The paper outlines the possibilities of designing transformers with a digital computer and sets forth a general method of approach. Programming techniques for a particular design are discussed, and it is shown how the computer can be made to take logical decisions and cause rapid convergence of the transformer characteristics to the desired results.The speed and capacity of the computer make possible optimization studies on a scale hitherto impracticable, and will also ultimately enable each and every design to be calculated on a more rigorous fundamental basis.