Ones Combos - Ruby

$results = { :ignore => [], 1 => [], 2 => [], 4 => [], 8 => [] }

def sum_array (numbers)
    n = 0
    for i in 0...numbers.length
        n += numbers[i]
    end
    return n
end

def dec_to_array (n)
    array = []
    numbers = [1,2,4,8,6,2,4].reverse()
    for i in 0..6
        a = 2.pow(i)
        if (n & a == a)
            array.push(numbers[i])
        end
    end
    return array
end

# Calculate included and excluded values
for i in 0...128
    array = dec_to_array(i)
    sum = sum_array(array)
    ones = sum % 10
    if (sum > 99)
        $results[:ignore].push(i)
    else
        # Fill out bit-results
        for j in 0..3
            a = 2.pow(j)
            if (ones & a == a)
                $results[a].push(i)
            end
        end
    end
end

File.open("./ones_combos.txt", 'w') { |file|
    file.puts "128 total combinations"
    for i in 0...$results.keys.length
        result = $results[$results.keys[i]]
        file.puts "------------|| #{$results.keys[i]} (#{result.length} combos) ||------------"
        for j in 0...result.length
            dec = result[j]
            file.puts "#{dec_to_array(dec).to_s} = #{dec}"
        end
    end
    file.puts "\n"
    for i in 0...$results.keys.length
        result = $results[$results.keys[i]]
        file.puts "------------|| #{$results.keys[i]} (#{result.length} combos) ||------------"
        for j in 0...result.length
            file.print "#{result[j]}"
            if (j < result.length - 1)
                file.print(",")
            end
        end
        file.print("\n")
    end
}

# MAPPING RESULTS

# 1-bit
# F = 1

# 2-bit
# F = 2'4'8'62'4' + 24'862'4' + 2'4'8624' + 248'6'24 + 24'8'6'2' + 2'4'8'6'2 + 248'2'4' + 2'486'2' + 2'48'24' + 2'86'2'4 + 24'86'2 + 28'62'4 + 2'482'4 + 2'8'624 + 24824' + 28624

# 4-bit
# F = 24'8'6'24' + 2'486'2'4 + 248'624' + 24'8'624 + 2'48'6'4' + 2'4'62'4' + 2'4'8'6'4 + 246'2'4' + 24'6'2'4 + 4'862'4' + 2'4'864' + 486'24' + 2'48'64 + 4'86'24 + 2462'4 + 48624

# 8-bit
# F = 2'4'86'2'4' + 24'8'62'4' + 2'48'6'2'4 + 2'4'8'624' + 248'6'24' + 24'8'6'24 + 2'4862'4' + 2'4'862'4 + 2486'2'4 + 24'8624' + 2'486'24 + 248'624