Binary number representation, relying on the fact that 0.111111... is the sum of the geometric series 2 + 2 + 2 + ... which is 1. Binary numerals which neither terminate nor recur represent irrational numbers. For instance, Binary number In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 (zero) and 1 (one). The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit. Because of its straightforward implementation in digital electronic circuitry
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