Problem $3-$ADC

Consider the following $5-$bit SAR based ADC nunaing tased ea $5$ Mitz clock and ho $0\mathrm{.}8V$ and $V_w=1V.$ Answer the following questions:

a$)$ What would be bi final answer $(6$ points$)$

b$)$ What is total conversion time assuming the sampling time is $15$ clock cycles? $(3$ points$)$

c$)$ What is the maximum input signal frequency which can be converted by this ADC? $(2$ points$)$

d$)$ How much ADC input has changed if the output changes from $01001$ to $01110?(4$ points$)$