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The months of the year are coded into 4 bits, W, X, Y, and Z, such that the i-th month of the year is given by the binary representation of i-1. For example, January is 0000, February is 0001, March is 0010, ..., December is 1011, where the most significant bit is represented by W and the least significant bit is Z. When presented with inputs W, X, Y, and Z, a digital circuit is to produce an output F, where F = 1 when the input corresponds to a month with 31 days and F = 0 for months not having 31 days. Design the logic circuit to produce output F given the 4-bit input W, X, Y, and Z.

The months of the year are coded into 4 bits, W, X, Y, and Z, such that the i-th month of the year is given by the binary representation of i-1. For example, January is 0000, February is 0001, March is 0010, ..., December is 1011, where the most significant bit is represented by W and the least significant bit is Z. When presented with inputs W, X, Y, and Z, a digital circuit is to produce an output F, where F = 1 when the input corresponds to a month with 31 days and F = 0 for months not having 31 days. Design the logic circuit to produce output F given the 4-bit input W, X, Y, and Z.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Simplify the given functions using Boolean Algebra and draw the logic circuit.

2. The months of the year are coded into 4 bits, W, X, Y, and Z, such that the i-th month of the year is given by the binary representation of i-1. For example, January is 0000, February is 0001, March is 0010, ..., December is 1011, where the most significant bit is represented by W and the least significant bit is Z. When presented with inputs W, X, Y, and Z, a digital circuit is to produce an output F, where F = 1 when the input corresponds to a month with 31 days and F = 0 for months not having 31 days. Design the logic circuit to produce output F given the 4-bit input W, X, Y, and Z.
Transcribed Image Text:2. The months of the year are coded into 4 bits, W, X, Y, and Z, such that the i-th month of the year is given by the binary representation of i-1. For example, January is 0000, February is 0001, March is 0010, ..., December is 1011, where the most significant bit is represented by W and the least significant bit is Z. When presented with inputs W, X, Y, and Z, a digital circuit is to produce an output F, where F = 1 when the input corresponds to a month with 31 days and F = 0 for months not having 31 days. Design the logic circuit to produce output F given the 4-bit input W, X, Y, and Z.
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