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Suppose a circular queue of capacity (n - 1) elements is implemented with an array of n elements. Assume that the insertion and deletion operations are carried out using REAR and FRONT as array index variables, respectively. Initially, REAR = FRONT = 0. The conditions to detect queue full and queue empty are
- a)full: (REAR+1) mod n == FRONTempty: REAR == FRONT$
- b)full: (REAR+1) mod n == FRONTempty: (FRONT+1) mod n == REAR
- c)full: REAR == FRONTempty: (REAR+1) mod n == FRONT
- d)full: (FRONT+1) mod n == REARempty: REAR == FRONT
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Suppose a circular queue of capacity (n - 1)elements is implemented wi...
In a circular queue implementation using an array of size n, the queue is considered full when there is only one empty space left in the array. This means that if the next element is inserted at the current REAR position, it will wrap around to the FRONT position, and there will be no space for additional elements.
The condition to detect a full queue is:
(REAR + 1) mod n == FRONT
Here, (REAR + 1) calculates the next position in the array after the current REAR position, and mod n ensures that the position wraps around within the range of the array. If this calculated next position is equal to the current FRONT position, it means the queue is full because there is only one empty space left.
Similarly, the condition to detect an empty queue is:
REAR == FRONT
If the REAR and FRONT indices are equal, it means there are no elements in the queue, and it is empty.
Therefore, the correct answer is option 'A' – full: (REAR + 1) mod n == FRONT, empty: REAR == FRONT.
Most Upvoted Answer
Suppose a circular queue of capacity (n - 1)elements is implemented wi...
Circular Queue Implementation
A circular queue is a data structure that allows insertion and deletion of elements in a circular manner. It is implemented using an array and two pointers, FRONT and REAR.
Initial Conditions
● The circular queue is implemented with an array of n elements.
● The capacity of the circular queue is (n-1) elements.
● The array is initially empty, and both FRONT and REAR are set to 0.
Conditions to detect Queue Full and Queue Empty
● Queue Full: The queue is considered full when the next index of REAR is equal to FRONT.
● Queue Empty: The queue is considered empty when both FRONT and REAR are equal.
Possible Conditions
a) Full: (REAR+1) mod n == FRONT
Empty: REAR == FRONT
b) Full: (REAR+1) mod n == FRONT
Empty: (FRONT+1) mod n == REAR
c) Full: REAR == FRONT
Empty: (REAR+1) mod n == FRONT
d) Full: (FRONT+1) mod n == REAR
Empty: REAR == FRONT
Correct Answer: Option 'a'
Explanation
● In option 'a', the queue is considered full when the next index of REAR is equal to FRONT. This is the correct condition to detect queue full in a circular queue implementation.
● In option 'b', the condition to detect queue empty is incorrect. The correct condition is when both FRONT and REAR are equal.
● In option 'c', the condition to detect queue full is incorrect. The correct condition is when the next index of REAR is equal to FRONT.
● In option 'd', the condition to detect queue full is incorrect. The correct condition is when the next index of REAR is equal to FRONT. The condition to detect queue empty is correct.
Conclusion
The correct conditions to detect queue full and queue empty in a circular queue implementation are:
● Queue Full: (REAR+1) mod n == FRONT
● Queue Empty: REAR == FRONT.
A circular queue is a data structure that allows insertion and deletion of elements in a circular manner. It is implemented using an array and two pointers, FRONT and REAR.
Initial Conditions
● The circular queue is implemented with an array of n elements.
● The capacity of the circular queue is (n-1) elements.
● The array is initially empty, and both FRONT and REAR are set to 0.
Conditions to detect Queue Full and Queue Empty
● Queue Full: The queue is considered full when the next index of REAR is equal to FRONT.
● Queue Empty: The queue is considered empty when both FRONT and REAR are equal.
Possible Conditions
a) Full: (REAR+1) mod n == FRONT
Empty: REAR == FRONT
b) Full: (REAR+1) mod n == FRONT
Empty: (FRONT+1) mod n == REAR
c) Full: REAR == FRONT
Empty: (REAR+1) mod n == FRONT
d) Full: (FRONT+1) mod n == REAR
Empty: REAR == FRONT
Correct Answer: Option 'a'
Explanation
● In option 'a', the queue is considered full when the next index of REAR is equal to FRONT. This is the correct condition to detect queue full in a circular queue implementation.
● In option 'b', the condition to detect queue empty is incorrect. The correct condition is when both FRONT and REAR are equal.
● In option 'c', the condition to detect queue full is incorrect. The correct condition is when the next index of REAR is equal to FRONT.
● In option 'd', the condition to detect queue full is incorrect. The correct condition is when the next index of REAR is equal to FRONT. The condition to detect queue empty is correct.
Conclusion
The correct conditions to detect queue full and queue empty in a circular queue implementation are:
● Queue Full: (REAR+1) mod n == FRONT
● Queue Empty: REAR == FRONT.
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Suppose a circular queue of capacity (n - 1)elements is implemented wi...
Option A is correct answer .
Full: (REAR+1) mod n == FRONT, empty: REAR == FRONT
Full: (REAR+1) mod n == FRONT, empty: REAR == FRONT
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