Solve any maths problem

Step by step

1. 2024_{10} \to \text{base } 2

   Repeatedly divide by 2; the remainders, read bottom-up, are the digits.

2. 2024 = 1012 \times 2 + 0

   remainder 0

3. 1012 = 506 \times 2 + 0

   remainder 0

4. 506 = 253 \times 2 + 0

   remainder 0

5. 253 = 126 \times 2 + 1

   remainder 1

6. 126 = 63 \times 2 + 0

   remainder 0

7. 63 = 31 \times 2 + 1

   remainder 1

8. 31 = 15 \times 2 + 1

   remainder 1

9. 15 = 7 \times 2 + 1

   remainder 1

10. 7 = 3 \times 2 + 1

    remainder 1

11. 3 = 1 \times 2 + 1

    remainder 1

12. 1 = 0 \times 2 + 1

    remainder 1

Reveal the answer

2024_{10} = 11111101000_{2}