In a Circular Queue of size 8, if you enqueue 6 elements and then dequeue 4 elements, how many empty slots are there in the queue?a)1b)0c)3d)2
Question
In a Circular Queue of size 8, if you enqueue 6 elements and then dequeue 4 elements, how many empty slots are there in the queue?a)1b)0c)3d)2
Solution 1
The answer is c) 3. Here's the step-by-step explanation:
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You start with a circular queue of size 8, which means there are 8 slots available.
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When you enqueue 6 elements, you fill up 6 of the 8 slots. This leaves 2 slots empty.
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When you dequeue 4 elements, you remove 4 elements from the queue. This frees up 4 slots.
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So, after enqueuing 6 elements and dequeuing 4, you have 2 initial empty slots + 4 newly emptied slots = 6 empty slots.
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However, since the queue is circular, the 4 dequeued slots will be reused when new elements are enqueued. So, the number of empty slots will be reduced to 2 (6 - 4).
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Therefore, there are 3 empty slots in the queue.
Solution 2
The answer is c) 3. Here's the step-by-step explanation:
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You start with a circular queue of size 8, which means there are 8 slots available.
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When you enqueue 6 elements, you fill up 6 of the 8 slots. This leaves 2 slots empty.
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When you dequeue 4 elements, you remove 4 elements from the queue. This frees up 4 slots.
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So, after enqueuing 6 elements and dequeuing 4, you have 2 + 4 = 6 empty slots.
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However, since the queue is circular, you can enqueue elements in the slots that have been freed up by the dequeue operation. So, you can enqueue 3 more elements before the queue is full again.
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Therefore, there are 3 empty slots in the queue.
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