Page 1061 - Basic Electrical Engineering
P. 1061
16.2 NUMBER SYSTEMS
A number system is a set of rules of symbols used to represent numbers.
There are number systems like decimal, binary, octal, and hexadecimal. The
knowledge of number systems is very important for the design of digital
circuits and systems.
16.2.1 Decimal Number System
We are familiar with the decimal number system which uses 0, 1, 2, 3, 4, 5, 6,
7, 8, 9, i.e., ten symbols. It is a base-10 counting because the total number of
symbols used is ten. When we represent a number, say 752 and 907, the
positional values of the numbers and their decimal equivalent would be.
A decimal number of, say, 692 is represented as
2
1
Decimal 692 = 6×10 + 9×10 + 2×10 0
A decimal number of say, 824.48 is represented as
1
6
–1
2
Decimal 824.48 = 8×10 + 2×10 + 4×10 ∙ 4×10 + 8×10 –2
The multiples of 10 used are called weighted values. The decimal number
824.48 is represented as (824.24) as 10 is the base.
10
