Please help with both. The diagram in the image illustrates a digital circuit with multiple components, including decoders and encoders, designed to handle binary input and output values.**Components of the Circuit:**1. **Inputs and Logic Gates:** - The circuit begins with four binary inputs labeled \(I_3, I_2, I_1, I_0\). - These inputs are fed into a series of logic gates depicted as AND gates in the diagram to process varying combinations of the inputs.2. **8-to-3 Encoder:** - The processed outputs from the logic gates enter an 8-to-3 encoder. The encoded signals are labeled as \(X_0, X_1, X_2\). - Ground is connected and always represents a value of 0, as indicated in the drawing.3. **3-to-8 Decoder:** - The encoded signals \(X_0, X_1, X_2\) are then fed into a 3-to-8 decoder. - The decoder outputs are labeled externally as \(Z_0\) through \(Z_7\).4. **Outputs:** - The output pins \(Z_0\) to \(Z_7\) indicate which line will carry the high signal (1) based on the combinations fed into the encoder and decoder.**Objective:**- Determine which pin (e.g., \(Z_3\)) will output a signal of 1 for given four-bit input values.**Available Input Options:**- (a) \(I = 1101\)- (b) \(I = 0101\)- (c) \(I = 0110\)- (d) \(I = 0011\)- (e) \(I = 1010\)The circuit involves the use of logical processing units (AND gates, encoder, decoder) to follow through from set binary inputs to the appropriate decoder outputs. Understanding and analyzing this process requires knowledge of binary logic operations, particularly focusing on encoding and decoding mechanisms in digital electronics. **Decoder Circuit Design Task**We are tasked with designing a 5-to-32 decoder using inputs labeled \( A_4 \) to \( A_0 \). This decoder will generate 32 distinct output circuits, designated as \( X_0 \) through \( X_{31} \).**Instructions:**- Utilize the given input bus (lines representing \( A_4 \) to \( A_0 \)).- Draw the complete circuits specifically for the following outputs: \( X_6 \), \( X_{10} \), \( X_{19} \), \( X_{26} \), and \( X_{30} \).- Ensure each output circuit is clearly labeled.**Notes:**The image depicts five vertical lines labeled from \( A_4 \) at the left to \( A_0 \) at the right. These lines represent the input signals to the decoder. The rest of the task is to be completed by drawing the corresponding logic gates and connections that will realize the specified outputs based on the binary representation of each index.

Answered: Please help with both.

Engineering

Computer Science

Please help with both.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Please help with both.

The diagram in the image illustrates a digital circuit with multiple components, including decoders and encoders, designed to handle binary input and output values.

**Components of the Circuit:**

1. **Inputs and Logic Gates:**
- The circuit begins with four binary inputs labeled \(I_3, I_2, I_1, I_0\).
- These inputs are fed into a series of logic gates depicted as AND gates in the diagram to process varying combinations of the inputs.

2. **8-to-3 Encoder:**
- The processed outputs from the logic gates enter an 8-to-3 encoder. The encoded signals are labeled as \(X_0, X_1, X_2\).
- Ground is connected and always represents a value of 0, as indicated in the drawing.

3. **3-to-8 Decoder:**
- The encoded signals \(X_0, X_1, X_2\) are then fed into a 3-to-8 decoder.
- The decoder outputs are labeled externally as \(Z_0\) through \(Z_7\).

4. **Outputs:**
- The output pins \(Z_0\) to \(Z_7\) indicate which line will carry the high signal (1) based on the combinations fed into the encoder and decoder.

**Objective:**
- Determine which pin (e.g., \(Z_3\)) will output a signal of 1 for given four-bit input values.

**Available Input Options:**
- (a) \(I = 1101\)
- (b) \(I = 0101\)
- (c) \(I = 0110\)
- (d) \(I = 0011\)
- (e) \(I = 1010\)

The circuit involves the use of logical processing units (AND gates, encoder, decoder) to follow through from set binary inputs to the appropriate decoder outputs. Understanding and analyzing this process requires knowledge of binary logic operations, particularly focusing on encoding and decoding mechanisms in digital electronics.

**Decoder Circuit Design Task**

We are tasked with designing a 5-to-32 decoder using inputs labeled \( A_4 \) to \( A_0 \). This decoder will generate 32 distinct output circuits, designated as \( X_0 \) through \( X_{31} \).

**Instructions:**

- Utilize the given input bus (lines representing \( A_4 \) to \( A_0 \)).
- Draw the complete circuits specifically for the following outputs: \( X_6 \), \( X_{10} \), \( X_{19} \), \( X_{26} \), and \( X_{30} \).
- Ensure each output circuit is clearly labeled.

**Notes:**

The image depicts five vertical lines labeled from \( A_4 \) at the left to \( A_0 \) at the right. These lines represent the input signals to the decoder. The rest of the task is to be completed by drawing the corresponding logic gates and connections that will realize the specified outputs based on the binary representation of each index.

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