Solve problem 2 I will rate you ### Problem 2: Seven-Segment DisplaySeven-segment displays are prevalent output devices used in various applications such as clocks, radios, calculators, and odometers. They offer an easy method to implement numeric output for digital circuits, especially in hexadecimal form. These displays take a four-bit binary input and utilize a display composed of seven thin, elongated LEDs. These LEDs are arranged in a specific pattern of eight to generate the necessary signals to drive the display.Each of the seven LEDs is denoted by labels (a, b, c, d, e, f, g). These seven outputs from the decoder are responsible for selecting the relevant segments in the display, as illustrated below:![Seven Segment Display](image source)**Tasks:**1. **Truth Table Development:** - Design a truth table for a circuit that controls LED segment "c" in a seven-segment display. For instance, segments for numbers 0, 1, and 3 should illuminate the LED representing "c", while numbers 2, E, or F should not.2. **Boolean Function Simplification:** - Employ Karnaugh map reduction to create a simplified Boolean function for a seven-segment decoder using the least number of gates in a sum-of-product format.3. **Circuit Implementation:** - Construct your circuit in a simulator, utilizing only NAND and NOT gates.4. **Verification:** - Ensure your results match the truth table from task (a). In your implementation, also utilize a seven-segment display connected directly to your inputs to validate your LED-to-display outcomes. Remember, the seven-segment display requires a ground input for connectivity.

According to the Bartelby guidelines we are allowed to solve 3 sub question so please resubmit the remaining question i am going to solve first 3 question. a) We need to find a true circuit table that controls the LED "c" part of the seven-part display. With a number 0,1,3 our LED representing "c" should light up, while numbers such as 2, E or F should not light up "c". b) We need to use K-map to obtain a simplified Boolean design design of a seven-segment decoder using a small number of gates per product total. c) We need to use our region in the template using NAND only NOT gates. 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 c=C¯¯¯+A¯¯¯D× 1 1 1 0 0 1 1 1 1 0The 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: We draw the K-map of segment c controller. The K-map of c is as shown below:

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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: 082395637 33839868 source: https://lastminuteengineers.com/seven-segment-arduino-tutorial/ Do the following: (a) Drive the truth table for a circuit which will control LED segment "c" of a seven-segment display. For example, for number 0, 1, 3, your LED representing "c" should light up, whereas for numbers such as 2, E, or F it should not. (b) Use Karnaugh map reduction to get a simplified Boolean function design for a seven-segment decoder that uses a minimum number of gates in sum-of-product form. (c) Implement your circuit in the simulator, using only NAND and NOT gates. (d) Verify that it

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: 082395637 33839868 source: https://lastminuteengineers.com/seven-segment-arduino-tutorial/ Do the following: (a) Drive the truth table for a circuit which will control LED segment "c" of a seven-segment display. For example, for number 0, 1, 3, your LED representing "c" should light up, whereas for numbers such as 2, E, or F it should not. (b) Use Karnaugh map reduction to get a simplified Boolean function design for a seven-segment decoder that uses a minimum number of gates in sum-of-product form. (c) Implement your circuit in the simulator, using only NAND and NOT gates. (d) Verify that it

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Solve problem 2 I will rate you

### Problem 2: Seven-Segment Display

Seven-segment displays are prevalent output devices used in various applications such as clocks, radios, calculators, and odometers. They offer an easy method to implement numeric output for digital circuits, especially in hexadecimal form. These displays take a four-bit binary input and utilize a display composed of seven thin, elongated LEDs. These LEDs are arranged in a specific pattern of eight to generate the necessary signals to drive the display.

Each of the seven LEDs is denoted by labels (a, b, c, d, e, f, g). These seven outputs from the decoder are responsible for selecting the relevant segments in the display, as illustrated below:

![Seven Segment Display](image source)

**Tasks:**

1. **Truth Table Development:**
- Design a truth table for a circuit that controls LED segment "c" in a seven-segment display. For instance, segments for numbers 0, 1, and 3 should illuminate the LED representing "c", while numbers 2, E, or F should not.

2. **Boolean Function Simplification:**
- Employ Karnaugh map reduction to create a simplified Boolean function for a seven-segment decoder using the least number of gates in a sum-of-product format.

3. **Circuit Implementation:**
- Construct your circuit in a simulator, utilizing only NAND and NOT gates.

4. **Verification:**
- Ensure your results match the truth table from task (a). In your implementation, also utilize a seven-segment display connected directly to your inputs to validate your LED-to-display outcomes. Remember, the seven-segment display requires a ground input for connectivity.

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