You are told 219 (in base 10) is 432 in some other base. What base is 432 written in?

Hint: the quadratic equation  has roots 

A LINUX program uses POSIX-compliant API methods (i.e. pthread_create, pthread_join, etc.) to create and synchronise 6 threads. How many PCBs does the OS need, to manage these threads' executions? 

On a system with 10 processors (e.g. 10 CPUs) that supports Kernel-level threads, there are only 8 processes executing. Assume the 5-state process model, where 5 of these 8 processes make I/O requests. Before any of these processes terminate, what is the

1) maximum number of processes that can be in the ready state : ?

2) minimum number of processes that can be in the running state : ?

3) maximum number of processes that can be in the blocked state : ? 

In your answers, ignore any processes that may be related to the OS.

Let  be a 2-digit number in base . What is  in base ?

Suppose 18-bit instructions are copied to a CPU's instruction register, and suppose that each instruction dedicates the first 6 bits for the "opcode", with the remaining bits for specifying a memory location. What is the total number of possible memory locations that could be referenced by these instructions?