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

question 8

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?
$$\begin{array} { | c | c | c | c | c | } \hline & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } \\\hline 1 & \mathrm { i } & \mathrm { Y } 2 _ { \mathrm { i } } & \mathbf { b } _ { \mathrm { i } } & \mathbf { b } _ { \mathrm { i } } ^ { \prime } \\\hline 2 & 0 & 1.060022 & 1 & 1 \\\hline 3 & 1 & 0.50675 & 0 & 0 \\\hline 4 & 2 & 1.242734 & 1 & 1 \\\hline 5 & 3 & 1.913354 & 1 & 1 \\\hline\end{array}$$

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Definitions:

Creativity

The ability to produce ideas or problems to solutions that are unique, appropriate, and valuable.

Divergent Thinking

A thought process or method used to generate creative ideas by exploring many possible solutions.

True Creativity

The ability to generate ideas or products that are both novel and valuable, reflecting genuine innovation.

Terman

Refers to Lewis Terman, an American psychologist best known for his revisions of the Stanford-Binet Intelligence Scales and research on gifted children.