Decade Counter
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A counter that cycles through binary representations 0000 to 1001 has ten states corresponding to decimal digits 0 through 9. It is therefore a BCD/decade counter, which is option C.

BCD counter stops normal sequence at decimal 9, not binary 15.
Do not call a four-bit decade counter an ordinary mod-16 binary counter.
BCD counter stops normal sequence at decimal 9, not binary 15.