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所在平台: Udemy |
课程主页: https://www.udemy.com/course/learn-digital-system-design-module-1-from-basics/
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课程名称：《终极课程：数字系统设计（模块 1）》 课程概述： 本课程涵盖了基本数字系统的知识，包括数字系统的类型、转换、BCD码、格雷码、超过3码和二进制数据表示。课程将详细讲解布尔运算、与或运算（Sum Of Product, SOP）与积和运算（Product Of Sum, POS）、布尔定理以及逻辑门（如NAND、NOR）。 本课程还将涉及布尔表达式的简化方法，包括卡诺图（K-MAP）和表格法。课程主要内容包括： 1. **数字系统**：学习不同的数字系统、数字转换、格雷码、BCD码、超过3码以及二进制数据表示等。 2. **布尔代数**：了解布尔定理、SOP与POS、维恩图、对偶定理、德摩根定理、剩余定理和吸收定理。布尔代数的概念最初由乔治·布尔在其著作《逻辑的数学分析》中提出，并在其后续作品《思想法则的研究》中进一步扩展，其主要用途为计算机编程语言中的应用，同时在集合论和统计学中也有重要的数学意义。 3. **逻辑门**：掌握与门（AND）、或门（OR）、非门（NOT）、与非门（NAND）、或非门（NOR）、异或门（EX-OR）、同或门（EX-NOR）的功能，学习如何利用NAND和NOR门设计数字电路以及实现各种逻辑门。 4. **卡诺图（K-Map）**：学习如何使用卡诺图（包括2变量、3变量和4变量）来简化布尔表达式，K-map是一种以图示方式呈现的方法，可以在无需使用布尔代数定理和方程式操作的情况下简化布尔表达式。 通过该课程，学员将获得数字系统和布尔代数的基础知识，并掌握设计和简化数字电路的基本技能。
This Course deals with the basic number system ( types of number system, conversions, BCD code, Gray code, Excess-3 code and binary data representation). This Course Explains Boolean operations, Sum Of Product and Product Of Sum, Boolean theorems and Logic Gates(NAND,NOR).This course deals with Boolean expression simplification methods ( K-MAP and tabulation method )you will learn: 1. Number Systems, Conversions, Gray code, BCD code,Excess-3 code, Binary Data Representation, different Binary codes.2. Boolean Algebra: Boolean Theorems, SOP & POS, Venn diagrams, Duality Theorem, De-Morgan's Theorem, residue theorem, absorption theorem. ( The concept of Boolean algebra was first introduced by George Boole in his book, The Mathematical Analysis of Logic, and further expanded upon in his book, An Investigation of the Laws of Thought. Since its concept has been detailed, Boolean algebra's primary use has been in computer programming languages. Its mathematical purposes are used in set theory and statistics.)3. Logic Gates: AND,OR, NOT, NAND, NOR, EX-OR, EX-NOR Gates, Design of digital circuits using NAND gates and NOR Gates, Implementation of all the gates using NAND & NOR gates. ( Logic gates are the basic building blocks of any digital system. It is an electronic circuit having one or more than one input and only one output. The relationship between the input and the output is based on a certain logic ).4. K-Map( 2 - variable, 3 - variable, 4 - variable ). A Karnaugh map (K-map) is a pictorial method used to minimize Boolean expressions without having to use Boolean algebra theorems and equation manipulations. A K-map can be thought of as a special version of a truth table.
