binäärinumerosta

Binäärinumerot, or binary numbers, are a base-2 numeral system used primarily in computing and digital electronics. Unlike the decimal system, which uses ten digits (0-9), binary uses only two digits: 0 and 1. Each digit in a binary number is called a bit. The position of each bit represents a power of two, starting from the rightmost bit (which represents 2^0 or 1) and increasing to the left.

Binary numbers are fundamental to digital computing because electronic circuits can easily represent and manipulate binary states. For example, a binary 0 can be represented by an off state in a circuit, while a binary 1 can be represented by an on state. This binary representation is the basis for all digital data, including text, images, and audio.

Converting between binary and decimal is straightforward. To convert a binary number to decimal, each bit is multiplied by its corresponding power of two, and the results are summed. For example, the binary number 1011 converts to decimal as follows: (1*2^3) + (0*2^2) + (1*2^1) + (1*2^0) = 8 + 0 + 2 + 1 = 11.

Binary arithmetic operations, such as addition and subtraction, follow similar rules to decimal arithmetic but are performed using binary digits. Binary is also used in various other fields, including telecommunications, data compression, and error detection and correction.