In converting the hexadecimal number 1A to decimal, what is the result?

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Question: In converting the hexadecimal number 1A to decimal, what is the result?

Options:

Correct Answer: 26

Solution:

The hexadecimal number 1A converts to decimal as 1*16^1 + 10*16^0 = 26.

In converting the hexadecimal number 1A to decimal, what is the result?

In converting the hexadecimal number 1A to decimal, what is the result?

Step 1: Understand that hexadecimal is a base-16 number system.
Step 2: Identify the digits in the hexadecimal number 1A. The '1' is in the 16's place and 'A' represents 10 in decimal.
Step 3: Calculate the value of the first digit: 1 * 16^1 = 1 * 16 = 16.
Step 4: Calculate the value of the second digit: 10 * 16^0 = 10 * 1 = 10.
Step 5: Add the two results together: 16 + 10 = 26.
Step 6: Conclude that the decimal equivalent of the hexadecimal number 1A is 26.

Hexadecimal to Decimal Conversion – Understanding how to convert numbers from base 16 (hexadecimal) to base 10 (decimal) using positional values.