Write Each of the Boolean Functions as a Boolean Expression

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