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Digital Logic Gates: A Comprehensive Guide to Basic, Universal, and Coincidence Gates, Study Guides, Projects, Research of Digital Electronics

A comprehensive guide to digital logic gates, covering basic gates like not, or, and and, universal gates like nand and nor, and coincidence gates like xor and xnor. It includes detailed explanations of their functions, characteristics, and testing procedures. The document also explores the design and implementation of logic circuits using these gates, including full adders and subtracters. It is an excellent resource for students learning about digital logic and circuit design.

Typology: Study Guides, Projects, Research

2023/2024

Uploaded on 11/11/2024

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Eastern Visayas State University
College of Engineering
Electronics Engineering Department
Logic Circuits and Switching Theory
Expirement # 1
Basic Logic Gates
Name: ____________________________ _______________________________
____________________________ _______________________________
Objectives:
At the end of this exercise, the students are expected to:
Identify the different types of Basic Logic Gates.
Identify the different functions and characteristics of Basic Logic Gates.
Learn how to test Basic Logic Gates.
Demonstrate how to connect logic gate circuit into the breadboard.
Demonstrate how to determine the output of the logic gate circuit through its truth
table.
Materials Required:
1 Power Supply (w/ 5V DC source)
Connecting Wires
1 Breadboard
1 7404 NOT Gate
1 7408 AND Gate
1 7432 OR Gate
3 LED
Principles:
Three of the simplest and most commonly used logic gates are the inverter NOT Gate, the OR
Gate, and the AND Gate (also known as Basic Logic Gates). The function of an inverter NOT is
either to change a 1 input to a 0 output, or a 0 input to a 1 output. Hence, it inverts or
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Eastern Visayas State University College of Engineering Electronics Engineering Department Logic Circuits and Switching Theory Expirement # 1

Basic Logic Gates

Name: ____________________________ _______________________________


Objectives: At the end of this exercise, the students are expected to:  Identify the different types of Basic Logic Gates.  Identify the different functions and characteristics of Basic Logic Gates.  Learn how to test Basic Logic Gates.  Demonstrate how to connect logic gate circuit into the breadboard.  Demonstrate how to determine the output of the logic gate circuit through its truth table. Materials Required:  1 Power Supply (w/ 5V DC source)  Connecting Wires  1 Breadboard  1 7404 NOT Gate  1 7408 AND Gate  1 7432 OR Gate  3 LED Principles: Three of the simplest and most commonly used logic gates are the inverter NOT Gate , the OR Gate , and the AND Gate (also known as Basic Logic Gates ). The function of an inverter NOT is either to change a 1 input to a 0 output, or a 0 input to a 1 output. Hence, it inverts or

complements the signal. An inverter has only one input and one output. The symbol for an inverter is a small triangle with a bubble (Fig. 1). The standard TTL inverter is the 7404 IC. An OR gate, electrically performs the logical OR function; if any input is HIGH (logic 1), the output is also HIGH. In the 74xx series, only 2-input OR gates are manufactured. These are the 7432 ICs. A 3-input OR gate can be constructed using two 7432 gates. Its output will be HIGH if any one of the inputs is HIGH. The AND gate is similar to OR gate and conceptually may have any number of inputs. Its input is the logical AND of the inputs (i.e., all inputs must be 1 in order for the output to be 1). The standard symbol for AND gate as shown on Fig. 3. The basic TTL AND gate is the TTL series 7408 quad 2-input AND gate. Triple 3-and 4-input AND gates are also available. The 3- and 4-input AND gates can be constructed from 7408 gates. Procedures:

  1. Test for the logic output (X, Y, Z) using LED indicator.
  2. Record the results on Truth Table 3. Note: Never supply the circuit with more than 5V DC source. Data and Results:

Observation: Conclusion:

Electronics Engineering Department Logic Circuits and Switching Theory Expirement # 2

Basic Logic Gates Circuit Design

Name: ____________________________ ______________________________


Objectives: At the end of this exercise, the students are expected to:  Identify the characteristics of Basic Logic Gates in combinational circuits.  Learn how to make/design Basic Logic Gates Circuit. Materials Required: 1 Power supply (w/5V DC source) Connecting Wires 1 Breadboard 1 7404 NOT Gate 1 7408 AND Gate 1 7432 OR Gate LED Principles: In the previous experiment, you were able to observed the characteristics of Basic Logic Gates ( NOT, OR , and AND gates). By combining two or more of the logic gates, you were also able to create more than two inputs (i.e., two 2- input AND gates can produce a 3-input AND gate as shown in Fig. 1).

