EasyUnitConverter.com

Number Converter

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10
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16

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What is a Number Converter?

A number system converter is a tool that converts values between binary (base-2), decimal (base-10), hexadecimal (base-16), and octal (base-8) number systems. It is essential for programming, computer science, digital electronics, and understanding how computers store and process data.

How to Convert Number Units

Enter a number in any supported base (binary, decimal, hex, or octal) and the converter will instantly show the equivalent value in all other bases. Use the popular links below for specific conversions like decimal to binary or hex to decimal.

Number Conversion Formulas

Decimal 10 = Binary 1010 = Hexadecimal A = Octal 12 Decimal 255 = Binary 11111111 = Hexadecimal FF = Octal 377 Decimal 100 = Binary 1100100 = Hexadecimal 64 = Octal 144

History of Number Measurement

The decimal system originated from Hindu-Arabic mathematicians around the 6th century. Binary was described by Leibniz in 1703 and became the foundation of digital computing. Hexadecimal became dominant in computing because each hex digit represents exactly four binary bits, ideal for memory addresses and color codes.

About This Number Converter

This number converter supports binary (base-2), decimal (base-10), hexadecimal (base-16), and octal (base-8) number systems. It uses base-change algorithms rather than multiplication factors, making it different from standard unit converters.

Frequently Asked Questions

How do I convert decimal to binary?

Repeatedly divide the decimal number by 2 and record the remainders. Read the remainders from bottom to top. For example, 10 ÷ 2 gives remainders 0,1,0,1, so decimal 10 = binary 1010.

How do I convert hex to decimal?

Multiply each hex digit by 16 raised to its position power (starting from 0 on the right). For example, hex FF = 15×16¹ + 15×16⁰ = 240 + 15 = 255.

Why do computers use binary?

Computers use binary because electronic circuits have two stable states (on/off, high/low voltage). This makes binary the most reliable and efficient number system for digital hardware.

What is hexadecimal used for?

Hexadecimal is used in programming for memory addresses, color codes (e.g., #FF0000 for red), MAC addresses, and any context where binary would be too long. Each hex digit represents exactly 4 binary bits.

How do I convert binary to hex?

Group the binary digits into sets of 4 from right to left, then convert each group to its hex equivalent. For example, binary 11111111 = 1111 1111 = F F = hex FF.

Metric Conversion Factor Tables for Number Converter

Units to convertMultiply By The NumberConvert as Unit
Decimal 00000Binary
Decimal 10001Binary
Decimal 20010Binary
Decimal 30011Binary
Decimal 40100Binary
Decimal 50101Binary
Decimal 60110Binary
Decimal 70111Binary
Decimal 81000Binary
Decimal 91001Binary
Decimal 10AHexadecimal
Decimal 11BHexadecimal
Decimal 12CHexadecimal
Decimal 13DHexadecimal
Decimal 14EHexadecimal
Decimal 15FHexadecimal

Numberconverters & it's abbreviations

UnitAbbreviationUnitAbbreviationUnitAbbreviation
binarybin base-2decimaldec base-10hexadecimalhex base-16
octaloct base-8
Complete list of Number conversion units and its conversion.