onsider the FPNS $(\backslash$beta $,$ k$,$ m$,$ M$)=(2,3,-1,+2).$

a$.$ Give the value of every normalized mantissa in this FPNS$,$ first as a binary expansion $($for

example, $0\mathrm{.}100)2)$ and then also as a decimal fraction $($for example, $1/2).$

b$.$ Give the value of every legal exponent in this FPNS$.$

c$.$ From your answers in parts $($a$)$ and $($b$)$ above, write down the value of every positive

floating point number in this FPNS$,$ as a decimal fraction $($for example, $1/2$ is a decimal

fraction, and so is $2/1,$ etc.$).$

d$.$ What is the smallest positive integer that cannot be represented in this system?