Use CLP(FD) constraints, for example:
:- use_module(library(clpfd)).
binary_number(Bs0, N) :-
reverse(Bs0, Bs),
foldl(binary_number_, Bs, 0-0, _-N).
binary_number_(B, I0-N0, I-N) :-
B in 0..1,
N #= N0 + B*2^I0,
I #= I0 + 1.
Example queries:
?- binary_number([1,0,1], N).
N = 5.
?- binary_number(Bs, 5).
Bs = [1, 0, 1] .
?- binary_number(Bs, N).
Bs = [],
N = 0 ;
Bs = [N],
N in 0..1 ;
etc.
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