In converting the hexadecimal number 'A3' to decimal, what is the resulting valu

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Question: In converting the hexadecimal number \'A3\' to decimal, what is the resulting value?

Options:

Correct Answer: 163

Solution:

The hexadecimal number \'A3\' converts to decimal as follows: A (10)*16^1 + 3*16^0 = 160 + 3 = 163.

In converting the hexadecimal number 'A3' to decimal, what is the resulting value?

In converting the hexadecimal number 'A3' to decimal, what is the resulting value?

Step 1: Identify the hexadecimal number. Here, the number is 'A3'.
Step 2: Break down the hexadecimal number into its individual digits. 'A' is the first digit and '3' is the second digit.
Step 3: Convert each hexadecimal digit to decimal. 'A' in hexadecimal is 10 in decimal, and '3' remains 3.
Step 4: Determine the place value of each digit. The first digit 'A' is in the 16^1 place (which is 16), and the second digit '3' is in the 16^0 place (which is 1).
Step 5: Multiply each decimal value by its place value. For 'A': 10 * 16^1 = 10 * 16 = 160. For '3': 3 * 16^0 = 3 * 1 = 3.
Step 6: Add the results from Step 5 together. 160 + 3 = 163.
Step 7: The final decimal value of the hexadecimal number 'A3' is 163.

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