Design a system that takes a 4-bit binary number ABCD as its input and whose output X is "1" if the decimal value of the input is equal to any of these digits (1,3,4,8), then output = 1 if the decimal value of the input is 0. A. Define your input variables and output variable and identify the relationship of the variables B. Simplify your logical expression using the minimum number of literals, if possible. Make sure to write the Boolean property/law that was done per step of simplification

Programming Logic & Design Comprehensive
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Chapter4: Making Decisions
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Design a system that takes a 4-bit binary number ABCD as its input and whose output X is "1" if the decimal value of the input is
equal to any of these digits (1,3,4,8), then output = 1 if the decimal value of the input is 0.
A. Define your input variables and output variable and identify the relationship of the variables
B. Simplify your logical expression using the minimum number of literals, if possible. Make sure to write the Boolean property/law
that was done per step of simplification
Transcribed Image Text:Design a system that takes a 4-bit binary number ABCD as its input and whose output X is "1" if the decimal value of the input is equal to any of these digits (1,3,4,8), then output = 1 if the decimal value of the input is 0. A. Define your input variables and output variable and identify the relationship of the variables B. Simplify your logical expression using the minimum number of literals, if possible. Make sure to write the Boolean property/law that was done per step of simplification
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