verbose_baseconv.py

PROMPT_MSG='type an integer greater or equal to 1 >  '

input_ok = False
while not input_ok:
    try:
        num_tested = int(input(PROMPT_MSG))
        if num_tested >= 1:
            input_ok = True
    except ValueError:
        pass
    
print(num_tested)
n_max = 0
bsup = 1
while num_tested > bsup:
    n_max += 1
    bsup = 1<<n_max

print("= ", end='')
is_first_print = True
total = 0
for n in range(bsup):
    prod = num_tested&(1<<n);
    if prod > 0:
        if is_first_print:
            is_first_print=False
        else:
            print('+', end='')
        print(str(prod), end='')
        total += prod
        if total == num_tested:
            break
print()