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Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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PLEASE LABEL AND DESCRIBE DIAGRAM

The image represents a digital logic circuit diagram, specifically a 2-to-4 line binary decoder with OR gates.

**Components:**

1. **Inputs:**
   - Two inputs labeled as \( a_1 \) and \( a_0 \) on the left side.

2. **Inverters:**
   - Two NOT gates are connected to the inputs. 
   - The output of the NOT gate connected to \( a_1 \) produces \( \overline{a_1} \).
   - The output of the NOT gate connected to \( a_0 \) produces \( \overline{a_0} \).

3. **AND Gates:**
   - Four 3-input AND gates are shown in a vertical arrangement.
   - Each AND gate connects to combinations of \( a_1, \overline{a_1}, a_0, \) and \( \overline{a_0} \) for decoding.

4. **Connections:**
   - The intersections marked with stars (*) indicate where lines from inverter outputs and direct inputs feed into AND gates.

5. **Outputs from AND Gates:**
   - These are labeled as connections going horizontally from the AND gates.

6. **OR Gates:**
   - Eight OR gates are shown on the right.
   - Each OR gate corresponds to outputs \( d_7 \) to \( d_0 \).

**Functionality:**

- The circuit decodes the input binary combinations into a unique active output line among the eight outputs (\( d_0 \) to \( d_7 \)), while using AND gates to validate the input combination, and OR gates to consolidate the outputs. Edge cases and specific transitions are managed by combining signal logic through connected components.

This diagram is typically used to explain the functioning of decoders in digital electronics, showcasing basic logic gate operations and binary decoding processes.
Transcribed Image Text:The image represents a digital logic circuit diagram, specifically a 2-to-4 line binary decoder with OR gates. **Components:** 1. **Inputs:** - Two inputs labeled as \( a_1 \) and \( a_0 \) on the left side. 2. **Inverters:** - Two NOT gates are connected to the inputs. - The output of the NOT gate connected to \( a_1 \) produces \( \overline{a_1} \). - The output of the NOT gate connected to \( a_0 \) produces \( \overline{a_0} \). 3. **AND Gates:** - Four 3-input AND gates are shown in a vertical arrangement. - Each AND gate connects to combinations of \( a_1, \overline{a_1}, a_0, \) and \( \overline{a_0} \) for decoding. 4. **Connections:** - The intersections marked with stars (*) indicate where lines from inverter outputs and direct inputs feed into AND gates. 5. **Outputs from AND Gates:** - These are labeled as connections going horizontally from the AND gates. 6. **OR Gates:** - Eight OR gates are shown on the right. - Each OR gate corresponds to outputs \( d_7 \) to \( d_0 \). **Functionality:** - The circuit decodes the input binary combinations into a unique active output line among the eight outputs (\( d_0 \) to \( d_7 \)), while using AND gates to validate the input combination, and OR gates to consolidate the outputs. Edge cases and specific transitions are managed by combining signal logic through connected components. This diagram is typically used to explain the functioning of decoders in digital electronics, showcasing basic logic gate operations and binary decoding processes.
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