If '1010' in binary is equal to 'A' in hexadecimal, what is the decimal value of

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Question: If \'1010\' in binary is equal to \'A\' in hexadecimal, what is the decimal value of \'A\'?

Options:

Correct Answer: 10

Solution:

\'1010\' in binary is 10 in decimal, which is represented as \'A\' in hexadecimal.

If '1010' in binary is equal to 'A' in hexadecimal, what is the decimal value of 'A'?

If '1010' in binary is equal to 'A' in hexadecimal, what is the decimal value of 'A'?

Step 1: Understand that binary is a base-2 number system, which uses only 0s and 1s.
Step 2: Convert the binary number '1010' to decimal. To do this, calculate: (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (0 * 2^0).
Step 3: Calculate each part: 1 * 2^3 = 8, 0 * 2^2 = 0, 1 * 2^1 = 2, 0 * 2^0 = 0.
Step 4: Add the results together: 8 + 0 + 2 + 0 = 10.
Step 5: Recognize that in hexadecimal (base-16), the number 10 is represented as 'A'.
Step 6: Therefore, the decimal value of 'A' is 10.

Binary to Decimal Conversion – Understanding how to convert binary numbers to their decimal equivalents.
Hexadecimal Representation – Recognizing that hexadecimal 'A' corresponds to the decimal value 10.