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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