If the number 1A in hexadecimal is converted to decimal, what is the result?

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Question: If the number 1A in hexadecimal is converted to decimal, what is the result?

Options:

Correct Answer: 26

Solution:

In hexadecimal, A represents 10. Therefore, 1A = 1*16^1 + 10*16^0 = 16 + 10 = 26.

If the number 1A in hexadecimal is converted to decimal, what is the result?

If the number 1A in hexadecimal is converted 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. Here, '1' is in the 16's place and 'A' is in the 1's place.
Step 3: Convert 'A' to its decimal equivalent. In hexadecimal, 'A' represents the decimal number 10.
Step 4: Calculate the value of '1' in the 16's place. This is done by multiplying 1 by 16 raised to the power of 1 (1 * 16^1 = 16).
Step 5: Calculate the value of 'A' in the 1's place. This is done by multiplying 10 by 16 raised to the power of 0 (10 * 16^0 = 10).
Step 6: Add the results from Step 4 and Step 5 together (16 + 10 = 26).
Step 7: The final result is 26 in decimal.

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