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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)
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 ::: File Edit View Go Message Tools Help M Inbox Inbox 2 国 M 9 0 Thunderbird Mail 不 ↑↓ 4 of 7 (()) Deleted 1 message from Inbox 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 >>> »
Transcribed Image Text:Activities ::: File Edit View Go Message Tools Help M Inbox Inbox 2 国 M 9 0 Thunderbird Mail 不 ↑↓ 4 of 7 (()) Deleted 1 message from Inbox 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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