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GATE Overflow Test Series | Mixed Subjects | Test 2 | Question: 16

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$32768 = 2^{15} = {(2^3)}^5 = 8^5.$

Thus we need $5$ mod-8 counters as after every $8$ clock cycles the second cascaded counter gets an increment and after every $8 \times 8 = 64$ clock cycles the third cascaded counter gets an increment and so on.
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