Number Base Converter (Binary, Decimal, Hex, Octal)
Convert numbers across Binary (Base 2), Decimal (Base 10), Hexadecimal (Base 16), Octal (Base 8), and Roman Numerals. Free computer science base calculator.
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Number Systems Converter
FROMDecimal (Base 10) (DEC)
Quick:
TOHexadecimal (Base 16) (HEX)
10.00000
Quick values:
CONVERTED RESULTverified
10 Decimal (Base 10) = 10.00000 Hexadecimal (Base 16)
Exact Ratio: 1 DEC = 1 HEX
scienceMetric Units (Standard)
10.00000 DEC
10.00000 BIN
10.00000 HEX
10.00000 OCT
straightenUS & Imperial Units
10.00000 HEX
10.00000 OCT
10.00000 ROM
biotechSmall & Scientific
precision_manufacturingOther Common Units
10.00000 DEC
10.00000 BIN
10.00000 HEX
10.00000 OCT
VISUAL SIZE GUIDE
See How Big This Is
Visual comparison between DEC and HEX
🔢
Binary Bits & Hex Numbers
See how numbers look in computer bits (0s and 1s)
Base Conversion
8-Bit Binary (0 to 255)02^7
02^6
02^5
02^4
12^3
02^2
12^1
02^0
Decimal (10)10
Hexadecimal (16)0xA
Octal (8)12
Output10.00000
Number Systems Converters Directory
Search & Convert Number Systems Units
QUICK REFERENCE TABLE
Decimal (Base 10) to Hexadecimal (Base 16) Conversion Chart
| Decimal (Base 10) (DEC) | Hexadecimal (Base 16) (HEX) | Hexadecimal (Base 16) (Reverse) | Decimal (Base 10) Equivalent | Action |
|---|
| 0.1 DEC | 0.00000 HEX | 0.1 HEX | 0.00000 DEC | |
| 0.5 DEC | 0.00000 HEX | 0.5 HEX | 0.00000 DEC | |
| 1 DEC | 1.00000 HEX | 1 HEX | 1.00000 DEC | |
| 2 DEC | 2.00000 HEX | 2 HEX | 2.00000 DEC | |
| 5 DEC | 5.00000 HEX | 5 HEX | 5.00000 DEC | |
| 10 DEC | 10.00000 HEX | 10 HEX | 16.00000 DEC | |
| 20 DEC | 20.00000 HEX | 20 HEX | 32.00000 DEC | |
| 50 DEC | 50.00000 HEX | 50 HEX | 80.00000 DEC | |
| 100 DEC | 100.00000 HEX | 100 HEX | 256.00000 DEC | |
| 500 DEC | 500.00000 HEX | 500 HEX | 1,280.00000 DEC | |
| 1000 DEC | 1,000.00000 HEX | 1000 HEX | 4,096.00000 DEC | |
FREQUENT LOOKUPS
Most Popular Number Systems Conversions
5.2M / motrending_up
Decimal to Hexadecimal
1 DEC = 1.0000 HEX
×1.0000
4.4M / motrending_up
Hexadecimal to Decimal
1 HEX = 1.0000 DEC
×1.0000
3.8M / motrending_up
Decimal to Binary
1 DEC = 1.0000 BIN
×1.0000
3.1M / motrending_up
Binary to Decimal
1 BIN = 1.0000 DEC
×1.0000
2.6M / motrending_up
Decimal to Roman Numerals
1 DEC = 1.0000 ROM
×1.0000
2.2M / motrending_up
Hexadecimal to Binary
1 HEX = 1.0000 BIN
×1.0000
EXPLORE UNITS BY TYPE
Common Number Systems Units
pin
Decimal (Base 10)
Symbol: DEC. Commonly used in: other.
pin
Binary (Base 2)
Symbol: BIN. Commonly used in: other.
pin
Hexadecimal (Base 16)
Symbol: HEX. Commonly used in: other.
pin
Octal (Base 8)
Symbol: OCT. Commonly used in: other.
pin
Roman Numerals
Symbol: ROM. Commonly used in: other.
HOW THIS CONVERSION WORKS
Simple Step-by-Step Conversion Formula
11. Find the Base Rate
Every conversion starts with the standard baseline rate between these two units:
1 DEC = 1 HEX
22. Multiply by Your Number
Multiply your entered number by the conversion rate to calculate the exact target value:
10 DEC × Rate = 10.00000 HEX
33. Clear & Ready-to-Use Answer
The result is neatly rounded to your preferred decimal setting so it is clear and ready to use:
Final Answer = 10.00000 HEX
EVERYDAY EXAMPLES
Real-World Examples of Number Systems
memorySingle Byte Maximum Value (8-bit)
255 DEC = 0xFF (11111111 BIN = CCLV)
The maximum integer value that can be held in an unsigned 8-bit byte.
developer_board16-Bit Half-Word Maximum
65,535 DEC = 0xFFFF (16 ones)
The maximum value of an unsigned 16-bit word, familiar in TCP/UDP port numbers.
UNIT REFERENCE GUIDE
All Number Systems Units at a Glance
| Unit Name | Symbol | System | Conversion Rate | Common Uses |
|---|
| Decimal (Base 10) | DEC | other | 1 DEC = 1.000000 DEC | Everyday, home, and school measurements in Number Systems. |
| Binary (Base 2) | BIN | other | 1 BIN = 1.000000 DEC | Everyday, home, and school measurements in Number Systems. |
| Hexadecimal (Base 16) | HEX | other | 1 HEX = 1.000000 DEC | Everyday, home, and school measurements in Number Systems. |
| Octal (Base 8) | OCT | other | 1 OCT = 1.000000 DEC | Everyday, home, and school measurements in Number Systems. |
| Roman Numerals | ROM | other | 1 ROM = 0.000000 DEC | Everyday, home, and school measurements in Number Systems. |
HELPFUL TIPS & BACKGROUND
How These Units Began & Good Things to Know
QUICK STORY2 min read
Where Did Number Systems Units Come From?
Binary was formalized by Gottfried Wilhelm Leibniz in 1679. Hexadecimal became standard with IBM System/360 in 1964.
verifiedBase 2 (Binary), Base 8 (Octal), Base 10 (Decimal), Base 16 (Hexadecimal).
PRACTICAL TIPS2 min read
Common Mistakes & How to Avoid Them
Roman numerals lack a zero character and cannot express negative numbers or fractions natively.
check_circleVerified Everyday Formulas
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FREQUENTLY ASKED QUESTIONS
Number Systems Questions & Answers
How do you convert Decimal to Hexadecimal?expand_more
Repeatedly divide the number by 16 and record the remainders. For example, 254 / 16 = 15 remainder 14. 15 = F, 14 = E, so 254 is FE in hex.
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100% Verified & Tested Formulas
Every calculation uses trusted, standard definitions so your results are 100% accurate for school, home, work, and recipes.
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