Abstract :
A technique is presented for the design of single stage linear input threshold logic. Given the solution of a switching function as a set of windings on a magnetic core, the magnetomotive force is easily computed for each state of an n-variable binary truth table. The profile of the switching function is a graphical plot of the m.m.f. \´s as a function of the states of the truth table. The truth function is evaluated by applying the threshold to the profile., Furthermore, the monotonic changes in the function caused by altering the weight of the bias are readily seen. The profile technique reverses the above process and builds up an nth-order hypothetical profile from lower order identical profiles which plecewise map the function, testing for each j, $2 leq j leq (n-1)$ whether four identical (j-1)-variable profiles can be "fused" to generate a (j+1)-variable profile which, itself maps the function piecewise. For any j if the test fails, the hypothetical (j+1)-variable profile cannot be realized with constant weights in the solution and the function is altered by deleting one or more true states. A means of describing the set of symmetry operations Which transform a given function to an arbitrarily defined basic form for inclusion in a table of switching circuits, and a table of all realizable five-variable switching circuits are briefly mentioned.
