3 differences
Binary semaphore is a semaphore with the integer value ranges over 0 and 1 whereas the counting semaphore's integer value ranges over unrestricted domain. Binary semaphores are easier to implement comparing with the counting semaphore.
Binary semaphore allows only one thread to access the resource at a time. But counting semaphore allows N accesses at a time.
The 2 operations that are defined for binary semaphores are take and release.
The 2 operations that are defined for counting semaphores are wait and signal
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