1A Hardware Algorithm for Integer Division

Abstract — A hardware algorithm for integer division is pro-posed. It is based on the digit-recurrence, non-restoring di-vision algorithm. Fast computation is achieved by the use of the radix-2 signed-digit representation. The algorithm does not require normalization of the divisor, and hence, does not require area-consuming leading one (or zero) detection nor shifts of variable-amount. Combinational (unfolded) implementation of the algorithm yields a regularly structured array divider, where pipelining is possible for increasing the throughput. Sequential implementation yields a compact divider. I