There are mainly four number systems which are used in digital electronics platform.
1. Decimal Number System (Base: 10, Numbers: 0-9)
2. Binary Number System (Base: 2, Numbers: 0-1)
3. Octal Number System (Base: 8, Numbers: 0-7)
4. Hexadecimal Number System (Base: 16, Numbers: 0-9, A-F)
Decimal to Binary Conversion:
In the successive division-by-2 method, the given decimal integer number is successively divided by 2 till the quotient is 0.
In the successive multiplication-by-2 method, the given decimal fraction and the subsequent fractions are successively multiplied by 2, till the fraction part of the product is 0 or till the desired accuracy is obtained.
Binary to Decimal Conversion:
Binary numbers may be converted to their decimal equivalents by the positional weights method.
In this method, each binary digit of the number is multiplied by its position weight (2^n, where n is the weight of the bit) and the product terms are added to obtain the decimal number.
GTU - Computer Engineering (CE) - Semester 3 - 3130704 - Digital Fundamentals - Fundamentals of Digital systems & Logic families - Common Number System, Decimal to Binary Conversion & Binary to Decimal Conversion
Digital Fundamentals PPTs are available here: http://www.darshan.ac.in/DIET/CE/GTU-Computer-Engineering-Study-Material
This video is recorded by Prof. Krunal Vyas (krunal.vyas@darshan.ac.in, +91-9601901005) at the Computer Engineering Department of Darshan Institute of Engineering & Technology, Rajkot as per GTU Syllabus.
Darshan Institute of Engineering & Technology, Rajkot is a leading institute offering undergraduate, graduate, and postgraduate programs in engineering. The Institute is affiliated to the Gujarat Technological University (GTU) and approved by the AICTE, New Delhi.
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