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Octal and hexadecimal (hex) are numeral systems used to represent numbers, particularly in computer science and digital systems.
Octal
Octal, also known as base-8, uses eight symbols (0-7) to represent numbers. Each digit in an octal number represents a group of three binary digits (bits). Octal was historically used in computing systems, but it’s less common today.
Hexadecimal
Hexadecimal, or hex, is a base-16 numeral system that uses sixteen symbols (0-9 and A-F) to represent numbers. Each digit in a hex number represents a group of four bits. Hex is widely used in computer programming and digital systems due to its convenient representation of binary data.
How to convert octal to hex
Convert every octal digit to 3 binary digits, with the following table:
| Octal | Binary |
| 0 | 000 |
| 1 | 001 |
| 2 | 010 |
| 3 | 011 |
| 4 | 100 |
| 5 | 101 |
| 6 | 110 |
| 7 | 111 |
convert every 4 binary digits from bit0 to 1 hex digit, with the following table:
| Binary | Hex |
| 0000 | 0 |
| 0001 | 1 |
| 0010 | 2 |
| 0011 | 3 |
| 0100 | 4 |
| 0101 | 5 |
| 0110 | 6 |
| 0111 | 7 |
| 1000 | 8 |
| 1001 | 9 |
| 1010 | A |
| 1011 | B |
| 1100 | C |
| 1101 | D |
| 1110 | E |
| 1111 | F |
See Also
FAQs on Octal to Hex converter
How do you convert octal to hexadecimal?
To convert octal to hexadecimal, follow these steps: Convert the octal number to binary. Group the binary digits in sets of 4 (starting from the right). If the last group has fewer than 4 digits, add leading zeros. Convert each group of 4 binary digits to its hexadecimal equivalent. Combine the hexadecimal groups to get the final hexadecimal representation.
What is 123 octal to hexadecimal?
Convert 123 octal to binary: 001 010 011 Group the binary digits: 0010 1001 Convert each group to hexadecimal: 29 So, 123 octal is equivalent to 29 hexadecimal.
What is 651.124 octal in hexadecimal?
Convert the integer part (651) to binary: 110 101 001 Convert the fractional part (0.124) to binary: 001 010 010 Combine both parts: 110101001.001010010 Group the binary digits: 1101 0100 1001.0010 1001 0010 Convert each group to hexadecimal: D492.2924 So, 651.124 octal is equivalent to D492.2924 hexadecimal.
How do you convert 01011.1011 to decimal?
Convert the integer part (01011) to decimal: 11 (binary to decimal). Convert the fractional part (0.1011) to decimal: 0.625 (binary to decimal). Add both parts: 11 + 0.625 = 11.625 So, 01011.1011 binary is equivalent to 11.625 decimal.
What is 4294967295 hexadecimal?
4294967295 hexadecimal is the representation of the maximum 32-bit unsigned integer value. It is often used in computing as the highest value that can be stored in a 32-bit memory space.
How do I convert from octal?
To convert from octal to another base, such as decimal or hexadecimal, follow these general steps: Convert the octal number to binary. Convert the binary number to the desired base (decimal or hexadecimal) using appropriate grouping and conversion methods.
Why octal and hexadecimal?
Octal and hexadecimal are used in computing for several reasons: Compact Representation: Octal and hexadecimal provide more compact representations for binary data, making them easier to read and work with. Binary Conversion: They simplify the conversion between binary and other bases, aiding programmers and engineers. Memory Addresses: Hexadecimal is particularly useful for representing memory addresses as it maps more directly to the underlying binary storage. Bit Manipulation: In low-level programming, these bases are helpful for bit manipulation and bitwise operations. Error Detection: Hexadecimal is used in CRC (Cyclic Redundancy Check) calculations and error detection.
