**Numbers without Fractional Part :**

- Division Method is used to convert such numbers from base 10 to another base
- The division is performed with the required base

**Steps To Convert From Base 10 to Base 16**

- Divide the given number (in base 10) with 16 until the result finally left is less than 16
- Traverse the remainders from bottom to top to get the required number in base 16

**Numbers with Fractional Part :**

- To convert such numbers from base 10 to another base, real part and fractional part are treated separately
**For Real Part :**- The steps involved in converting the real part from base 10 to another base are same as above.

**For Fractional Part :**- Multiplication Method is used to convert fractional part from base 10 to another base.
- The multiplication is performed with the required base

**Example 1 (Real Number):**

5815\(_{10}\) → (**?**)\(_{16}\)

**Steps :**

- 5815 / 16 = 363.4375
**Fractional Part Separated**0.4375 * 16 = 7 or use**mod operation (5815 mod 16 = 7)** - 363 / 16 = 22 → Reminder → 11 (which is “
**B**” in Hexadecimal) - 22 / 16 = 1 → Reminder → 6
- 1 / 16 = 0 → Reminder → 1
- Result is 16B7\(_{16}\)

**Example 2 (Real Number with Fractional Part):**

- 5815.65625\(_{10}\) → (16B7.
**?**)\(_{16}\) - Real Part Result is 16B7\(_{16}\)

**Fractional Part :**

- 0.65625 * 16 = 10.5 (10 in hexadecimal is “
**A**”) - 0.5 * 16 = 8
- Result is A8

Final Result is 16B7.A8\(_{16}\)

Informative :ASCII to Hex Table and Modulo Calculator