A fixed$-$point encoding makes use of $5$ bits to store the fractional portion of a number in an

unsigned fashion. Please answer the following questions.

a$)[4$ marks$]$ What would these $5$ bits hold to encode a value of $0\mathrm{.}3?$ Show your work, and

remember to round appropriately to ensure the representation error is minimized. Hint: when

processing fractional values, successive multiplications by the base $(2)$ are used, as opposed to

successive divisions by the base when dealing with integer values. Work still starts with the

digit closest to the radix point.

b$)[2$ marks$]$ What is the actual error in this representation of the value?