + yz (see Exercise 12 in Section 12.1). The circuit that implements this function is shown in Figure 5. NA N Þ xy + x2 + y2 FIGURE 5 A Circuit for Majority Voting.
EXAMPLE 2 A committee of three individuals decides issues for an organization. Each individual votes either yes or no for each proposal that arises. A proposal is passed if it receives at least two yes votes. Design a circuit that determines whether a proposal passes. Extra Examples Solution: Let x = 1 if the first individual votes yes, and x = 0 if this individual votes no; let y = 1 if the second individual votes yes, and y = 0 if this individual votes no; let z = 1 if the third individual votes yes, and z = 0 if this individual votes no. Then a circuit must be designed that produces the output 1 from the inputs x, y, and z when two or more of x, y, and z are 1. One representation of the Boolean function that has these output values is xy + x2 + yz (see Exercise 12 in Section 12.1). The circuit that implements this function is shown in Figure 5. NA N Þ xy + x2 + y2 FIGURE 5 A Circuit for Majority Voting.
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...
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Solve the circuit and or code in the image
![Activities
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Logic Exercises - Lesso X lecture_14_2.pdf X
imap://leobardolopez%40tec%2Emx@outlook.office365.com:993/fetch%3EUID%3E/ INBOX %3E29666?part=1.4&filename=lecture_14_2.pdf&type=application/pdf
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Examples
lecture_1
X
Examples of Circuits
We will give some examples of circuits that perform some useful functions.
EXAMPLE 2 A committee of three individuals decides issues for an organization. Each individual votes either
yes or no for each proposal that arises. A proposal is passed if it receives at least two yes votes.
Design a circuit that determines whether a proposal passes.
y
X
abr 19 20:32
Z
y
Z
- Mozilla Thunderbird
Solution: Let x = 1 if the first individual votes yes, and x = 0 if this individual votes no;
let y = 1 if the second individual votes yes, and y = 0 if this individual votes no; let z = 1
if the third individual votes yes, and z = 0 if this individual votes no. Then a circuit must be
designed that produces the output 1 from the inputs x, y, and z when two or more of x, y,
and z are 1. One representation of the Boolean function that has these output values is
xy+xz+yz (see Exercise 12 in Section 12.1). The circuit that implements this function is
shown in Figure 5.
xy
X
yz
xy + x2 + y2
FIGURE 5 A Circuit for Majority Voting.
D
A
40
X
>>> »](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fccddceb6-96d6-484c-8378-6d8620562c07%2Ffc28bb80-90f6-49e0-89b1-7a0e65938736%2F61jiw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Activities
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Logic Exercises - Lesso X lecture_14_2.pdf X
imap://leobardolopez%40tec%2Emx@outlook.office365.com:993/fetch%3EUID%3E/ INBOX %3E29666?part=1.4&filename=lecture_14_2.pdf&type=application/pdf
- + Automatic Zoom
X Inbox
Extra
Examples
lecture_1
X
Examples of Circuits
We will give some examples of circuits that perform some useful functions.
EXAMPLE 2 A committee of three individuals decides issues for an organization. Each individual votes either
yes or no for each proposal that arises. A proposal is passed if it receives at least two yes votes.
Design a circuit that determines whether a proposal passes.
y
X
abr 19 20:32
Z
y
Z
- Mozilla Thunderbird
Solution: Let x = 1 if the first individual votes yes, and x = 0 if this individual votes no;
let y = 1 if the second individual votes yes, and y = 0 if this individual votes no; let z = 1
if the third individual votes yes, and z = 0 if this individual votes no. Then a circuit must be
designed that produces the output 1 from the inputs x, y, and z when two or more of x, y,
and z are 1. One representation of the Boolean function that has these output values is
xy+xz+yz (see Exercise 12 in Section 12.1). The circuit that implements this function is
shown in Figure 5.
xy
X
yz
xy + x2 + y2
FIGURE 5 A Circuit for Majority Voting.
D
A
40
X
>>> »
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