Hexadecimal to Octal

A Hexadecimal to Octal Converter is a digital tool designed to convert numbers from the hexadecimal system (base-16) into the octal system (base-8). While both hexadecimal (0–9, A–F) and octal (0–7) are numeral systems used in computer science and digital electronics, they represent values in different groupings of binary.

Since there's no direct mathematical formula between base-16 and base-8, the conversion is typically done via binary:

1. Convert hexadecimal to binary.
2. Convert binary to octal.

Conversion Principle:

Step-by-Step Process:

1. Convert Hex to Binary: Each hex digit is replaced by its 4-bit binary equivalent.
2. Group Binary in 3s: Regroup the binary into 3-bit chunks (right to left).
3. Convert Binary to Octal: Convert each 3-bit group into its octal value.

Example:

Hex: 2F

→ 2 = 0010, F = 1111

→ Binary = 00101111

→ Group: 000 010 111 1 → Add leading 0s → 000 010 111 111

→ Binary to Octal: 0 2 7 7 → Octal = 0277

Common Uses for Hexadecimal to Octal Conversion:

• System-Level Programming: Translates machine-level hex code into octal, often used in UNIX permissions.
• Embedded Systems: Converts memory addresses and instruction sets.
• Electronics & Hardware Debugging: Helpful in interpreting binary values compactly.
• Education: Reinforces understanding of binary, base-8, and base-16 systems.
• Software Development: Used in decoding hex-dumps, debugging tools, and memory visualization.

Key Features of Hexadecimal to Octal Converter:

• Binary-Based Accuracy: Uses binary as an intermediate to ensure precision.
• Supports Large Hex Values: Converts complex numbers with ease.
• Real-Time Output: Instant results with no delay.
• Fractional Support: Handles hexadecimal values with decimal points.
• Beginner Friendly: Simple UI for students, developers, and engineers.
• Compact & Copy-Ready Output: Clean output for immediate use in technical work.



This converter offers an efficient bridge between two compact numeric systems—hex and octal—frequently used in digital environments.

Enter the Hexadecimal Value:

Example: 1A3, FF, or 3B.4

Binary Conversion Happens Automatically:

The system converts each hex digit to 4-bit binary.

Binary to Octal is Displayed Instantly:

Final result is grouped and converted to octal format.

Use as Needed:

Ideal for software, networking, and electronic debugging.

Example 1: Hex: F

→ Binary: 1111

→ Group: 001 111 → Octal: 17

Example 2: Hex: 3A

→ 3 = 0011, A = 1010 → Binary: 00111010

→ Grouped Binary: 000 111 010

→ Octal = 072



Example 3 (with fraction): Hex: 2.C

→ 2 = 0010, .C = .1100

→ Binary: 0010.1100

→ Grouped: 000 010 .110 000 → Octal = 2.6

Hex

Binary

Octal

0

0000

0

1

0001

1

2

0010

2

3

0011

3

4

0100

4

5

0101

5

6

0110

6

7

0111

7

8

1000

10

9

1001

11

A

1010

12

B

1011

13

C

1100

14

D

1101

15

E

1110

16

F

1111

17

Steps to Convert Hexadecimal to Octal:

1. Convert each hex digit to its 4-bit binary equivalent.
2. Combine all binary groups into a single string.
3. Regroup binary into 3-bit sections (add padding if needed).
4. Convert each 3-bit group into octal.
5. Combine octal digits for the final result.