Page 14 - Digital Electronics by harish

Octal to hexadecimal conversion
The following procedure can be used for converting the octal number to binary number:

Step 1 : First convert the octal number to binary number
Step 2 : Then, convert the binary number to hexadecimal number (procedure already given)

Example: To convert the octal number 34.56 to binary number

Step 1 : 3 4 . 5 6 (Octal number)
Step 2 : 011 100 . 101 110 (Binary equivalent)
Step 3 : 0001 1100 . 1011 1000 (Group of 4-bits)
Step 4 : 1 C . B 8 (Hexadecimal number)

Therefore, 34.56 8 = 1C.B8 16

Hexadecimal to decimal conversion

i) Integer numbers

The given hexadecimal number can be converted to decimal number by using the following
procedure:

Step 1 : Write the hexadecimal number
Step 2 : Write the place value (weight) directly under the hexadecimal number
Step 3 : Multiply the hexadecimal number by the place value
Step 4 : Add the values to get the decimal number.

Example: To convert the hexadecimal number 8E6 to decimal number

Step 1 : 8 E 6 (Hexadecimal number)
Step 2 : 256 16 1 (Place value)
Step 3 : 2048 224 6 (Multiply)
Step 4 : 2278 (Add, to get the Decimal number)

Therefore, 8E6 16 = 2278 10

ii) Fractional numbers

The same procedure used for the integer numbers can be used for fractional numbers also.

Example: To convert the hexadecimal number 0.39 to decimal number

Step 1 : 3 9 (Hexadecimal number)
Step 2 : 0.0625 0.00390625 (Place value)
tep 3 : 0.18755 0.03515625 (Multiply)
Step 4 : 0.22270625 (Add, to get the Decimal number)

Therefore, 0.39 16 = 0. 0.22270625 10

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