Convert Number - Fast & Accurate Number ⇄ Converter Tool
Convert between different number systems including decimal, binary, octal, and hexadecimal
Need a fast and accurate way to use a number converter for any numeral system? Our number ⇄ converter gives instant results. Enter the value and get precise answers anytime.
Why Users Love This Number Converter
- Exact in design: Uses the correct formula for accurate results.
- Instant answers: Results update as you type or on one click.
- Clear display: Shows both exact and rounded values with adjustable decimals.
- Two-way switch: Toggle between decimal to binary, binary to decimal, decimal to hex, or hex to decimal.
- Works anywhere: Mobile and desktop friendly for everyday use.
How to Use Our Converter
- Enter the value.
- Choose direction: decimal to binary, binary to decimal, hex to decimal, or decimal to hex.
- View instant results.
- Copy, share, or save the answer.
Decimal Numbers
The term decimal (Base-10) stands for the number system using digits 0–9.
It is the standard system in everyday life for counting, money, and measurements.
Key Facts About Decimal
- Exact value: Base-10 system
- Relationship to other units: Converts to binary, octal, or hex
- Common abbreviation: Dec
- Notation tips: Use digits 0–9 only
Binary Numbers
The term binary (Base-2) stands for a system that uses only 0 and 1.
It is widely used in computer science and digital electronics.
Key Facts About Binary
- Exact value: Base-2 system
- Relationship to other units: Converts to decimal, octal, and hex
- Common abbreviation: Bin
- Notation tips: Digits limited to 0 and 1
Decimal to Binary Conversion Formula
Formula:
Binary = Decimal ÷ 2 (repeated division until result = 0, collect remainders in reverse order)
Decimal to Binary Conversion Examples
- Example 1: Convert 10 decimal to binary
Step 1: Formula = Decimal ÷ 2
Step 2: 10 ÷ 2 = 5 remainder 0
Step 3: 5 ÷ 2 = 2 remainder 1
Step 4: 2 ÷ 2 = 1 remainder 0
Step 5: 1 ÷ 2 = 0 remainder 1
Result = 1010 binary
- Example 2: Convert 25 decimal to binary
Result = 11001
- Example 3: Convert 50 decimal to binary
Result = 110010
Binary to Decimal Conversion Formula
Formula:
Decimal = (binary digit × 2^position)
Binary to Decimal Conversion Examples
- Example 1: Convert 1010 binary to decimal
Formula = (1×2³) + (0×2²) + (1×2¹) + (0×2⁰)
Result = 10 decimal
- Example 2: Convert 11001 binary to decimal
Result = 25 decimal
- Example 3: Convert 110010 binary to decimal
Result = 50 decimal
Applications of Number Converter
- Used in computer programming for binary, decimal, and hex conversions
- Helps in digital electronics for circuit design
- Common in web design (hexadecimal color codes)
- Useful for students learning math and number systems
Quick Reference Table for Number Conversion
Decimal [Base-10] | Binary [Base-2] | Octal [Base-8] | Hexadecimal [Base-16] |
5 | 101 | 5 | 5 |
10 | 1010 | 12 | A |
15 | 1111 | 17 | F |
20 | 10100 | 24 | 14 |
25 | 11001 | 31 | 19 |
50 | 110010 | 62 | 32 |
75 | 1001011 | 113 | 4B |
100 | 1100100 | 144 | 64 |
Use our number ⇄ converter at Digital Calculator for fast, accurate, and reliable results in mathematics, computer science, web development, and daily use.
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