def convert_to_base_10_latex(x: str, b: int) -> str:
"""
returns string in latex format for math demonstration
"""
msg = f"{x}_{{{b}}} = y_{{10}}\n\n"
msg += f"x_0 + b \\times (x_1 + b \\times (... + x_{{n-1}}\\times b))\n\n"
# allow function to be used with numbers
if not isinstance(x, str):
x = str(x)
for i in range(0, len(x)):
if i == len(x) - 1:
msg += f"{x[-(i + 1)]} + {b}{')' * i}"
else:
msg += f"{x[-(i + 1)]} + {b} \\times ("
y = convert_to_base_10(x, b)
msg += f"\n\n{x}_{{{b}}} = {y}_{{10}}"
return msg
def test_y_result_x1(self):
b = 6
x = 34152
y = convert_to_base_10(x, b)
assert y == 4820
def test_y_result_x_is_str(self):
y = convert_to_base_10(str(self.x), self.b)
assert y == 54333
def test_returns_int(self):
y = convert_to_base_10(self.x, self.b)
assert isinstance(y, int)
def setUp(self):
self.x = "100111110001101"
self.x_10 = convert_to_base_10(self.x, 2)
self.x_16 = convert_from_base_10(self.x_10, 16)