Number System: An Introduction
ICSE · Class 7 · Computer Studies
Summary of Number System: An Introduction for ICSE Class 7 Computer Studies. Key concepts, important points, and chapter overview.
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Overview
Number systems are used to write and read numbers in different forms. A computer stores numbers, letters, and other characters in coded form and works internally in binary. Four number systems are commonly used with computers: decimal, binary, octal, and hexadecimal. Each system has a different base
Key Concepts
The decimal number system uses
The decimal number system uses the digits 0 to 9 and has base 10. A number such as (3435)10 has digits in different places, such as thousand's, hundre
The binary number system uses only
The binary number system uses only 0 and 1 and has base 2. A binary number such as (1101)2 contains only these two digits.
The octal number system uses digits
The octal number system uses digits from 0 to 7 and has base 8. Each octal digit has a unique 3-bit binary equivalent.
The hexadecimal number system uses digits
The hexadecimal number system uses digits 0 to 15, with 10 to 15 written as A to F, and has base 16. Each hex digit has a unique 4-bit binary equivale
A decimal number is divided repeatedly
A decimal number is divided repeatedly by 2 until the quotient becomes 0. The remainders are arranged from LSB to MSB to get the binary number. For ex
Learning Objectives
- Understand the meaning of decimal, binary, octal, and hexadecimal number systems.
- Recognise the base and digits used in each number system.
- Convert decimal numbers to binary, octal, and hexadecimal forms.
- Convert binary, octal, and hexadecimal numbers back to decimal form.
- Convert binary numbers to octal and hexadecimal form using grouping methods.
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