Why do computers use binary?

Computers use binary because digital circuits can easily represent two states: on (1) and off (0). This corresponds to electrical switches being either open or closed, making binary the natural choice for digital systems.

How do I convert decimal to binary?

Divide the decimal number by 2 repeatedly, keeping track of remainders. The binary representation is the remainders read in reverse order. For example: 10 ÷ 2 = 5 remainder 0, 5 ÷ 2 = 2 remainder 1, 2 ÷ 2 = 1 remainder 0, 1 ÷ 2 = 0 remainder 1. So 10₁₀ = 1010₂.

What's the largest number I can represent with 8 bits?

With 8 bits, you can represent numbers from 0 to 255 in decimal (00000000 to 11111111 in binary). This is because 2⁸ = 256 different combinations are possible.

How does binary addition work?

Binary addition follows simple rules: 0+0=0, 0+1=1, 1+0=1, 1+1=10 (which is 0 with a carry of 1). It's similar to decimal addition but with only two digits.

Binary Calculator – Binary to Decimal Converter

Convert between binary and decimal numbers, perform binary arithmetic operations. Essential tool for computer science and digital electronics.

Binary Calculator – Binary to Decimal Converter

Convert between binary and decimal numbers, perform binary arithmetic operations. Essential tool for computer science and digital electronics.

Operation*

Choose the operation to perform

First Number*

Enter decimal or binary number

Second Number

Enter second number for arithmetic operations

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Math visualization will appear here

Understanding Binary Numbers

Binary is a base-2 number system using only digits 0 and 1. It's the fundamental language of computers and digital systems, where each digit represents a power of 2.

Binary to Decimal Conversion

To convert binary to decimal, multiply each digit by its corresponding power of 2 and sum the results. For example: 1011₂ = 1×2³ + 0×2² + 1×2¹ + 1×2⁰ = 8 + 0 + 2 + 1 = 11₁₀

How to Use This Calculator

Follow these simple steps to get accurate results:

Enter your operation
Enter your first number
Enter your second number
Click the "Calculate" button to see your results
Review the detailed breakdown and explanation

Why Use Our Binary Calculator – Binary to Decimal Converter?

100% free and no registration required
Instant, accurate calculations with professional formulas
Mobile-friendly design that works on any device
Privacy-focused - your data never leaves your browser
Educational content to help you understand the results

Frequently Asked Questions

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