Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question

How do we get the expression for y0, y1, and y2?

**Title: Synthesis of an 8-to-3 Encoder Network** This lesson covers the synthesis process for an 8-to-3 encoder, a digital circuit that converts 8 input signals (denoted as \( w_0, w_1, \ldots, w_7 \)) into 3 output signals (\( y_0, y_1, y_2 \)). **Truth Table:** | \( w_7 \) | \( w_6 \) | \( w_5 \) | \( w_4 \) | \( w_3 \) | \( w_2 \) | \( w_1 \) | \( w_0 \) | \( y_2 \) | \( y_1 \) | \( y_0 \) | |-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------| | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | | 0 | 0 | 0 | 0 | 0 | 0 | 1 | - | 0 | 0 | 1 | | - | - | - | - | - | 1 | - | - | 0 | 1 | 0 | | - | - | 1 | - | - | - | - | - | 0 | 1 | 1 | | - | 1 | - | - | - | - | - | - | 1 | 0 | 0 | | 1 | - | - | - | - | - | - | - | 1 | 0 | 1 | | 1 | 1 | 1 | 0 | - | - | - | - | 1 | 1 | 0 | | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
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Transcribed Image Text:**Title: Synthesis of an 8-to-3 Encoder Network** This lesson covers the synthesis process for an 8-to-3 encoder, a digital circuit that converts 8 input signals (denoted as \( w_0, w_1, \ldots, w_7 \)) into 3 output signals (\( y_0, y_1, y_2 \)). **Truth Table:** | \( w_7 \) | \( w_6 \) | \( w_5 \) | \( w_4 \) | \( w_3 \) | \( w_2 \) | \( w_1 \) | \( w_0 \) | \( y_2 \) | \( y_1 \) | \( y_0 \) | |-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------| | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | | 0 | 0 | 0 | 0 | 0 | 0 | 1 | - | 0 | 0 | 1 | | - | - | - | - | - | 1 | - | - | 0 | 1 | 0 | | - | - | 1 | - | - | - | - | - | 0 | 1 | 1 | | - | 1 | - | - | - | - | - | - | 1 | 0 | 0 | | 1 | - | - | - | - | - | - | - | 1 | 0 | 1 | | 1 | 1 | 1 | 0 | - | - | - | - | 1 | 1 | 0 | | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
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