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Octal to Hexadecimal Conversion
Octal to Hexadecimal Conversion
The conversion of octal to hexadecimal is very simple. We first convert the given octal number to binary and then the binary number to the hexadecimal.
The step-by-step process to convert a given octal number to its equivalent hexadecimal is given below −
Step 1 − Convert each digit of the given octal number to its equivalent binary of 3-bits.
Step 2 − Make groups of 4 bits each of the obtained binary number.
Step 3 − Convert each 4-bit binary group to its equivalent hexadecimal.
Let us see some examples to understand the conversion of octal to hexadecimal.
Example 1
Convert (742.35)8 to hexadecimal.
Solution
The conversion of given octal number to hexadecimal is explained below −
| Octal Digits | 3-bit Binary | 4-bit Binary | Hex Digits |
|---|---|---|---|
| 7 | 111 | 0001 | 1 |
| 4 | 100 | 1110 | E |
| 2 | 010 | 0010 | 2 |
| . | . | . | . |
| 3 | 011 | 0111 | 7 |
| 5 | 101 | 0100 | 4 |
Thus, the hexadecimal equivalent of the given octal number is (1E2.74)16.
Example 2
Convert (1523.742)8 to hexadecimal.
Solution
The following table demonstrates the conversion of given octal number to hexadecimal −
| Octal Digits | 3-bit Binary | 4-bit Binary | Hex Digits |
|---|---|---|---|
| 1 | 001 | 0000 | 0 |
| 5 | 101 | 0011 | 3 |
| 2 | 010 | 0101 | 5 |
| 3 | 011 | 0011 | 3 |
| . | . | . | . |
| 7 | 111 | 1111 | F |
| 4 | 100 | 0001 | 1 |
| 2 | 010 | 0000 | 0 |
Hence, the hexadecimal equivalent of the given octal number is (353.F1)16.
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