1. NUMBER SYSTEM
Number systems are the technique to
represent numbers in the computer system
architecture, every value that you are saving
or getting into/from computer memory has
a defined number system.
2. TYPES OF NUMBER SYSTEM
Decimal Number System
Binary Number System
Octal Number System
Hexadecimal Number System
3. Decimal Number System
The decimal system is composed of 1
numerals or symbols (Deca means 10, that
is why this is called decimal system). These
10 symbols are 0,1,2,3,4,5,6,7,8,9 ; using
these symbols as digit as number, we can
express any quantity. The decimal system,
also called the base-10 system
4. BINARY NUMBER SYSTEM
Binary System, there are only two symbols
or possible digit values, 0 and 1. This base-2
system can be used to represent any
quantity that can be represented in decimal
or other number systems.
The Binary system is also a positional-value
system, wherein each binary digit has its
own value expressed as a power of 2.
5. OCTAL NUMBER SYSTEM
The Octal number system is very important
in digital computer work. The octal number
system has a base of eight, meaning that it
has eight unique symbols : 0,1,2,3,4,5,6,7 .
Thus each digit of an octal number can have
any value from 0 to 7.
The octal system is a positional value
system, wherein each octal digit has its own
value expressed as a power of 8.
6. HEXADECIMAL NUMBER SYSTEM
The Hexadecimal System uses base 16.
Thus, it has 16 possible digit symbols. It
uses the digits 0 –9 and the letter A, B, C, D,
E & F as the 16 digit symbols.
Hexadecimal is a positional value System
has its own value expressed as a power of
16.
8. DECIMAL TO BINARY
To converting decimal to Binary we use Repeated
division method. In this the no. is successively divide
by 2 and its remainder recorded.
For Example convert decimal to Binary- 4310
CONVERSIONS WITH BINARY
9.
10. DECIMAL FRACTION TO BINARY
To Convert a decimal fraction into binary,
multiply the decimal fraction by the base
that’s 2. Do until you will get zero at
fractional part.
CONVERSIONS WITH BINARY
11. BINARY TO DECIMAL
To convert Binary to Decimal, Add
positional weights or values with power of
2 start from right side.
For Example Convert 11011 to Decimal.
CONVERSIONS WITH BINARY
12.
13. BINARY FRACTION TO DECIMAL
To find binary fraction, take the sum of
products of each digit value (0 –1) and its
positional value. Starts from left side.
For Example convert 0.0101 to Decimal.
CONVERSIONS WITH BINARY
14. CONVERSIONS WITH OCTAL
Decimal To Octal
Octal To Decimal
Octal To Binary
Binary To Octal
15. DECIMAL TO OCTAL
A decimal integer can be converted to octal
by Repeated division method with division
factor of 8.
Example Convert 26610 to Octal
16.
17. OCTAL TO DECIMAL
It can easily converted into decimal by
multiplying each octal digit by its positional
weight.
For Example 3728 to Decimal
18.
19. OCTAL TO BINARY
To convert Octal To Binary is easy. This
converting is performed by converting each
octal digit to its 3 bit binary. Possible digits
converted as indicated in Table
20. BINARY TO OCTAL
Its simply the reverse of octal to binary.
Make the three bits group starting from left
side. Then convert it with using Table