What is the binary equivalent of the hexadecimal number A5?

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To convert the hexadecimal number A5 into its binary equivalent, we start by converting each individual hexadecimal digit to binary.

The hexadecimal system is based on 16, where A represents the decimal value 10 and 5 remains as 5 in decimal.

  • The hexadecimal digit A corresponds to the binary equivalent of 1010. Each hexadecimal digit can be represented by a 4-bit binary number, and for A, the conversion is:

  • A (10 in decimal) = 1010 in binary

  • The hexadecimal digit 5 corresponds to the binary equivalent of 0101:

  • 5 (5 in decimal) = 0101 in binary

Now, we can combine these two binary values to form the complete binary representation of the hexadecimal number A5:

  • A5 in hexadecimal translates to 1010 (A) followed by 0101 (5), resulting in 10100101.

Thus, the binary equivalent of A5 is indeed 10100101, making it the correct choice.

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