If the hexadecimal number A3 is converted to decimal, what is its value? (2023)

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Question: If the hexadecimal number A3 is converted to decimal, what is its value? (2023)

Options:

Correct Answer: 163

Exam Year: 2023

Solution:

A3 in hexadecimal is calculated as 10*16^1 + 3*16^0 = 160 + 3 = 163.

If the hexadecimal number A3 is converted to decimal, what is its value? (2023)

If the hexadecimal number A3 is converted to decimal, what is its value? (2023)

Step 1: Understand that hexadecimal is a base-16 number system. It uses digits 0-9 and letters A-F.
Step 2: Identify the digits in the hexadecimal number A3. Here, A is the first digit and 3 is the second digit.
Step 3: Convert the first digit (A) to decimal. A in hexadecimal is equal to 10 in decimal.
Step 4: Determine the place values for each digit. The first digit (A) is in the 16^1 place, and the second digit (3) is in the 16^0 place.
Step 5: Calculate the value of the first digit: 10 (from A) multiplied by 16 raised to the power of 1 (16^1). This equals 10 * 16 = 160.
Step 6: Calculate the value of the second digit: 3 multiplied by 16 raised to the power of 0 (16^0). This equals 3 * 1 = 3.
Step 7: Add the two values together: 160 (from A) + 3 (from 3) = 163.
Step 8: Conclude that the 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.