Question

A function $F$ is defined such that it equals 1 when a 4-bit input code is equivalent to any of the decimal numbers $3,6,9,12$, or 15 . Function $F$ is 0 for input codes $0,2,8$, and 10 . Other input values cannot occur. Use a Karnaugh map to determine a minimal expression for this function. Design and sketch a circuit to implement this function, using only AND and NOT gates.

   A function $F$ is defined such that it equals 1 when a 4-bit input code is equivalent to any of the decimal numbers $3,6,9,12$, or 15 . Function $F$ is 0 for input codes $0,2,8$, and 10 . Other input values cannot occur. Use a Karnaugh map to determine a minimal expression for this function. Design and sketch a circuit to implement this function, using only AND and NOT gates.

Principles and Applications of Electrical Engineering

Giorgio Rizzoni,… 7th Edition

Chapter 11, Problem 43

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A function $F$ is defined such that it equals 1 when a 4-bit input code is equivalent to any of the decimal numbers $3,6,9,12$, or 15 . Function $F$ is 0 for input codes $0,2,8$, and 10 . Other input values cannot occur. Use a Karnaugh map to determine a minimal expression for this function. Design and sketch a circuit to implement this function, using only AND and NOT gates.

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