Page 5 - Code Craft Computer-7
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About Number
1
System
Core Concepts
On completion of this chapter you will be able to know:
¨ Number System ¨ Decimal to Binary Conversion
¨ Binary to Decimal Conversion ¨ Operations on Binary Numbers
Warm Up #Critical Thinking
Can you open the lock using these clues?
682 One digit is right
and in its place
614 One digit is right but
in the wrong place
206 Two digits are right but
both are in the wrong place
738 All digits are wrong ???
380 One digit is right but
in the wrong place
The lock is ____________.
A computer takes data from a user and produces result as information. Although the words data
and information are often used interchangeably, but there is an important distinction between the
two words. In the strict sense, data consists of the raw numbers that computers organise to
produce information.
NUMBER SYSTEM
A number system is a collection of numbers used to describe various quantities. There are many
number systems in existence. Consider a clock, Clocks have 24 hours, each hour is composed of
60 minutes. Each minute is in turn composed of 60 seconds. When you learnt to count, you used
the numbers, like 1, 2, 3, etc. Similarly, computers also have their own number system, known as
the binary number system.
The digital computer represents all kinds of data and information like audio, graphics, video, text
and numbers in binary form. The total number of digits used in a number system is called its base
or radix . Therefore, when someone says that they are working with number system of radix 2, it
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