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The place value of the digits according to position and weight is as follows:
Position 2 1 0 –1 –2
.
Weight 8 2 8 1 8 0 8 –1 8 –2
Hexadecimal Number System
The Hexadecimal Number System has a base of 16 and uses 16 symbols: 0 to 9 and A to F. The letters
A to F mean 10 to 15. Each place in a hexadecimal number represents a power of 16. For example,
(764)₁₆ is a hexadecimal number. Hexadecimal helps make long binary numbers easier to read.
The place value of the digits according to position and weight is as follows:
Position 2 1 0 -1 -2
.
Weight 16 2 16 1 16 0 16 -1 16 -2
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 by 2 again, and note the resulting quotient and remainder.
Step 4 Repeat the procedure until you reach a quotient of 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 number.
10
2 26
2 13 – 1 The binary equivalent of (26) is 11010
10
2 6 – 0 In other words, (26) = (11010) 2
10
2 3 – 1
1 1
Start listing the last quotient and all the remainders from here.
Example 2: Convert the (64) to binary number.
10
2 64 – 0
2 32 – 0
2 16 – 0
2 8 – 0 (64) = (1000000)
10 2
2 4 – 0
2 2 – 0
1
24 iPro (Ver. 4.1)-VII

