A circuit has four inputs D, C, B, A encoded in 8421 natural binary form. The inputs in the range 0000 to 1011 represent the months of the year from January (0) to December (11). Inputs in the range 1100 to 1111 (i.e., 12 to 15) cannot occur. The output of the circuit is a logical 1 if the month represented by the input has 31 days. Otherwise the output is false. The output for inputs in the range 1100 to 1111 is undefined. Draw a truth table to represent the problem and use it to construct a Karnaugh map. Use the Karnaugh map to obtain a simplified expression for the function.

A circuit has four inputs D, C, B, A encoded in 8421 natural binary form. The inputs in the range 0000 to 1011 represent the months of the year from January (0) to December (11). Inputs in the range 1100 to 1111 (i.e., 12 to 15) cannot occur. The output of the circuit is a logical 1 if the month represented by the input has 31 days. Otherwise the output is false. The output for inputs in the range 1100 to 1111 is undefined. Draw a truth table to represent the problem and use it to construct a Karnaugh map. Use the Karnaugh map to obtain a simplified expression for the function.

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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Concept explainers

Code Conversion

The method or technique used to convert code from one format to another is termed code conversion. Code conversions are most commonly used in computers, digital electronics, microprocessors, etc.

Question

A circuit has four inputs D, C, B, A encoded in 8421 natural binary form. The
inputs in the range 0000 to 1011 represent the months of the year from
January (0) to December (11). Inputs in the range 1100 to 1111 (i.e., 12 to
15) cannot occur. The output of the circuit is a logical 1 if the month
represented by the input has 31 days. Otherwise the output is false. The
output for inputs in the range 1100 to 1111 is undefined.
Draw a truth table to represent the problem and use it to construct a
Karnaugh map.
Use the Karnaugh map to obtain a simplified expression for the function.

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