Abstract: An arithmetic unit comprising: an encoding circuit arranged to receive first and second operands each having a bit length of m bits and to generate therefrom a number n of partial products of bit length of 2m bits or less; an addition circuit having 2m columns each having n inputs, wherein bits of said partial products are applied to said inputs for combining said partial products into a result leaving certain of said inputs unused; and a rounding bit generator connected to supply a rounding bit to at least one of said unused inputs in one of said in columns at a bit position to cause said result to be rounded.

Abstract: Disclosed are systems for loading an unaligned word from a specified unaligned word address in a memory, the unaligned word comprising a plurality of indexed portions crossing a word boundry, a method of operating the system comprising: loading a first aligned word commencing at an aligned word address rounded from the specified unaligned word address; identifying an index representing the location of the unaligned word address relative to the aligned word address; loading a second aligned word commencing at an aligned word address rounded from a second unaligned word address; and combining indexed portions of the first and second alinged words using the indentified index to construct the unaligned word.