Write Each of the Boolean Functions as a Boolean Expression

question 9

Multiple Choice

Write each of the Boolean functions as a Boolean expression in dnf.
- $\begin{array}{|c|c|c|c|}\hline \boldsymbol{A} & \boldsymbol{B} & \boldsymbol{C} & \boldsymbol{f}(\boldsymbol{A}, \boldsymbol{B}, \boldsymbol{C}) \\\hline 1 & 1 & 1 & 0 \\\hline 1 & 1 & 0 & 0 \\\hline 1 & 0 & 1 & 1 \\\hline 1 & 0 & 0 & 1 \\\hline 0 & 1 & 1 & 0 \\\hline 0 & 1 & 0 & 0 \\\hline 0 & 0 & 1 & 1 \\\hline 0 & 0 & 0 & 0 \\\hline\end{array}$

• A) \(A ^ { \prime } B ^ { \prime } C \vee A B ^ { \prime } C ^ { \prime } \vee A ^ { \prime } B C\)
• B) \(A B C ^ { \prime } \vee A B ^ { \prime } C ^ { \prime } \vee A ^ { \prime } B ^ { \prime } C\)
• C) \(A B ^ { \prime } C \vee A B ^ { \prime } C ^ { \prime } \vee A ^ { \prime } B ^ { \prime } C\)
• D) \(A ^ { \prime } B ^ { \prime } C \vee A B C ^ { \prime } \vee A ^ { \prime } B ^ { \prime } C ^ { \prime }\)
• E) None of these

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Definitions:

Economies of Scale

Reductions in the average cost of a product due to increased production levels.

Diseconomies of Scale

An increase in production costs as the scale of production goes up, leading to reduced efficiency.

Fixed Inputs

Resources or factors of production, such as land or capital, that remain constant regardless of the level of output or production.

Variable Inputs

Resources or inputs whose quantity can be changed in the short term to adjust the level of production.