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At a particular time of computation, the value of a counting semaphore is 7. Then 20 P operation and ‘x’ V operation were completed on this semaphore. If the final value of the semaphore is 5, x will be
  • a)
    15
  • b)
    22
  • c)
    18
  • d)
    13
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
At a particular time of computation, the value of a counting semaphore...
 P operation : Decrements the value of semaphore by 1
V operation : Increments the value of semaphore by 1
Initially, value of semaphore = 7
After 20 P operations, value of semaphore = 7 – 20 = -13
Now, after xV operations, value of semaphore = 5
-13 + xV = 5
xV = 5 + 13 = 18
So, option (c) is correct.
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Most Upvoted Answer
At a particular time of computation, the value of a counting semaphore...
20 V operation is performed on the semaphore.

P operation: This operation decrements the value of the semaphore by 1. If the value is already 0, then the process executing the P operation will be blocked until the value becomes greater than 0.

V operation: This operation increments the value of the semaphore by 1. If there are any processes blocked on the semaphore, one of them will be unblocked.

Given that the initial value of the semaphore is 7, after 20 P operations, the value of the semaphore will be 7 - 20 = -13. Since the value cannot be negative, the semaphore will be blocked until a V operation is performed.

After 20 V operations are performed, the value of the semaphore will be -13 + 20 = 7.

Therefore, the final value of the counting semaphore after 20 P operations and 20 V operations is 7.
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