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01Binary · Decimal · Hex · Octal · BCD · Gray Code

Number System Converter

Convert between Binary, Decimal, Hexadecimal, Octal, BCD, and Gray Code instantly. Also convert ASCII text to binary and back.

Base 10 Enter Decimal Number
Please enter a valid decimal number (0-9).
Base 2 Enter Binary Number
Please enter a valid binary number (0s and 1s only).
Base 16 Enter Hexadecimal Number
Please enter a valid hex number (0-9, A-F).
Base 8 Enter Octal Number
Please enter a valid octal number (0-7 only).
📝 Text / ASCII → Binary
🔢 Binary → Text / ASCII
Binary Output
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Text Output
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Number Systems — Conversion Table (0-15)
Decimal Binary Octal Hex BCD Gray Code
Frequently Asked Questions
How do I convert binary to decimal?
To convert binary to decimal, multiply each binary digit by 2 raised to the power of its position (from right, starting at 0), then sum all values. Example: 1010 = 1×2³ + 0×2² + 1×2¹ + 0×2⁰ = 8+0+2+0 = 10. Use the step-by-step button to see this for any number.
What is hexadecimal (hex)?
Hexadecimal is a base-16 number system using digits 0-9 and letters A-F. It is widely used in computer science, web colors (#FF5733), memory addresses, and color codes. One hex digit represents exactly 4 binary bits.
What is Gray Code?
Gray Code (also called reflected binary code) is a binary sequence where only one bit changes between consecutive values. It is used in digital circuits, rotary encoders, and error correction to prevent glitches during transitions.
What is BCD (Binary Coded Decimal)?
BCD represents each decimal digit with its 4-bit binary equivalent. For example, decimal 25 in BCD is 0010 0101 (2=0010, 5=0101). It is used in digital clocks, calculators, and financial systems where decimal accuracy is critical.
How do I convert text to binary?
Each character has an ASCII value (e.g., 'A' = 65, 'a' = 97). To convert to binary, find the ASCII value of each character and convert it to 8-bit binary. Use the "Text ↔ Binary" tab above to convert any text to binary and back.
What is the difference between Octal and Binary?
Binary (Base 2) uses only 0 and 1. Octal (Base 8) uses digits 0-7. One octal digit represents exactly 3 binary bits. Octal was historically used in older computer systems and Unix file permissions (e.g., chmod 755).
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