Group List Elements according to the Input with the order of binary combination

[bowlofred]

My variables was just a single list. I'm not completely sure, but maybe you want to run it for each of the groups in your product? Like this?

from itertools import product
from more_itertools import grouper
import string

# create the "data"
number = 2
for variables in product([0, 1], repeat=(number*2)):
    print(f"Running for variables = {variables}")

    groups = grouper(variables, 2)
    finallist = product(*groups)
    print(list(finallist))

Output:
Running for variables = (0, 0, 0, 0)
[(0, 0), (0, 0), (0, 0), (0, 0)]
Running for variables = (0, 0, 0, 1)
[(0, 0), (0, 1), (0, 0), (0, 1)]
Running for variables = (0, 0, 1, 0)
[(0, 1), (0, 0), (0, 1), (0, 0)]
Running for variables = (0, 0, 1, 1)
[(0, 1), (0, 1), (0, 1), (0, 1)]
...