import random

def generate_question():
    base = random.choice([2, 8, 10, 16])
    num1 = random.randint(10, 15)
    num2 = random.randint(1, 9)

    if base == 10:
        num1_rep = str(num1)
        num2_rep = str(num2)
    elif base == 2:
        num1_rep = bin(num1)[2:]
        num2_rep = bin(num2)[2:]
    elif base == 8:
        num1_rep = oct(num1)[2:]
        num2_rep = oct(num2)[2:]
    elif base == 16:
        num1_rep = hex(num1)[2:].upper()
        num2_rep = hex(num2)[2:].upper()

    difference_decimal = num1 - num2
    if base == 10:
        correct_answer = str(difference_decimal)
    elif base == 2:
        correct_answer = bin(difference_decimal)[2:]
    elif base == 8:
        correct_answer = oct(difference_decimal)[2:]
    elif base == 16:
        correct_answer = hex(difference_decimal)[2:].upper()

    steps = [
        f"Convert {num1_rep} and {num2_rep} to decimal if needed.",
        f"Subtract the numbers: {num1} - {num2} = {difference_decimal} in decimal.",
        f"Convert {difference_decimal} from decimal to base {base}.",
        f"The result in base {base} is {correct_answer}."
    ]

    question_data = {
        "question": f"Subtract {num2_rep} from {num1_rep} in base {base}.",
        "options": [correct_answer] + [str(random.randint(1, 10)) for _ in range(3)],
        "correct_answer": correct_answer,
        "explanation": f"The result of subtracting {num2_rep} from {num1_rep} in base {base} is {correct_answer}.",
        "step_by_step_solution": steps
    }

    return question_data