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Decimal Converter

Convert Decimal to Hex and more • 4 conversions

Result

0

1 0
Conversion Formula
1 = ---
Quick Reference
1 = 1
10 = 10
50 = 50
100 = 100
500 = 500
1000 = 1000

Unit Explanations

Decimaldec

Source Unit

The decimal system, also known as the base-10 system, is a method of representing numbers using ten symbols: 0 through 9. It allows for the expression of both whole numbers and fractions, where the position of each digit determines its value based on powers of ten. The decimal point serves as a delimiter between the whole and fractional parts, enabling precise calculations and representations of values. This system is foundational in mathematics and is used universally in finance, science, and everyday counting.

N = d_n * 10^n + d_{n-1} * 10^{n-1} + ... + d_1 * 10^1 + d_0 * 10^0 + d_{-1} * 10^{-1} + ... + d_{-m} * 10^{-m}

Current Use

Today, the decimal system is the predominant numbering system used worldwide across various fields, including mathematics, finance, engineering, and science. It facilitates straightforward calculations and is integral to computer programming, where binary and decimal conversions are essential. Its straightforwardness allows for easy comprehension of mathematical concepts, making it a core element of education in mathematics.

Fun Fact

The concept of zero, essential to the decimal system, was developed in India around the 5th century.

Hexadecimalhex

Target Unit

The hexadecimal numeral system, or base-16, is a positional numeral system that uses sixteen distinct symbols. The symbols include the digits 0-9 to represent values zero to nine, and the letters A-F (or a-f) to represent values ten to fifteen. This system is used extensively in computing and digital electronics because it provides a more human-friendly representation of binary-coded values, making it easier to read and write large binary numbers. Each hexadecimal digit corresponds to four binary digits (bits), forming a compact and efficient representation of binary data.

N = d0 * 16^0 + d1 * 16^1 + d2 * 16^2 + ... + dn * 16^n

Current Use

Hexadecimal is widely used in computing, particularly in programming and web development. It is essential for defining colors in HTML and CSS, where color codes are specified using hexadecimal notation (e.g., #FF5733). Additionally, hexadecimal is utilized in memory addressing, assembly language, and debugging, as it provides a clearer representation of binary data. The compactness of hexadecimal helps programmers visualize and manipulate large binary numbers with ease.

Fun Fact

Hexadecimal is often used in computer programming to simplify binary code, as one hexadecimal digit corresponds to four binary digits.

Decimals:
Scientific:OFF

Result

0

1
0
Conversion Formula
1 = ...
1→1
10→10
100→100
1000→1000

All Numbers Conversions

6 converters
Binary
Decimal
Binary
Hex
Decimal
Binary
Decimal
Hex
Hex
Binary
Hex
Decimal

Popular Conversions

Meter → FootKilometer → MileCelsius → FahrenheitKilogram → PoundLiter → GallonSq Meter → Sq FootKm/Hour → Mile/HourPascal → PSI

📐Conversion Formula

= × 1.00000

How to Convert

To convert to , multiply the value by 1.00000. This conversion factor represents the ratio between these two units.

Quick Examples

1
=
1.000
10
=
10.00
100
=
100.0

💡 Pro Tip: For the reverse conversion ( → ), divide by the conversion factor instead of multiplying.

dec

Decimal

numbers • Non-SI

Definition

The decimal system, also known as the base-10 system, is a method of representing numbers using ten symbols: 0 through 9. It allows for the expression of both whole numbers and fractions, where the position of each digit determines its value based on powers of ten. The decimal point serves as a delimiter between the whole and fractional parts, enabling precise calculations and representations of values. This system is foundational in mathematics and is used universally in finance, science, and everyday counting.

History & Origin

The decimal system's roots can be traced back to ancient civilizations, including the Egyptians and Babylonians, who utilized base-10 counting methods. However, the modern decimal system was significantly influenced by the work of Indian mathematicians and was later transmitted to Europe through Arabic scholars, who introduced the idea of place value and the concept of zero. This adoption transformed mathematics and commerce, facilitating advanced calculations.

Etymology: The term 'decimal' originates from the Latin word 'decimus', meaning 'tenth'. This highlights its base-10 structure, which is foundational to its function in arithmetic.

500: Indian mathematicians develop ...1202: Fibonacci introduces the decim...1585: Simon Stevin publishes 'De Thi...

