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The Ultimate : Digital System Design ( Module - 1)
Rating: 4.6 out of 5(93 ratings)
1,539 students
Last updated 4/2021
English

What you'll learn

  • Be able to learn the Basic concepts of Digital circuits.
  • Be able to learn the basic concept of binary number system, number system conversion Binary codes.
  • Be able to learn the basic concept of Boolean Algebra and Theorems.
  • Be able to learn the basic concept of logic gates and design of circuits.
  • Be able to learn the basic concept of K- Map and simplification methods.

Course content

5 sections60 lectures9h 37m total length
  • INTRODUCTION1:26
  • Number System introduction19:30
  • Number System Conversion ( Decimal to Others )11:05
  • Number System Conversion ( Others to Decimal )9:25
  • Number System Conversion ( Others to Others )7:02

    Learn how to convert numbers between bases by first translating any base to decimal, then converting decimal to the target base, with examples of binary, hex, and other bases.

  • Weighted Number System6:11

    Explore the weighted, positional concept of number systems, from decimal base ten to binary and octal, including base values, decimal point positions, and basics of conversion.

  • Binary Number System5:34
  • Binary to Octal conversion9:08
  • Number System Types8:22
  • Number System Conversion Problems9:26
  • Binary Arithmetical operations ( addition )11:32

    Learn how to perform addition across numeral systems, including decimal, base eight, and binary, using carry rules and standard procedures, and apply the same method to subtraction operations.

  • Binary Arithmetical operations ( SUB )15:58
  • Binary multiplication and division1:51
  • BCD (Binary Coded Decimal ) Code10:42
  • BCD Conversion6:56
  • Excess - 3 Code Conversion6:06
  • Gray code9:26
  • Binary to Gray conversion11:29

    Explain binary to gray conversion using the reflective gray code, highlighting single-bit transitions, cyclic sequencing, and the reflection principle for generating gray codes from binary numbers.

  • Compliments of number system12:06

    Explore how to compute complements in various bases by subtracting from the maximum possible number or using one's and sixteen's complements, with base-2, base-8, base-16, and decimal examples.

  • Problems on Binary number system9:30
  • Binary Data Representation12:15
  • Unsigned and Signed Binary Data Representation15:00
  • 1's compliment binary data representation13:09
  • 2's compliment binary data representation10:09

    Explore unsigned binary representation and signed two's complement encoding for positive and negative numbers, with conversions between binary and decimal and the typical 8-bit range of minus 128 to 127.

  • Problems on Binary Data Representation8:49
  • Floating Point Binary Data Representation5:04
  • Assignment - 1
  • Assignment - 1_Solutions

Requirements

  • Basic Electrical circuits concepts and Basic electronic devices

Description

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 .

Who this course is for:

  • Beginner Electronics and electrical
  • GATE ECE, GATE EEE, GATE CSE
  • Engineering Academics