Binary data Binary data Binary data is data whose unit can take on only two possible states, traditionally labeled as 0 and 1 in accordance with the binary numeral system and Boolean algebra. Binary data occurs in many different technical and scientific fields, where it can be called by different names: A discrete variable that can take only one state contains zero information, and is the next natural number after 1. That is why the bit, a variable with only two possible values, is a standard primary unit of information. A collection of bits may have states: see binary number for details.
Binary number only two possible outcomes of each partial multiplication: For example, the binary numbers 1011 and 1010 are multiplied as follows: Binary numbers can also be multiplied with bits after a binary point: See also Booth's multiplication algorithm. The binary multiplication table is the same as the truth table of the logical conjunction operation formula_6. Long division in binary is again similar to its decimal counterpart. In the example below, the divisor is 101, or 5 decimal, while the dividend is 11011, or 27 decimal. The procedure is the same as that of decimal long division; here, the divisor 101 goes