Generating Random Bits with RAND() and Conditional Formulas $$\mathrm { Y } 2 _ { \mathrm { i } }$$

Essay

Generating random bits with RAND() and conditional formulas.
a.What is the formula that generates random number
$$\mathrm { Y } 2 _ { \mathrm { i } }$$ in A3 that is uniformly
distributed over [0,2)?
b.What is the conditional formula in C3 that generates random bit bi from the value in
B3?
c.What is the non-conditional formula in D3 that generates random bit
$$b _ { i } ^ { \prime }$$ from the value
in B3?
$$\begin{array} { | c | c | c | c | c | } \hline & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } \\\hline 1 & \mathrm { i } & \mathrm { Y } 2 _ { \mathrm { i } } & \mathbf { b } _ { \mathrm { i } } & \mathbf { b } _ { \mathrm { i } } ^ { \prime } \\\hline 2 & 0 & 1.060022 & 1 & 1 \\\hline 3 & 1 & 0.50675 & 0 & 0 \\\hline 4 & 2 & 1.242734 & 1 & 1 \\\hline 5 & 3 & 1.913354 & 1 & 1 \\\hline\end{array}$$