How to convert decimal to binary?

Divide the decimal number by 2 repeatedly and collect remainders from bottom to top. Our calculator does this instantly.

What is hexadecimal used for?

Hexadecimal (base 16) is widely used in computing to represent memory addresses, color codes (e.g., #FF5733), and assembly language because it compacts binary data into readable form.

Computer Science & Digital Electronics

Universal Base Converter

Convert between decimal, hexadecimal, octal, and binary in real time. Type into any field – all others update instantly.

Decimal (Base 10)

Everyday numbers (0-9)

Hexadecimal (Base 16)

0‑9, A‑F (e.g., FF = 255)

Octal (Base 8)

Digits 0‑7

Binary (Base 2)

0s and 1s only

BITS

Machine Code (Binary representation)

0000

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📖 Frequently Asked Questions

Q: How do I convert decimal to binary manually?

A: Repeatedly divide by 2 and collect remainders (from last to first). For example, 13 decimal → 1101 binary.

Q: Why is hexadecimal so common in programming?

A: Each hex digit represents exactly 4 bits, making it a compact and readable representation of binary data (e.g., color codes #RRGGBB).

Q: Can I convert negative numbers?

A: This converter handles non‑negative integers. For signed values, consider two's complement representation.

🧠 Common Use Cases

Debugging memory addresses (hex → decimal).
Setting file permissions (chmod 755 → binary).
Understanding IP subnet masks (binary).
Converting colour codes (hex to RGB).
Learning computer architecture basics.

Tip: Use the reset button to quickly clear all fields and start a new conversion.