2 votes 2 votes A binary ripple counter is created by cascading N-number of flip-flops. The output frequency of every flip flop is named after its position i.e. then the MOD of the counter is ________. (Assume N > 6) A.) 8 B.) 11 C.) 14 D.) None of these Digital Logic digital-logic digital-counter madeeasy-testseries-2018 made-easy-test-series + – ashish pal asked Jan 15, 2018 • edited Mar 5, 2019 by ajaysoni1924 ashish pal 1.0k views answer comment Share Follow See all 7 Comments See all 7 7 Comments reply saxena0612 commented Jan 15, 2018 i edited by saxena0612 Jan 15, 2018 reply Follow Share $11?$ Edit : Reasoning : Every flop will reduce frequency by $2$ and cascaded flipflops are likely to depend on previous one . $\therefore$ let initial frq $=F$ Then : $\Large\frac{\frac{F}{2^N}}{\frac{F}{2^{\frac{N+1}{2}}}}$ $= \Large \frac{\frac{F}{2^6}}{\frac{F}{2^1}}$ $2N-N-1=10 \\N=11.$ $N=11$ which is total no of flipflop present in system,now the mod of this counter will be $2048$ with states transition as $0\rightarrow1....2047\rightarrow 0$ 4 votes 4 votes ashish pal commented Jan 15, 2018 reply Follow Share Answer is D I think you missed this $2^{11}=2048$ please share your approach 0 votes 0 votes saxena0612 commented Jan 15, 2018 reply Follow Share @ashish Please check and comment! 0 votes 0 votes Avdhesh Singh Rana commented Jan 15, 2018 reply Follow Share 2048 are no of states which can generate by the counter. Mod 11 is correct 1 votes 1 votes ashish pal commented Jan 15, 2018 reply Follow Share @saxena0612 you got N=11 that is no. of flip flops each flip flop is a MOD 2 counter so N flip flops will act as 2*2*2*........(N times) = 2^N please tell me where i am wrong 1 votes 1 votes joshi_nitish commented Jan 15, 2018 reply Follow Share @ashish pal your reasoning and your answer are exacly correct. @Avdesh Singh Rana 2048 are no of states which can generate by the counter. Mod 11 is correct the no. of distinct state generated by the counter is known as its mod, therefore it is $mod2^{11}$ counter 2 votes 2 votes saxena0612 commented Jan 15, 2018 reply Follow Share Yes ! I was holding the total no of flipflops but here mod is asked .States will be $2^{11}$ and mod will be 2048 Thanks nitish. 0 votes 0 votes Please log in or register to add a comment.