Assume a computer with a very tiny physikpl address space: $512$ bytes. Each process will have a virtual address space of $256$ bytes. pts total$)$

If we have a pure paging virtual memory system where the upper $($higher order$)$ bits are used to identify pages$/$frames $($depending on whether we are using virtual or physical addresses$),$ and if the page sise is $S$ bytes, answer the following questions.

Note: I am showing addresses in binary for your comonience. I am slya grouping bits into groups of $4$ for readability. For example, address $146$ decimal is hex Ox$92,$ and binary $10010010.1$ would write this as $"1001{0010}^{**}.$

a$)$ Is address $*0110{1001}^{**}$ a virtual or physical address? $(5$ p$1$s$)$

b$)$ What is the page or frame number $($in decimal$)$ for that address. Please indicate whether it is a page or a frame. $($S pts$)$

c$)$ Is address $*101000101"$ a virtual or physical address? $(5$ pts$)$

d$)$ What is the page or frame number $($in decimalf for that address. Please indicate whether it is a page or a frame and provide the page$/$frame number. $15$ pts$)$

Suppose a CPU uses $32-$bit, addressing on a system with page sizes of $16K$ bytes. How many different pages can be addressed in such a system?

Express your answer in exponential form, if you wish. $(5$ pts$)$