Digital Electronics Project Presentation PDF

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ScenicComprehension4314

Uploaded by ScenicComprehension4314

Capiz State University

John Vincent C. Manalo, Jeremiah Bulaquina

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digital electronics logic gates boolean algebra computer science

Summary

This is a presentation on digital electronics, covering various aspects of logic gates, such as AND, OR, NOT, NAND, NOR, EX-OR, and EX-NOR gates. It also discusses Boolean algebra and Karnaugh maps for simplifying Boolean expressions, and their use in digital circuit design.

Full Transcript

Digital Electronics By Group 2 Group Member John Vincent C. Manalo Jeremiah Bulaquina Introduction Understanding digital logic gates is a major prerequisite to learning how all digital electronic circuits work. Basically, there are three types of electronic “logic gates:” th...

Digital Electronics By Group 2 Group Member John Vincent C. Manalo Jeremiah Bulaquina Introduction Understanding digital logic gates is a major prerequisite to learning how all digital electronic circuits work. Basically, there are three types of electronic “logic gates:” the AND gate, the OR gate, and the NOT gate. (Actually, there are a few more types of gates, which we will cover later in this article.) Just remember, logic gates are the main building blocks of all digital logic circuits. Digital Logic Digital logic is the backbone of modern electronic systems, including computers, smartphones, and digital circuits. It uses binary values (0s and 1s) to perform logical operations through logic gates like AND, OR, and NOT. These gates form complex circuits that process and store data. Digital logic is essential in microprocessors, memory devices, and automation systems, enabling accurate and high-speed operations in various technologies. THE AND GATE THE OR GATE THE NOT GATE (INVERTER) THE NAND GATE THE NOR GATE THE EX-OR GATE THE EX-NOR GATE Logic Gates Logic gates are the most basic components of a digital circuit. They have two or more inputs and they produce one output. Logic gates are basically of three types: Basic gates: In this type of gates, we can represent the boolean functions either in the sum of products form or in the product of sums form. The basic logic gates are AND, OR and NOT gates. Universal gates: These are the logic gates using which all other gates can be constructed. NAND and NOR are the two universal gates. Special gates: EX-OR and EX-NOR are the two special gates as they are the two special cases of OR and NOR gates. Combinational Logic Circuit The combinatorial logic circuit is made up of logic gates whose output is determined by the present input only. The output does not depend on the previous outputs of the circuit. This type of circuit is widely used in the electronic industries for various purposes. The circuits are designed by combining the different logic gates. Two types of combinatorial circuits are encoder and decoder. Other examples include half adder, full adder, and multiplexer. Combinational Logic Circuit Boolean Algebra BOOLEAN LOGIC (or Boolean algebra) is a complete system for logical mathematical operations. It was developed by the English Mathematician and philosopher George Boole in the 1840s. Boolean logic has many applications in electronics, computer hardware and software, and is the basis of all modern digital electronics. These are examples of Boolean operations: 1 or 0 = 1 1 and 0 =0 not 0 =1 1 and 1= 1 0 or 0 = 0 not 1 = 0 Karnaugh Maps A Karnaugh map (K-map) is a visual method used to simplify the algebraic expressions in Boolean functions without having to resort to complex theorems or equation manipulations. A K-map can be thought of as a special version of a truth table that makes it easier to map out parameter values and arrive at a simplified Boolean expression. Karnaugh Maps A K-map is best suited for Functions with two to four variables. Although K-maps can be used for functions with five or six variables, the process is more difficult. Using K- maps for functions with seven or more variables is extremely difficult -- if not impossible. Karnaugh Maps Conclusion Digital logic is the foundation of modern electronic systems, enabling the efficient processing and storage of data. At its core, logic gates such as AND, OR, and NOT, along with universal and special gates, form the building blocks of digital circuits. Combinatorial logic circuits, including encoders, decoders, and adders, play a crucial role in various applications. Boolean logic, pioneered by George Boole, provides the mathematical framework for digital computation, while Karnaugh maps simplify Boolean expressions for optimized circuit design. Understanding these concepts is essential for advancing in digital electronics, computer architecture, and automation technologies. Thank You

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