Computer architecture for emulating a differentiator in a correlithm object processing system

A method for emulating a differentiator circuit in a correlithm object processing system, comprising:

• storing a differentiator value table, the differentiator value table comprising:
• a plurality of input values represented by first correlithm objects;
• a plurality of previous values represented by second correlithm objects;
• and
• a plurality of output values represented by third correlithm objects;
• wherein each output value in the integrator value table is the difference of a corresponding input value and a corresponding previous value;
• wherein each of the correlithm objects comprises an n-bit digital word of binary values;
• and
• receiving an input correlithm object;
• determining a previous value correlithm object;
• determining a first correlithm object in the differentiator value table based on the input correlithm object by:
• determining Hamming distances between the input correlithm object and the first correlithm objects in the differentiator value table;
• and
• identifying the first correlithm object in the differentiator value table associated with the smallest determined Hamming distance between the input correlithm object and the first correlithm objects in the differentiator value table, such that even if noise modifies some of the bits of the n-bit input correlithm object or the first correlithm objects, the smallest determined Hamming distance will determine the appropriate first correlithm object in the differentiator value table;
• determining a second correlithm object in the differentiator value table based on the previous value correlithm object;
• determining a third correlithm object from the differentiator value table based on the determined first correlithm object and the determined second correlithm object;
• and
• outputting the third correlithm object as an output correlithm object.

A computer program comprising executable instructions stored in a non-transitory computer readable medium such that when executed by a processor causes the processor to emulate a differentiator circuit in a correlithm object processing system configured to:

• store a differentiator value table, the differentiator value table comprising:
• a plurality of input values represented by first correlithm objects;
• a plurality of previous values represented by second correlithm objects;
• and
• a plurality of output values represented by third correlithm objects;
• wherein each output value in the integrator value table is the difference of a corresponding input value and a corresponding previous value;
• wherein each of the correlithm objects comprises an n-bit digital word of binary values;
• and
• receive an input correlithm object;
• determine a previous value correlithm object;
• determine a first correlithm object in the differentiator value table based on the input correlithm object by:
• determining Hamming distances between the input correlithm object and the first correlithm objects in the differentiator value table;
• and
• identifying the first correlithm object in the differentiator value table associated with the smallest determined Hamming distance between the input correlithm object and the first correlithm objects in the differentiator value table, such that even if noise modifies some of the bits of the n-bit input correlithm object or the first correlithm objects, the smallest determined Hamming distance will determine the appropriate first correlithm object in the differentiator value table;
• determine a second correlithm object in the differentiator value table based on the previous value correlithm object;
• determine a third correlithm object from the differentiator value table based on the determined first correlithm object and the determined second correlithm object;
• and
• output the third correlithm object as an output correlithm object.