Page 26 - iPro_trackGPT_V5_Class7
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DECIMAL TO BINARY CONVERSION
To convert a decimal number to binary, follow these steps:
✶ Divide the decimal number by 2 (the base of the binary system).
✶ Record the quotient and the remainder.
✶ Divide the quotient obtained by 2 again, noting the new quotient and remainder.
✶ Continue this process until the quotient is less than 2.
✶ 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 number.
10
2 2 6
2 1 3 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 6 4
2 3 2 – 0 The decimal number system
2 1 6 – 0 is based on ten digits, likely
influenced by the number of
2 8 – 0 (64) = (1000000)
10 2 human fingers.
2 4 – 0
2 2 – 0
1 – 0
BINARY TO DECIMAL CONVERSION
To convert a binary number into a decimal number, follow the given steps:
✶ Start from the right-most digit known as the LSD before the fractional point, and move
towards left.
✶ 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.
✶ Add up all the resulting products. You will get your decimal number.
The following examples will help you understand the conversion.
24 TrackGPT iPRO (V5.0)-VII

