In a three stage counter, using RS flip flops what will be the value of the counter after giving $9$ pulses to its input? Assume that the value of counter before giving any pulses is 1.
3 stage counter with RS FF is 3 bit counter, so after every 8 clock pulse, it will return to initial state.
Initial state is 1, state after 8 clock pulse will be 1, So, after 9th clock pulse , state will be 2.
A three stage counter can count only to 8 (0-7)
Initially, count = 1.
After 9 clock pulses
$1\rightarrow 2\rightarrow 3\rightarrow 4\rightarrow 5\rightarrow 6\rightarrow 7\rightarrow 0\rightarrow 1\rightarrow 2$
Answer is 2