# In the hexadecimal numbering system, the number 16 is expressed as?

The hexadecimal numbering system is very useful for various purposes, which include microprocessor interfacing and other concepts in advanced mathematics. These are used to help machines understand codes in an efficient manner. We can convert decimal numbers to hexadecimal by few easy steps. Let's see how.

## Answer: The number 16 is expressed as 10 in the hexadecimal system.

Let's understand how we arrive at the solution.

**Explanation:**

To convert decimal 16 to hexadecimal, we follow these steps:

Step 1: Convert the decimal number to 4-bit Binary Number.

Hence, when 16 is equivalent to 0001 0000 in 4-bit Binary System.

Also, we have the counting from 0 to F in the hexadecimal system, which is equivalent to 0 to 15 in the decimal system.

Step 2: Now, divide the number by 16.

Hence, 16 divided by 16 is 1.

Step 3: Further divide the number till the remainder is greater than 0. If there is no remainder, then you need to include zero in the final result.

Hence, for 16, there is no remainder, so you need to include zero in the answer.

### hence, The number 16 is expressed as 10 in the hexadecimal system.

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