Question

question 17
the decimal equivalent of hexadecimal 16 is _________.
32₁₀
27₁₀
22₁₀
25₁₀

Explanation:

Step1: Hexadecimal to Decimal Conversion Formula

The formula for converting a hexadecimal number \(a_{n}a_{n - 1}\cdots a_{0}\) to decimal is \(\sum_{i = 0}^{n}a_{i}\times16^{i}\). For the hexadecimal number \(16\), \(n=1\), \(a_{1}=1\), \(a_{0}=6\).

Step2: Calculate the Decimal Value

$$
LATEXBLOCK0
$$

So the decimal equivalent of hexadecimal \(16\) is \(22_{10}\).

Answer:

C. \(22_{10}\)