Given the timing diagram below, construct a truth table and write the equation for the function as POS (Product of Sums).The diagram consists of four input signals labeled A, B, C, and D. Each signal transitions between high and low states over 16 sample intervals. The output is depicted as F(A, B, C, D).### Timing Diagram Details:- **A**: High (0-1), Low (2-3), High (4-5), Low (6-7), High (8-9), Low (10-11), High (12-15)- **B**: High (0-1), Low (2-3), High (4-7), Low (8-9), High (10-11), Low (12-13), High (14-15)- **C**: High (0), Low (1), High (2-3), Low (4-5), High (6-7), Low (8-9), High (10-11), Low (12-13), High (14-15)- **D**: High (0), Low (1-2), High (3-4), Low (5-6), High (7-8), Low (9), High (10), Low (11-12), High (13-14), Low (15)### Constructing the Truth Table:The truth table will have columns for A, B, C, D, and F, with F representing the output at each sample point. The values will depend on the high or low state of each input signal at each sample interval.### Writing the Equation:To express the equation as a Product of Sums (POS), identify the conditions where the output F is low (0), and write a sum term for each. The final POS expression is a product (AND) of these sums (ORs).> This exercise requires examining each sample point (0-15) to determine the output values and constructing the truth table and corresponding POS equation accordingly.

truth table from timing diagram----> A B C D F 1 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0…

Answered: Given the timing Diagram below,…

Given the timing Diagram below, Construct a truth table and find write the equation for the function as POS. A B C D F(A,B,C,D) Sample 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15

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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Concept explainers

Embedded Software Development

Using specific programming languages (like C and C++) to write code for a specific hardware device in which it runs is called embedded software development. It makes the device smart by performing actions based on user's input which improves the user experience. They are designed to perform function-specific tasks rather than doing multiple tasks like computers. The embedded system is incredibly intuitive. An embedded software system could be a system developed and organized on any device, apart from an old-fashioned computer. It is the brain of a specific device; however, it is a solely useless tool and simple to elucidate what software system is embedded.

Question

Given the timing diagram below, construct a truth table and write the equation for the function as POS (Product of Sums).

The diagram consists of four input signals labeled A, B, C, and D. Each signal transitions between high and low states over 16 sample intervals. The output is depicted as F(A, B, C, D).

### Timing Diagram Details:
- **A**: High (0-1), Low (2-3), High (4-5), Low (6-7), High (8-9), Low (10-11), High (12-15)
- **B**: High (0-1), Low (2-3), High (4-7), Low (8-9), High (10-11), Low (12-13), High (14-15)
- **C**: High (0), Low (1), High (2-3), Low (4-5), High (6-7), Low (8-9), High (10-11), Low (12-13), High (14-15)
- **D**: High (0), Low (1-2), High (3-4), Low (5-6), High (7-8), Low (9), High (10), Low (11-12), High (13-14), Low (15)

### Constructing the Truth Table:
The truth table will have columns for A, B, C, D, and F, with F representing the output at each sample point. The values will depend on the high or low state of each input signal at each sample interval.

### Writing the Equation:
To express the equation as a Product of Sums (POS), identify the conditions where the output F is low (0), and write a sum term for each. The final POS expression is a product (AND) of these sums (ORs).

> This exercise requires examining each sample point (0-15) to determine the output values and constructing the truth table and corresponding POS equation accordingly.

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