If 'C' represents 12 in a hexadecimal system, what is the decimal equivalent of

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Question: If \'C\' represents 12 in a hexadecimal system, what is the decimal equivalent of \'2C\'?

Options:

Correct Answer: 44

Solution:

\'2C\' in hexadecimal is calculated as 2*16^1 + 12*16^0 = 32 + 12 = 44.

If 'C' represents 12 in a hexadecimal system, what is the decimal equivalent of '2C'?

If 'C' represents 12 in a hexadecimal system, what is the decimal equivalent of '2C'?

Step 1: Understand that 'C' in hexadecimal represents the decimal number 12.
Step 2: Break down '2C' into its components: '2' and 'C'.
Step 3: Recognize that '2' is in the 16's place (16^1) and 'C' is in the 1's place (16^0).
Step 4: Convert '2' to decimal: 2 * 16^1 = 2 * 16 = 32.
Step 5: Convert 'C' to decimal: 12 * 16^0 = 12 * 1 = 12.
Step 6: Add the two decimal values together: 32 + 12 = 44.
Step 7: Conclude that the decimal equivalent of '2C' is 44.

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