Binary/Hex Converter — Convert Between Binary, Hex, Decimal & Octal Instantly

Whether you are debugging network packets, writing low-level code, configuring memory addresses, or studying computer science, you constantly need to convert between number bases. Our free Binary/Hex Converter lets you enter a number in any base — binary, decimal, hexadecimal, or octal — and instantly see it converted to all the others. Supports large numbers, bit length display, and byte grouping for readability. Everything runs locally in your browser.

What Are Number Systems?

Computers operate in binary (base 2) — every value is a sequence of 0s and 1s. Humans read decimal (base 10). Programmers often use hexadecimal (base 16) because it compactly represents binary data: one hex digit maps to exactly four binary digits. Octal (base 8) appears in Unix file permissions and some legacy systems.

Base	Name	Digits	Common Use
2	Binary	0, 1	Machine-level data, bitwise operations, flags
8	Octal	0–7	Unix file permissions (chmod 755)
10	Decimal	0–9	Everyday counting, most human-facing values
16	Hexadecimal	0–9, A–F	Memory addresses, color codes, network packets, debugging

Understanding these systems is fundamental to programming, networking, electronics, and security. Converting between them manually requires repeated division and multiplication — a slow process that invites mistakes. This tool handles the math instantly and accurately.

How to Use the Binary/Hex Converter

1. Select the input base — click Binary, Decimal, Hex, or Octal to set what format your input number is in.
2. Type your number — the tool validates input in real time (e.g., only 0s and 1s for binary, 0–9 and A–F for hex).
3. View conversions — all other bases appear instantly in the results card below.
4. Toggle Group Bytes — enable this to separate binary into 8-bit groups and hex into byte pairs for easier reading.
5. Copy any result — click the copy icon next to any converted value to copy it to your clipboard.
6. Switch bases — clicking a different base button converts your current value to that base automatically.

The bit count indicator shows how many bits are needed to represent your number, which is useful when working with fixed-width data types.

Key Features

Feature	Description
Four Number Bases	Binary, Decimal, Hexadecimal, and Octal
Live Conversion	Results update as you type with no button needed
Input Validation	Instant feedback for invalid characters per base
Bit Length Display	See how many bits your number requires
Group Bytes	Format binary in 8-bit groups and hex in byte pairs
BigInt Support	Handles very large numbers without overflow
One-Click Copy	Copy any converted value to clipboard instantly
Base Switching	Click a base to convert your current value to it

Common Use Cases

Debugging and Reverse Engineering

When inspecting memory dumps, network packets, or binary file formats, values appear in hex. You need to quickly convert 0x4A to decimal (74) or binary (01001010) to understand what the data represents.

Web Development and CSS Colors

Hex color codes like #FF6347 are actually three decimal values (255, 99, 71) encoded in hexadecimal. Understanding this relationship helps you mix colors precisely and debug styling issues.

Networking and System Administration

IP addresses, subnet masks, and port numbers often require base conversion. IPv6 addresses are written in hex, and understanding the binary representation helps with subnetting and CIDR calculations.

Embedded Systems and Electronics

Microcontroller registers, memory-mapped I/O addresses, and sensor data are all specified in hex or binary. Converting between representations is a daily task for firmware developers and hardware engineers.

Computer Science Education

Students learning about number systems, two's complement representation, and bitwise operations need constant practice with base conversion. This tool provides instant verification while learning.

Cryptography and Security

Cryptographic keys, hashes, and salts are represented in hex. Converting between hex and binary helps understand bit-level operations and verify data integrity.

Tips and Best Practices

• Use Group Bytes for readability. A 32-bit hex value like 4A6F686E is much easier to read as 4A 6F 68 6E when byte grouping is enabled. Similarly, binary becomes readable in 8-bit chunks.
• Remember hex-to-binary mapping. Each hex digit is exactly four binary digits: 0 = 0000, F = 1111, A = 1010. This makes manual spot-checks fast.
• Use the bit count to choose data types. If your number needs 9 bits, it fits in a 16-bit integer but not an 8-bit one. The bit length indicator helps you select the right type.
• Click a base to switch and convert. Instead of copying and pasting, click a different base button and your value is automatically converted.
• For signed numbers, remember two's complement. This tool shows unsigned representations. For negative numbers in binary, you need to apply two's complement rules separately.

Frequently Asked Questions

Is this Binary/Hex Converter free?

Yes. The tool is completely free with no usage limits, no registration, and no hidden costs.

How large a number can I convert?

The tool uses BigInt internally, which supports arbitrarily large integers. You can convert numbers with hundreds or even thousands of digits without overflow.

Does the tool support fractional numbers?

No. This converter handles integer values only. Fractional numbers in binary and hex follow different conventions (fixed-point or floating-point) that are beyond the scope of this tool.

What is the difference between binary and hex?

Binary uses base 2 (digits 0 and 1). Hexadecimal uses base 16 (digits 0–9 and A–F). One hex digit represents exactly four binary digits, making hex a compact way to write binary data. For example, the binary 111100001010 is F0A in hex.

Why does octal exist?

Octal (base 8) was common in early computing systems where word sizes were multiples of 3 bits. Today it survives mainly in Unix and Linux file permissions, where each permission group (read, write, execute) is represented by one octal digit — such as chmod 755.

Can I use this for IP address calculations?

For IPv4 addresses, you can convert individual octets between decimal and binary. For full subnet calculations with CIDR notation, a dedicated subnet calculator is more appropriate.