def transfer_function_Rec2020_10bit_to_linear(v):
    """
    The Rec.2020 10-bit transfer function.

    Parameters
    ----------
    v : float
        The normalized value to pass through the function.

    Returns
    -------
    float
        A converted value.
    """

    a = 1.099
    b = 0.018
    d = 4.5
    g = (1.0 / 0.45)

    if v < b * d:
        return v / d

    return pow(((v + (a - 1)) / a), g)