Binary Calculator
Perform arithmetic and conversions with binary numbers.
Binary Calculation—Add, Subtract, Multiply, or Divide
Convert Binary Value to Decimal Value
Convert Decimal Value to Binary Value
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Perform Binary Arithmetic and Conversions
Our Binary Calculator provides a comprehensive suite of tools to add, subtract, multiply, and divide binary numbers, as well as convert between binary and decimal systems.
What is a Binary Calculator?
A Binary Calculator is a tool designed to work with the binary number system (base-2), which is the fundamental language of computers. It allows users to perform arithmetic operations (addition, subtraction, multiplication, division) on binary numbers and to convert numbers between the binary system and the familiar decimal (base-10) system. It's an essential tool for students of computer science, programmers, and electronics engineers.
How It Works: Base-2 Math
The calculator performs operations by first converting the binary inputs to their decimal equivalents, performing the standard arithmetic operation, and then converting the result back to binary.
Frequently Asked Questions
How do you calculate binary numbers?
Binary numbers are calculated using base-2 arithmetic. For addition, 0+0=0, 0+1=1, 1+0=1, and 1+1=10 (0 with a carry-over of 1). Our calculator automates these arithmetic operations and also provides tools for converting between binary and decimal systems.
How do you convert decimal to binary?
To convert a decimal number to binary, you repeatedly divide the decimal number by 2 and record the remainder (0 or 1). You continue until the quotient is 0. The binary representation is the sequence of remainders read from bottom to top.
How do you convert binary to decimal?
To convert a binary number to decimal, you multiply each digit of the binary number by 2 raised to the power of its position (starting from 0 on the right) and then sum the results. For example, the binary number 101 is (1 * 2²) + (0 * 2¹) + (1 * 2⁰) = 4 + 0 + 1 = 5.
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