However, the different Basic Logic Gates can also be combined to produce your desired output. Assuming that you have a logic expression (A + B) C, and you would want to design a circuit for this expression. Using the Basic Logic Gates you can design a circuit for this expression. It is the AND of C input and of A input ORed to B input (Fig. 2). The process of combining different logic gates to produce desired output is known as the Logic Design. The interconnection of gates varies depending on the prescribed output and the number of inputs on the circuit. Procedures: Basic Logic Gates:

  1. In the given circuit.

Observation: Conclusion: Evaluation:

  1. Given a Boolean expression F = x’y + yz’ (x’+z’). Draw the logic circuit.
  2. Given a logic circuit. Determine the Boolean expression.

Eastern Visayas State University College of Engineering Electronics Engineering Department Logic Circuits and Switching Theory Expirement # 3

Universal Logic Gates

Name: ____________________________ _____________________________


Objectives: At the end of this exercise, the students are expected to:  Identify the different types of Universal Logic Gates.  Identify the different functions and characteristics of Universal Logic Gates.  Learn how to test Universal Logic Gates. Materials Required: 1 Power Supply (w/5V DC source) Connecting Wires 1 Breadboard 1 7400 NAND Gate 1 7402 NOR Gate LED Principles: Besides inverters, many gates perform inversion as a normal part of their function. The simplest inverting gates are NAND and NOR Gates.

  1. Record the results on Truth Table 1. Testing NOR Gate:
  2. Connect the given circuit.
  3. Using the Logic Probe, test for the logic output (X, Y, Z).
  4. Record the results on Truth Table 2. Note: Never supply the circuit with more than 5V DC source. Data and Results:

Observation: Conclusion:

Eastern Visayas State University College of Engineering Electronics Engineering Department Logic Circuits and Switching Theory Expirement # 4

Coincidence Logic Gates

Name: ____________________________ ______________________________


Objectives: At the end of this exercise, the students are expected to:  Identify the different types of Coincidence Logic Gates.  Identify the different functions and characteristics of Coincidence Logic Gates.  Learn how to test Coincidence Logic Gates. Materials Required: 1 Power Supply (w/5V DC source) Connecting Wires 1 Breadboard 1 7486 EX-OR Gate 1 74266 EX-NOR Gate LED Principles: An Exclusive- OR gate (EX- OR) is a 2-input

gate whose output is the same as an OR gate except that it produces a 0 output if both inputs are 1. The symbol for EX-OR is used to indicate the EX-OR operation. It produces a HIGH output if when the two inputs are unequal. The complement of the EX-OR gates is the Exclusive-NOR gate (EX-NOR), a gate whose output is 1 whenever its two inputs are equal. The symbol for EX-NOR is used to indicate equality. Procedure: Testing EX-OR Gate:

  1. Connect the given circuit.
  2. Test for the logic output (X, Y, Z).

Observations: Conclusion: Evaluation:

_1. Construct an XOR circuit using the basic gates.

  1. Construct an XNOR circuit using the basic gates._

Eastern Visayas State University Tacloban City Electronics Engineering Department Experiment #

Digital Logic Gates Circuit Design

Name: _____________________________ ______________________________


Objectives: At the end of the exercise, the students are expected to:  Identify the required logic gates for the circuit design expressions  Deduce the circuit designs based on given equations  Be able to implement the circuit design Material Required: 1 Power Supply (w/5V DC source) Connecting Wires 1 Breadboard 1 7404 Inverter Gate 2 7408 AND Gate 1 7432 OR Gate LED Procedure: For the given circuit diagrams, implement the corresponding circuit designs and test for the value of the outputs. Tabulate the result in the table provided.