How is the answer Yi S0 S1 Bi S1 Bi S0 derived from the f

How is the answer Y_i = S_0 S_1 + B_i S_1 + B\'_i S_0 derived from the following table

Solution

From table

for 011,Yi=Bi+1=1

,111; Yi=1;

Ci\'S1S0+CiS1S0=Yi=1

S1S0(Ci\'+Ci)=Yi=1

S1S0=Yi=1;

Like wise

for 010 =yi=Bi

for 011=Yi=Bi

for 110=Yi=1

for 110=Yi=1;

if we simplify this Yi=S1Bi

Like wise

001=Yi=Bi\'

011=Yi=Bi\'

101=Yi=Bi\'+1=1

111=Yi=1

if we simplify all terms we get S0Bi\'

compine all minters we get

Yi=S1S0+S1Bi+SoBi\'