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$A=1,B=0$

                  $P_{1}$                                           $P_{2}$
                 $P(B)$                               $P(A)$                 
                 $R_{1}$                               $R_{1}$
                 $R_{2}$                               $V(B)$
                 $V(A)$                               $P(A)$
                 $P(B)$                               $R_{2}$
                 $R_{3}$                               $R_{3}$
                 $R_{4}$                               $V(B)$
                 $V(A)$                                  $P(A)$ 
                                $R_{4}$

 

This satisfies all the given conditions. So, $2$ binary semaphores are required.

Correct me if I'm wrong

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