Skew binary number system must be the first non-zero least significant digit. In this case 15 is written canonically as 1000. Skew binary representations of the numbers from 0 to 15 are shown in following table: The advantage of skew binary is that each increment operation can be done with at most one carry operation. This exploits the fact that formula_3. Incrementing a skew binary number is done by setting the only two to a zero and incrementing the next digit from zero to one or one to two. When numbers are represented using a form of run-length encoding as linked lists of the
Binary number 5 is 5, with a remainder of 2. The process of taking a binary square root digit by digit is the same as for a decimal square root, and is explained here. An example is: Though not directly related to the numerical interpretation of binary symbols, sequences of bits may be manipulated using Boolean logical operators. When a string of binary symbols is manipulated in this way, it is called a bitwise operation; the logical operators AND, OR, and XOR may be performed on corresponding bits in two binary numerals provided as input. The logical NOT operation may be performed