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IMAS 2025-2026 Junior Division - First Round Question 25

IMAS · IMAS 2025-2026 Junior Division - First Round

Question 25

A byte consists of 8 binary bits, each of which is either 0 or 1. Among all $2^8=256$ possible byte patterns, how many satisfy the condition that no three consecutive bits have the same value? For example, 00110101 satisfies the condition, but 01010001 and 01110010 do not.