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Is it possible to find formula of the sequence?

Input data,:

C = A "+" B

A: 0111 ,- 4 digits

B : 100010 ,- 6 digits

result : C: 0101010101 ,10 digits

C, is permanent constant !

How to calculate B, from A and C ?

What is a logic formula, "how to do it this ?".

Start of A,B,C is first ( left) numbers.