Problem 2: Seven-segment displays are very common output display devices that are used in many common application like clocks, radios, calculators, odometers, etc. It is one of the easiest way to implement a numeric output for a digital circuit for a hexadecimal base. It takes a four-bit binary numeric input, and uses a display made of seven long, thin LEDS arranged in a parttern of an eight to create to signals necessary to drive the display. If we label the seven LEDS as (a, b, c, d, e, f, g), these seven outputs of the decoder select the corresponding segments in the display, as it shown below:

"According to the company's policy we will provide solution of the first three subparts of the question, if you want more of them to be get solved please post them by a different question". a) We need to derive the truth table for a circuit which control LED segment "c" of a seven segment display. For number 0,1,3 our LED representing "c" should light up, whereas for numbers such as 2,E or F it should not light up "c". b) We need to use K-map to get a simplified Boolean function design for a seven segment decoder that uses minimum number of gates in sum-of-product form. c) We need to implement our circuit in the simulator using only NAND and NOT gates.a) The truth table for controlling LED segment is as shown below: A B C D c 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 1 1 0 1 0 0 ×× 0 1 0 1 ×× 0 1 1 0 ×× 0 1 1 1 ×× 1 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 0 1 1 1 1 0b) The 7-segement decoder truth table is as shown below:We draw the K-map for 7-segment decoder. The K-map for a is as shown below: The K-map for b is as shown below: The K-map for c is as shown below: The K-map for d is as shown below:The K-map for e is as shown below: The K-map for f is as shown below: The K-map for g is as shown below: c) We draw the K-map of segment c controller. The K-map of c is as shown below: c=C¯+A¯D The logic circuit in Multisim simulation tool is as shown below:

Answered: Problem 2: Seven-segment displays are very common output display devices that are used in many common application like clocks, radios, calculators, odometers,…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN: 9780133923605

Author: Robert L. Boylestad

Publisher: PEARSON

See similar textbooks

Concept explainers

Multistage Amplifier

The multistage amplifier is generally a voltage or power amplifier. The multistage amplifier has a number of single stage amplifier that are cascaded together. Since a single stage amplifier output is not useful, they are being replaced with multistage a…

Question

Solve problem 2 will rate you

**Problem 2: Seven-Segment Display**

Seven-segment displays are common output devices used in applications like clocks, radios, calculators, and odometers. They provide an easy method to produce numeric output for digital circuits, especially for hexadecimal bases. The display involves a four-bit binary input and utilizes seven thin LEDs arranged in a pattern to produce the necessary signals for displaying numbers.

In the depiction of segments as labeled \( a, b, c, d, e, f, g \), these outputs from the decoder select the necessary segments to display the corresponding number, as illustrated:

**Diagram Description:**

The diagram shows numbers 0 to F, each represented using a seven-segment layout. Each digit highlights different segments:

- For instance, the number "0" typically lights up segments \( a, b, c, d, e, \) and \( f \).
- The number "1" lights up segments \( b \) and \( c \), and so on.

The diagram visualizes the hexadecimal representation from 0 to F, with each value depicted by lighting up the relevant segments.

**Tasks:**

1. **Truth Table:**
- Create a truth table for a circuit managing segment "c" of the seven-segment display.
- Highlight which numbers activate the "c" segment (e.g., "0", "1", "3").

2. **Karnaugh Map Reduction:**
- Utilize Karnaugh maps to attain a simplified Boolean function for the seven-segment decoder, minimizing gate usage in a sum-of-products form.

3. **Circuit Implementation:**
- Build the circuit using a simulator, employing only NAND and NOT gates.

4. **Verification:**
- Confirm the circuit's accuracy with the truth table.
- Connect directly to inputs and compare LED results with values shown on the display.
- Ensure the ground input of the seven-segment display is connected.

Submit the truth table and Karnaugh map from tasks (a) and (b), alongside screenshots of your simulation proving segment "c" activation for at least two different input sets.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution

See solution Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Similar questions

Recommended textbooks for you

Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,