What is the binary equivalent of the hexadecimal number 'A3'?

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Question: What is the binary equivalent of the hexadecimal number \'A3\'?

Options:

Correct Answer: 10100011

Solution:

The hexadecimal number \'A3\' converts to binary as 10100011.

What is the binary equivalent of the hexadecimal number 'A3'?

What is the binary equivalent of the hexadecimal number 'A3'?

Step 1: Understand that hexadecimal is a base-16 number system, and each digit can be represented by 4 binary digits (bits).
Step 2: Break down the hexadecimal number 'A3' into its individual digits: 'A' and '3'.
Step 3: Convert the first digit 'A' to binary. 'A' in hexadecimal is equal to 10 in decimal, which is 1010 in binary.
Step 4: Convert the second digit '3' to binary. '3' in hexadecimal is equal to 3 in decimal, which is 0011 in binary.
Step 5: Combine the binary representations of both digits. So, 'A' (1010) and '3' (0011) together form 10100011.
Step 6: Therefore, the binary equivalent of the hexadecimal number 'A3' is 10100011.

Hexadecimal to Binary Conversion – Understanding how to convert hexadecimal digits (base 16) to binary digits (base 2) by translating each hex digit into its 4-bit binary equivalent.