GATE CS 2014 Set 2 — Question 17
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Digital Logic → Combinational Circuits → Counters (Sync, Async)
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Question
Let . A circuit is built by giving the output of an -bit binary counter as input to an -to- bit decoder. This circuit is equivalent to a
Correct answer
(C) k -bit ring counter.
Solution
An -bit binary counter counts from to . Let . The -to- decoder has output lines, say .When the counter value is , the decoder output is active (1) and all others are inactive (0).
When the counter value is , the decoder output is active (1) and all others are inactive (0).
...
When the counter value is , the decoder output is active (1).The sequence of active outputs rotates from to and back to . This behavior corresponds to a -bit ring counter, which circulates a single '1' through flip-flops.
When the counter value is , the decoder output is active (1) and all others are inactive (0).
...
When the counter value is , the decoder output is active (1).The sequence of active outputs rotates from to and back to . This behavior corresponds to a -bit ring counter, which circulates a single '1' through flip-flops.
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