binary mumbers, ocatal numbers, Lecture notes of Number Theory

conversion of numbers in digital logic

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EEE058 Digital Electronics
Lecture 1
10/04/2019
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EEE058 Digital Electronics Lecture 1

Introduction

to

Digital

Electronics

Analog versus Digital

Analog systems process time-varying signals that can take on any value across a continuous range of voltages (in electrical/electronics systems).

  • (^) Digital systems process time-varying signals that can take on only one of two discrete values of voltages (in electrical/electronics systems). - (^) Discrete values are called 1 and 0 (ON and OFF, HIGH and LOW, TRUE and FALSE, etc.)

Representing Information Electronically

A light bulb has to represent 4 different information: Bulb off- no student inside Bulb 1/3 lit - 1 student inside Bulb 2/3 lit - 2 student inside Bulb Full lit - 3 student inside

  • (^) A light bulb has to represent 10 different information: - (^) Is it possible to differentiate the ten different light intensity? 10/04/

Representing Information Electronically

  • (^) “Analog electronics” deals with non-discrete values
  • (^) “Digital electronics” deals with discrete values

Benefits of Digital over Analog

Reproducibility

  • (^) Not effected by noise means quality
  • (^) Ease of design
  • (^) Data protection
  • (^) Programmable
  • Speed
  • (^) Economy

Digital Logic

  • (^) Number System

Number System

  • (^) A number system is a code that uses symbols to count the number of items. The most common and familiar number system is the decimal number system. The decimal number system uses the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. Thus, the decimal system uses 10 digits for counting the items.
  • (^) A binary system uses only two digits (0 and 1) for counting the items.

Binary Number System

Binary Number System

Binary Number System

Binary Number System

Binary Number System

Binary Number System