If 'A' represents 10 in a hexadecimal system, what is the decimal equivalent of

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Question: If \'A\' represents 10 in a hexadecimal system, what is the decimal equivalent of \'1A\'?

Options:

Correct Answer: 26

Solution:

\'1A\' in hexadecimal is calculated as 1*16^1 + 10*16^0 = 16 + 10 = 26.

If 'A' represents 10 in a hexadecimal system, what is the decimal equivalent of '1A'?

If 'A' represents 10 in a hexadecimal system, what is the decimal equivalent of '1A'?

Step 1: Understand that '1A' is a number in the hexadecimal system.
Step 2: Recognize that in hexadecimal, 'A' represents the decimal number 10.
Step 3: Break down '1A' into its components: '1' and 'A'.
Step 4: Identify the place values: '1' is in the 16's place (16^1) and 'A' is in the 1's place (16^0).
Step 5: Convert '1' to decimal: 1 * 16^1 = 1 * 16 = 16.
Step 6: Convert 'A' to decimal: 10 * 16^0 = 10 * 1 = 10.
Step 7: Add the two results together: 16 + 10 = 26.
Step 8: Conclude that the decimal equivalent of '1A' is 26.

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