function s = Dot3(x,y)
% x = Dot3(x,y)
% x and y are column vectors of the same length.  s is their
% dot product, computed as though MATLAB's internal Representation
% was three-digit base-10 floating point.

% accumulator
acc = Represent(0);

% just a little error checking
len = min(length(x), length(y));

for k=1:len
  acc = Float(acc,                                            ... 
              Float(Represent(x(k)), Represent(y(k)), '*'),   ...
              '+');
end

s = Convert(acc);