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Logic & Puzzles

If a robotic arm's control system uses modular arithmetic for precise positioning, which consequence results when a large prime number is chosen as the modulus?

A)Increased quantization of angular displacement
B)Reduced susceptibility to overflow errors
C)Faster computation of inverse kinematics
D)Enhanced distribution of positioning errors

💡 Explanation

A large prime modulus used in the robotic arm's control system enables more granular error distribution because Fermat's Little Theorem ensures uniform distribution of remainders. Therefore, the prime distributes positioning errors more evenly, rather than concentrating them, which occurs with composite moduli that may have common factors.

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