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Computes Ohm's law and power from any two of V, I, R, P; series and parallel resistance with optional tolerance bounds; a voltage divider (with optional load); an LED series resistor rounded up to a preferred E-series value; conductor voltage drop from a caller-supplied resistivity; decodes or encodes 3 to 6 band IEC 60062 resistor colour codes; and tests whether a value is an official E3 to E192 value. For engineers and agents checking a circuit number before acting on it. It does not simulate AC, reactive or non-linear circuits, choose a part by power rating or look up a material's resistivity. Exact decimal arithmetic. An optional claim map (output name to number, with a percent tolerance) turns it into a pass/fail check.