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. Generate a truth table C. Formulate a logical expression in canonical form D. 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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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. Generate a truth table
C. Formulate a logical expression in canonical form
D. 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. Generate a truth table C. Formulate a logical expression in canonical form D. 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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