In a number system, if 'C' represents 12, what is the value of 'C0' in decimal?

₹0.0

Question: In a number system, if \'C\' represents 12, what is the value of \'C0\' in decimal?

Options:

Correct Answer: 120

Solution:

\'C0\' = 12*10^1 + 0*10^0 = 120 in decimal.

In a number system, if 'C' represents 12, what is the value of 'C0' in decimal?

In a number system, if 'C' represents 12, what is the value of 'C0' in decimal?

Step 1: Understand that 'C' represents the number 12 in this number system.
Step 2: Recognize that 'C0' means 'C' followed by '0'.
Step 3: Break down 'C0' into its components: 'C' is 12 and '0' is 0.
Step 4: Identify the place values: 'C' is in the tens place (10^1) and '0' is in the ones place (10^0).
Step 5: Calculate the value of 'C0' using the formula: 'C0' = (value of C * 10^1) + (value of 0 * 10^0).
Step 6: Substitute the values: 'C0' = (12 * 10) + (0 * 1).
Step 7: Perform the calculations: 'C0' = 120 + 0.
Step 8: Conclude that 'C0' equals 120 in decimal.

Base Conversion – Understanding how to convert numbers from one base to another, specifically from a base where 'C' represents 12 to decimal.
Place Value – Recognizing the significance of each digit's position in a number, particularly in a positional number system.