A residence may be converted to accommodate an increased number of dwelling units provided:
(a) The yard dimensions still meet the yard dimensions required by the Part for new structures in that district;
(b) The lot area per family equals the lot area requirements for new structures in that district;
(c) The floor area per dwelling unit is not reduced to less than that which is required for new construction in that district;
(d) The conversion is in compliance with all other relevant codes and ordinances.