Current Use

Today, the decimal system is the predominant numbering system used worldwide across various fields, including mathematics, finance, engineering, and science. It facilitates straightforward calculations and is integral to computer programming, where binary and decimal conversions are essential. Its straightforwardness allows for easy comprehension of mathematical concepts, making it a core element of education in mathematics.

FinanceEducationEngineeringScience

💡 Fun Facts

  • •The concept of zero, essential to the decimal system, was developed in India around the 5th century.
  • •The decimal system is used universally in scientific research, making it easier to share and compare findings across borders.
  • •The longest decimal expansion of pi has over 31 trillion digits, showcasing the complexity of decimal representation.

📏 Real-World Examples

23.99 USD
Calculating the cost of groceries
12.5 cm
Measuring length
2.75 kg
Weight of a package
8.3 L/100km
Fuel consumption
36.6 °C
Temperature reading

🔗 Related Units

Fraction (Fractions can be expressed as decimals (e.g., 1/2 = 0.5).)Binary (Binary is a base-2 system and can be converted to decimal (e.g., 1010 = 10 in decimal).)Percentage (Percentages can be converted to decimals (e.g., 50% = 0.5).)Integer (Integers are whole numbers represented in the decimal system (e.g., 5 is a decimal integer).)
hex

Hexadecimal

numbers • Non-SI

Definition

The hexadecimal numeral system, or base-16, is a positional numeral system that uses sixteen distinct symbols. The symbols include the digits 0-9 to represent values zero to nine, and the letters A-F (or a-f) to represent values ten to fifteen. This system is used extensively in computing and digital electronics because it provides a more human-friendly representation of binary-coded values, making it easier to read and write large binary numbers. Each hexadecimal digit corresponds to four binary digits (bits), forming a compact and efficient representation of binary data.

History & Origin

The hexadecimal system has roots in ancient numeral systems, with references to base-16 counting found in various cultures. Its modern usage, however, is closely tied to the development of computing and digital systems. In the mid-20th century, as computers became more prevalent, hexadecimal emerged as a practical shorthand for binary numbers due to its compactness. It gained popularity in programming languages and computing documentation, facilitating easier interaction with machine code and memory addresses.

Etymology: The word 'hexadecimal' is derived from the Greek prefix 'hex' meaning six and the Latin 'decem' meaning ten, collectively indicating a base of sixteen.

1959: First significant use in compu...

Current Use

Hexadecimal is widely used in computing, particularly in programming and web development. It is essential for defining colors in HTML and CSS, where color codes are specified using hexadecimal notation (e.g., #FF5733). Additionally, hexadecimal is utilized in memory addressing, assembly language, and debugging, as it provides a clearer representation of binary data. The compactness of hexadecimal helps programmers visualize and manipulate large binary numbers with ease.

Information TechnologyWeb DevelopmentDigital Electronics

💡 Fun Facts

  • •Hexadecimal is often used in computer programming to simplify binary code, as one hexadecimal digit corresponds to four binary digits.
  • •The hexadecimal system is also used in color codes for web design, allowing for over 16 million possible colors.
  • •Hexadecimal numerals are commonly prefixed with '0x' to denote that they are in base-16.

📏 Real-World Examples

#FF5733 hex
Color representation in web design
0x1A3F hex
Memory address in programming
11110000 binary
Binary to hexadecimal conversion
0xC0A80001 hex
Data encoding in networking
0x41 hex
ASCII representation

🔗 Related Units

Binary (Hexadecimal is a shorthand for binary, where each hex digit represents four binary digits.)Decimal (Hexadecimal values can be converted to decimal, where each hex digit's value is multiplied by 16 raised to its position.)Octal (Both octal and hexadecimal systems are positional numeral systems but use base-8 and base-16, respectively.)ASCII (Hexadecimal is often used to represent ASCII characters in programming and data encoding.)

Related Numbers Conversions

Explore more numbers conversions for your calculations.

→Binary to Decimal→Binary to Hex→Decimal to Binary→Hex to Binary→Hex to Decimal

Frequently Asked Questions

How do I convert to ?▼

To convert to , multiply your value by 1. For example, 10 equals 10 .

What is the formula for to conversion?▼

The formula is: = × 1. This conversion factor is based on international standards.

Is this to converter accurate?▼

Yes! MetricConv uses internationally standardized conversion factors from organizations like NIST and ISO. Our calculations support up to 15 decimal places of precision, making it suitable for scientific, engineering, and everyday calculations.

Can I convert back to ?▼

Absolutely! You can use the swap button (⇄) in the converter above to reverse the conversion direction, or visit our to converter.

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