Before revision:  For binary-valued logic operations, the two simple Boolean schemes presented in this paper use zero (no noise) for the logic Low (L) state. In the random telegraph wave-based scheme, for multi-valued logic operations, additive superpositions of logic states must be avoided, while multiplicative superpositions utilizing hyperspace base vectors can still be utilized. These modifications, while keeping the information richness of multi-valued (noise-based) logic, result in a significant speedup of logic operations for the same signal bandwidth. The logic hyperspace of the first scheme results random telegraph waves with the same statistical properties as the original noise bits. The hyperspace of the second scheme is the same as in the already published version .
After revision:  Error propagation and error removal issues are also addressed .