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"""Convert a Decimal Number to an Octal Number."""

import math

# Modified from:

# https://github.com/TheAlgorithms/Javascript/blob/master/Conversions/DecimalToOctal.js

def decimal_to_octal(num: int) -> str:

"""Convert a Decimal Number to an Octal Number.

>>> all(decimal_to_octal(i) == oct(i) for i

... in (0, 2, 8, 64, 65, 216, 255, 256, 512))

True

"""

octal = 0

counter = 0

while num > 0:

remainder = num % 8

octal = octal + (remainder * math.floor(math.pow(10, counter)))

counter += 1

num = math.floor(num / 8) # basically /= 8 without remainder if any

# This formatting removes trailing '.0' from `octal`.

return f"0o{int(octal)}"

def main() -> None:

"""Print octal equivalents of decimal numbers."""

print("\n2 in octal is:")

print(decimal_to_octal(2)) # = 2

print("\n8 in octal is:")

print(decimal_to_octal(8)) # = 10

print("\n65 in octal is:")

print(decimal_to_octal(65)) # = 101

print("\n216 in octal is:")

print(decimal_to_octal(216)) # = 330

print("\n512 in octal is:")

print(decimal_to_octal(512)) # = 1000

print("\n")

if __name__ == "__main__":

main()