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Digital Number Converter

Convert numbers between decimal, binary, hexadecimal, octal, Roman numerals, scientific notation, and more formats instantly.

About Digital Number Converter

Our Digital Number Converter is a comprehensive tool that allows you to convert numbers between various numeral systems and representations. Whether you're a programmer working with different bases, a student studying computer science, or anyone who needs to convert numbers between formats, this tool provides accurate conversions across 10 commonly used number formats.

The tool supports conversions between Decimal, Binary, Octal, Hexadecimal, Roman Numerals, Scientific Notation, Base32, Base64, ASCII Text, and BCD (Binary-Coded Decimal). All conversions are calculated with high precision and displayed instantly as you type.

Convert From

How to Use

1

Enter the Number Value

Type the number you want to convert in the "Number Value" field. You can enter integers, decimals, or text depending on the selected input format.

2

Select the Original Format

Choose the current format of your input value from the "From Format" dropdown. Options include Decimal, Binary, Octal, Hexadecimal, Roman Numerals, Scientific Notation, Base32, Base64, ASCII Text, and BCD.

3

Select the Target Format

Choose the format you want to convert to from the "To Format" dropdown. You can also use the "Swap Formats" button to quickly switch between the source and target formats.

4

View Results

Click "Convert" to see the result. The tool will display the converted value, conversion details, and all possible conversions from your original value to every supported format.

Common Conversions

Quick links to frequently used number conversions. Click any link to see the instant result.

255 Decimal to Hexadecimal
255 -> FF
1024 Decimal to Binary
1024 -> 10000000000
10101010 Binary to Decimal
10101010 -> 170
255 Decimal to Octal
255 -> 377
100 Decimal to Roman
100 -> C
2024 Decimal to Roman
2024 -> MMXXIV
16 Decimal to Binary
16 -> 10000
11111111 Binary to Hex
11111111 -> FF
42 Decimal to Base64
42 -> Kg==
65 Decimal to ASCII
65 -> A
256 Decimal to Hexadecimal
256 -> 100
1000 Decimal to Binary
1000 -> 1111101000
10000000 Binary to Decimal
10000000 -> 128
100 Decimal to Binary
100 -> 1100100
3.14159E+2 to Decimal
314.159
9999 Decimal to Roman
9999 -> MX̅C̅XC̅IX
64 Decimal to Octal
64 -> 100
127 Decimal to Binary
127 -> 1111111
77 Octal to Decimal
77 -> 63
A5 Hex to Decimal
A5 -> 165

Frequently Asked Questions

What numeral systems are supported?

Our converter supports 10 different number formats: Decimal (Base 10) - the standard number system, Binary (Base 2) - used in computing, Octal (Base 8) - used in Unix permissions, Hexadecimal (Base 16) - used in color codes and memory addresses, Roman Numerals - ancient Roman number system, Scientific Notation - used in science and engineering, Base32 and Base64 - encoding schemes, ASCII Text - character encoding, and BCD (Binary-Coded Decimal) - used in digital electronics.

How do I convert decimal to binary?

To convert decimal to binary, divide the decimal number by 2 and record the remainder. Continue dividing the quotient by 2 until it becomes 0. The binary representation is the remainders read in reverse order. Our converter does this automatically and instantly. For example, decimal 10 = binary 1010.

What is hexadecimal used for?

Hexadecimal (Base 16) is widely used in computing and digital systems. It uses digits 0-9 and letters A-F to represent values 0-15. Common uses include: HTML/CSS color codes (#FF5733), memory addresses in programming, representing binary data more compactly, and debugging low-level code. One hexadecimal digit represents exactly 4 binary digits.

How do Roman numerals work?

Roman numerals use letters to represent values: I=1, V=5, X=10, L=50, C=100, D=500, M=1000. Numbers are formed by combining these letters. When a smaller value appears before a larger one, it's subtracted (IV=4, IX=9). Otherwise, values are added (VI=6, XI=11). Our converter handles numbers from 1 to 3999.

What is scientific notation?

Scientific notation expresses numbers as a coefficient multiplied by 10 raised to an exponent. For example, 3.14 × 10² = 314. It's commonly written as 3.14E+2. This format is useful for representing very large or very small numbers compactly, and is standard in scientific and engineering calculations.

What is the difference between Base64 and ASCII?

ASCII is a character encoding that maps numbers 0-127 to characters (letters, digits, symbols). Each character corresponds to one byte. Base64 is an encoding scheme that converts binary data into ASCII text using 64 characters (A-Z, a-z, 0-9, +, /). It's commonly used to encode data in email attachments and URLs.

What is BCD (Binary-Coded Decimal)?

BCD is a system where each decimal digit (0-9) is represented by its own 4-bit binary value. For example, decimal 25 in BCD is 0010 0101 (2=0010, 5=0101). Unlike pure binary where 25 = 11001, BCD maintains the decimal structure. It's used in digital clocks, calculators, and financial applications where precise decimal representation is important.

Is this tool free to use?

Absolutely! Our Digital Number Converter is completely free to use, with no registration required. We believe in providing high-quality, accessible tools for students, developers, engineers, and anyone who needs to perform number conversions quickly and accurately.