Binary number in hexadecimal) and then converting (formula_12 in hexadecimal) into (formula_12 in decimal). For very large numbers, these simple methods are inefficient because they perform a large number of multiplications or divisions where one operand is very large. A simple divide-and-conquer algorithm is more effective asymptotically: given a binary number, it is divided by 10, where "k" is chosen so that the quotient roughly equals the remainder; then each of these pieces is converted to decimal and the two are concatenated. Given a decimal number, it can be split into two pieces of about the same size, each of which is
Redundant binary representation time proportional to log("n") (where "n" is the number of digit) compared to a constant-time in two's complement. It is, however, possible to "partially" convert only the least-significant portion of a redundantly represented number to non-redundant form. This allows operations such as masking off the low "k" bits can be done in log("k") time. Redundant binary representation A redundant binary representation (RBR) is a numeral system that uses more bits than needed to represent a single binary digit so that most numbers have several representations. An RBR is unlike usual binary numeral systems, including two's complement, which use a single