Logical extension of multiprogramming operating system isa.Time sharingb.single programingc.multi-taskingd.both a and bClear my choice

The logical extension of a multiprogramming operating system is a. Time sharing.

Here's why:

Multiprogramming is a method where multiple jobs are loaded into the system memory at the same time. This set of jobs is then executed by the CPU using context switching.

Time-sharing is an extension of this concept, where the CPU switches between jobs so frequently that users can interact with each program while it is running. This gives the illusion of multiple programs being run at the same time, even though only one is ever executing in any given instant.

So, time-sharing systems are essentially multiprogramming systems with additional features like scheduling algorithms to provide interactive use of a computer system.

Therefore, the correct answer is a. Time sharing.