Convert decimal to binary numbers instantly with our free base 10 to base 2 calculator. Get step-by-step explanations and accurate results for any decimal number.
Decimal to Binary Converter
How Our Base 10 to Base 2 Calculator Works
Our intuitive calculator takes the complexity out of binary conversion. Simply enter your decimal number, and our tool will instantly show you the binary equivalent. Whether you need to convert 25 base 10 to base 2 or tackle more complex conversions like converting 0.46 from base 10 to base 2, our calculator handles both integer and decimal numbers with precision.
Key Features:
- Instant conversion results
- Step-by-step conversion process
- Support for both whole numbers and decimals
- User-friendly interface
- Free to use
Common Base 10 to Base 2 Conversion Examples
Let's look at some frequently requested conversions:
- Convert 15 base 10 to base 2: 1111
- 100 base 10 to base 2: 1100100
- Convert 25 base 10 to base 2: 11001
How to Convert Base 10 to Base 2
Converting Whole Numbers:
- Divide the number by 2
- Note the remainder (0 or 1)
- Continue dividing the quotient by 2
- Read the remainders from bottom to top
Converting Decimal Numbers:
- Multiply the decimal by 2
- Note the whole number part
- Continue multiplying the decimal part by 2
- Read the whole number parts from top to bottom
Understanding the Base 10 to Base 2 Formula
The base 10 to base 2 conversion follows a systematic process. For whole numbers, the formula involves repeatedly dividing by 2 and tracking remainders. For decimal numbers, the process includes multiplying by 2 and tracking whole number parts.
What is 79 base 10 to base 2?
79 in base 10 = 1001111 in base 2.
What is 44 base 10 to base 2?
44 in base 10 = 101100 in base 2.
For a more detailed explanation, check out this comprehensive guide on changing from Base 10 to Base 2.