Perform binary operations and conversions between binary and decimal number systems.
A binary calculator is a tool for performing operations on binary numbers (base-2 numbers consisting of only 0s and 1s). Binary is the fundamental language of computers, where each digit represents a power of 2. This calculator allows you to perform common logical operations like AND, OR, XOR, and NOT on binary values, and also converts between binary and decimal representations.
Enter binary numbers and choose an operation to see the result.
The binary number system is a base-2 numeral system that uses only two digits: 0 and 1. It is fundamental to digital electronics and computer systems as all data in computers is ultimately represented in binary form.
Binary operations like AND, OR, XOR, and NOT work by manipulating bits (binary digits). AND returns 1 only if both input bits are 1, OR returns 1 if at least one input bit is 1, XOR returns 1 if exactly one input bit is 1, and NOT inverts the bits (changes 0 to 1 and 1 to 0).
Binary calculations are essential in computing because computers operate at the hardware level using binary logic. Binary operations form the foundation of all computer arithmetic, logical decisions, memory addressing, and data processing tasks.