ECE Logic Circuit

The Magnitude Comparator is a device that compares two 4-bit binary inputs to determine their relationship, indicating whether one input is greater than, equal to, or less than the other. It outputs the conditions A > B, A = B, and A < B. A Subtractor is a logic circuit that facilitates the subtraction of binary coded numbers. This activity involves using XOR gates and LED indicators for the subtraction process. Before assembling the circuit, it is essential to identify the connections for the integrated circuit (IC) by creating a truth table and a corresponding circuit diagram. After establishing these foundational elements, the logic gate diagram for the IC is determined, followed by the physical assembly of the circuit, ensuring that all wires are connected to their respective input and output points. A Seven Segment Display (SSD) is an electronic display device used for showing decimal numerals, commonly found in digital clocks and electronic meters. This activity demonstrates how to display decimal numerals (0-9) using binary coded decimal through the SSD. Understanding the SSD's operation and pin configuration is crucial. The SSD has two types of common configurations: Cathode and Anode. The cathode configuration is used in this experiment, as it connects to ground while all inputs are positive, given that the IC outputs a positive value. The SSD has seven inputs, and by analyzing this component, a 4-bit binary code (A, B, C, and D) can be utilized. A truth table is created to illustrate the output of numerical values from 0 to 9. A water tank system requires a level indicator that determines nine water levels, utilizing ten lamps for visual indication. This water level indicator system generates corresponding lamp outputs. Prior to constructing the circuit, a thorough analysis of the problem statement using the truth table is conducted, allowing for a step-by-step breakdown of the equation. To avoid outputs for conditions not present in the truth table, all asterisks can be converted to 0 to ensure a 0 output for those conditions. A flow rate sensing device is employed in a liquid transport pipeline, providing a 5-bit output where all bits become 0 if the flow rate is less than 10 gallons per minute (gal/min). The first bit is 1 if the flow rate is at least 10 gal/min, the first and second bits are 1 if the flow rate is 20 gal/min, and so forth. The five bits, represented by A, B, C, D, and E, serve as inputs to the device, which generates two outputs: Y and Z. Output Y is 1 if the flow rate is less than 30 gal/min, while output Z is 1 if the flow rate is at least 20 gal/min but less than 50 gal/min. The problem statement is analyzed to formulate a Boolean equation for the system, which is then simplified to serve as the schematic diagram for constructing the system.

The Magnitude Comparator circuit operates by employing a series of logic gates to compare two 4-bit binary numbers, typically represented as A (A3, A2, A1, A0) and B (B3, B2, B1, B0). The outputs are generated based on the comparison results, where three output lines indicate A > B, A = B, and A < B. The circuit can be constructed using AND, OR, and NOT gates, following the logic derived from the truth table created for the comparator.

The Subtractor circuit utilizes XOR gates to perform binary subtraction, where the borrow condition is managed through additional logic gates, ensuring that the subtraction operation is accurately represented in binary form. LED indicators provide a visual representation of the output values, confirming the operation of the subtractor.

For the Seven Segment Display, the circuit is designed to convert the 4-bit binary input into a format suitable for the SSD. The SSD requires specific combinations of inputs to display numbers 0 through 9, and a truth table is essential to map these binary combinations to the corresponding segments of the display. The cathode configuration used in this experiment simplifies the connection process, as the common ground allows for straightforward integration with the output of the IC.

The water level indicator system employs a series of lamps to visually indicate the level of water in a tank. The circuit design requires careful consideration of the truth table to ensure that the correct lamps light up based on the water level. Each lamp corresponds to a specific water level, and the logic for activating these lamps is derived from the system's requirements.

Lastly, the flow rate sensing device utilizes a 5-bit output system to monitor the flow rate in a pipeline. The logical conditions for each output bit are defined based on the flow rate thresholds, and the outputs Y and Z are derived from the simplified Boolean equation. This equation not only aids in the design of the schematic but also ensures that the system functions correctly under varying flow conditions.The Magnitude Comparator is a type of device which compares the two 4 bit binary inputs and determines the output which are the greater than, the equal, and the less than. This device states A>B, A=B, and A
A Seven Segment Display (SSD) is a form of electronic display device for displaying decimal numerals. This is widely used in digital clocks, electronic meters, and other electronic devices. In this activity, we will show how we were able to display decimal numerals (0-9) using binary coded decimal via the SSD.

Before proceeding on, be sure to have an idea how an SSD work and mostimportantlyits pin configuration. Below is an image showing the pin configuration of the SSD. SSD has two types of common. The Cathode and the Anode. The cathode is a common ground while an anode is a common vcc. As for this experiment, we used a cathode, because its common is ground and all our inputs are positive, since an IC produces an output of apositivevalue.

As you can see on the image, there are 7 inputs for this component device. By analyzing thiscomponent, we can use a 4bit binary code (A, B, C, and D). Now that we have our 4bit binary code and our 7 inputs for the display, we can create our truth table. Here is an image of the truth table showing an output of numerical values from 0-9. A water tank system is in need of a level indicator which determines 9 water levels. Ten lamps are used to provide visual indication of the water levels. This is called a water level indicator system which provides the following lamp outputs: Before proceeding in constructing the circuit, let us first analyze the problem statement with the use of the truth table.

Therefore, it would be easy enough to break down the equation step by step. This is the reult from the truth table: Note: If you would like not to have an output with the remaining conditions which are not present on the truth table, convert all the asteries into 0 in order to have a 0 output during the application of the rest of the truth table. This flow rate sensing device is used on a liquid transport pipeline function. This device provides a 5 bit- output in which all the 5-bit becomes 0 of the flow rate is less than 10 gal/min.

The first bit is 1 if the flow rate is at least 10 gal/min. The first and second bit is 1 if the flow rate is 20 gal/min. the first, second and third bit is 1 if the flow rate is at least 30 gal/min and so on. The five bit is represented by A, B, C, D, and E are used as inputs to the device that provides two outputs which is Y and Z. The output Y is 1 if the flow rate is less than 30 gal/min. and the output Z is 1 if the flow rate is at least 20 gal/min but less than 50gal/min. First we Analyze the problem statement given and formulate a Boolean Equation for the system. Then we simplify the equation in any method in which we are comfortable with. The simplified equation would serve as our schematic diagram for the construction of the system. 🔗 External reference