a) Fill out the truth table wo w1 w2 w3 Y b) Create a Karnaugh Map from the truth table 2. (8 points) A circuit looks at a four-bit pattern [w0 w1 w2 w3] and detects either a 1-1-1 or 0-0-1 pattern in the four bits, outputting the signal Y=1 if either pattern is found. (For example, if [w0 w1 w2 w3] is 0010, Y would be 1 because there is a 001 sequence there. If [w0 w1 w2 w3] is 0101, Y would be 0 because there is neither a 111 nor a 001 pattern in those 4 bits.)

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
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Author:Russell E. Smith
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Chapter9: Components For Electric Motors
Section: Chapter Questions
Problem 14RQ
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Solve this problem and show all of the work 

a) Fill out the truth table
wo
w1
w2
w3
Y
b) Create a Karnaugh Map from the truth table
Transcribed Image Text:a) Fill out the truth table wo w1 w2 w3 Y b) Create a Karnaugh Map from the truth table
2. (8 points) A circuit looks at a four-bit pattern [w0 w1 w2 w3] and detects either a 1-1-1 or
0-0-1 pattern in the four bits, outputting the signal Y=1 if either pattern is found. (For
example, if [w0 w1 w2 w3] is 0010, Y would be 1 because there is a 001 sequence there.
If [w0 w1 w2 w3] is 0101, Y would be 0 because there is neither a 111 nor a 001 pattern in
those 4 bits.)
Transcribed Image Text:2. (8 points) A circuit looks at a four-bit pattern [w0 w1 w2 w3] and detects either a 1-1-1 or 0-0-1 pattern in the four bits, outputting the signal Y=1 if either pattern is found. (For example, if [w0 w1 w2 w3] is 0010, Y would be 1 because there is a 001 sequence there. If [w0 w1 w2 w3] is 0101, Y would be 0 because there is neither a 111 nor a 001 pattern in those 4 bits.)
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