Assignment $1$ Convert the following decimal numbers to their hexadecimal equivalents:

a$.204\mathrm{.}125$ b$.255\mathrm{.}875$ c$.631\mathrm{.}25$ d$.10000\mathrm{.}00390625$

Assignment $2$ Convert the following hexadecimal numbers to their binary equivalents:

a$.$ E b$.1$ C c$.$ A$64$ d$.1$F$.$C e$.239\mathrm{.}4$

Assignment $3$ Convert the following binary numbers to their hexadecimal equivalents:

a$.1001\mathrm{.}1111$ b$.110101\mathrm{.}011001$ c$.10100111\mathrm{.}111011$

Assignment $4$ Consider a hypothetical microprocessor generating a $16-$bit address $($for example,

assume that the program counter and the address registers are $16$ bits wide$)$ and having a $16-$

bit data bus.

a$.$ What is the maximum memory address space that the processor can access directly if it is

connected to a $"16-$bit memory"?

b$.$ What is the maximum memory address space that the processor can access directly if it is

connected to an $"8-$bit memory"?

c$.$ If an input and an output instruction can specify an $8-$bit I$/$O port number, how many $8-$bit

I$/$O ports can the microprocessor support? How many $16-$ bit I$/$O ports? Explain.