Page 13 - Touchpad_Plus_V3.2_Class 7
P. 13
NUMBER SYSTEM CONVERSION
Value of one number system can be converted into another. For example, decimal numbers can
be converted into binary numbers and vice-versa.
Decimal to Binary Conversion
To convert a decimal number into a binary number, follow these steps:
Step 1 Divide the decimal number by 2 (the base of the binary number system).
Step 2 Note down the quotient and the remainder.
Step 3 Divide the quotient obtained again by 2 and note down the resulting quotient and remainder.
Step 4 Repeat the procedure till you reach a quotient less than 2.
Step 5 Arrange the final quotient and all remainders in reverse order (from bottom to top) to
get the binary number.
Look at the given examples to understand the conversion better.
Example 1: Convert the (26) to binary.
10
2 26
2 13 0 The binary equivalent of (26) is 11010
10
2 6 1 In other words, (26) = (11010) 2
10
2 3 0
1 1
Start listing the last quotient and all the
remainders from here.
Example 2: Convert the (64) to binary number.
10
2 64
2 32 0
2 16 0
The decimal number system
2 8 0 is based on ten digits, likely
(64) = (1000000)
10 2
2 4 0 influenced by the number of
human fingers.
2 2 0
1 0
Binary to Decimal Conversion
To convert a binary number into a decimal number, follow these steps:
Step 1 Start from the right-most digit and count the power of 2 from right to left, starting
from 0.
Step 2 While doing so, multiply each digit by 2 raised to a particular power. The powers of
2 start from 0 and increase to 1, 2, and so on as you move towards left.
Number System 11

