Reversing an integer mathematically

Reversing an integer mathematically means using arithmetic operations — no programming, no strings. Here's how you can do it step by step:

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🔁 Mathematical Method to Reverse an Integer

Let’s say the number is 1234.

Step-by-step:

1. Initialize a result variable to 0.
2. Repeat until the number becomes 0:
   • Get the last digit using modulus: digit = number % 10
   • Add it to result after shifting result left: result = result * 10 + digit
   • Remove the last digit from number: number = number / 10 (integer division)

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🧮 Example: Reverse 1234

Step	Number	Digit (%10)	Result (*10 + digit)
1	1234	4	0 * 10 + 4 = 4
2	123	3	4 * 10 + 3 = 43
3	12	2	43 * 10 + 2 = 432
4	1	1	432 * 10 + 1 = 4321

Final result: 4321

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🧠 Notes

• Works for any positive integer.
• For negative numbers, reverse the digits and reapply the negative sign.
• Leading zeros in the reversed number are dropped (e.g., 1200 → 21).

Would you like to try this with a specific number or see how it works with arrays?