To get round the formula length problem I've used 2 helper columns
 
Cell U2 contains the formula
=IF(B2="yes",1,0)+IF(AND(B2="yes",C2="yes"),0,IF(AND(B2="no",C2="yes"),1,0))+IF(AND(C2="yes",D2="yes"),0,IF(AND(C2="no",D2="yes"),1,0))+IF(AND(D2="yes",E2="yes"),0,IF(AND(D2="no",E2="yes"),1,0))+IF(AND(E2="yes",F2="yes"),0,IF(AND(E2="no",F2="yes"),1,0))+IF(AND(F2="yes",G2="yes"),0,IF(AND(F2="no",G2="yes"),1,0))+IF(AND(G2="yes",H2="yes"),0,IF(AND(G2="no",H2="yes"),1,0))+IF(AND(H2="yes",I2="yes"),0,IF(AND(H2="no",I2="yes"),1,0))+IF(AND(I2="yes",J2="yes"),0,IF(AND(I2="no",J2="yes"),1,0))+IF(AND(J2="yes",K2="yes"),0,IF(AND(J2="no",K2="yes"),1,0))
 
Cell V2 contains the formula
=IF(AND(L2="yes",M2="yes"),0,IF(AND(L2="no",M2="yes"),1,0))+IF(AND(M2="yes",N2="yes"),0,IF(AND(M2="no",N2="yes"),1,0))+IF(AND(N2="yes",O2="yes"),0,IF(AND(N2="no",O2="yes"),1,0))+IF(AND(O2="yes",P2="yes"),0,IF(AND(O2="no",P2="yes"),1,0))+IF(AND(P2="yes",Q2="yes"),0,IF(AND(P2="no",Q2="yes"),1,0))+IF(AND(Q2="yes",R2="yes"),0,IF(AND(Q2="no",R2="yes"),1,0))+IF(AND(R2="yes",S2="yes"),0,IF(AND(R2="no",S2="yes"),1,0))+IF(AND(S2="yes",T2="yes"),0,IF(AND(S2="no",T2="yes"),1,0))
 
Cell W2 contains the formula
=U2+V2
 
Trust you get the logic?
 
Lee

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