What is the decimal equivalent of the binary number 1010?

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Question: What is the decimal equivalent of the binary number 1010?

Options:

Correct Answer: 10

Solution:

The binary number 1010 is equivalent to the decimal number 10.

What is the decimal equivalent of the binary number 1010?

What is the decimal equivalent of the binary number 1010?

Step 1: Understand that binary numbers are based on powers of 2.
Step 2: Write down the binary number 1010 and identify the position of each digit from right to left, starting at 0.
Step 3: The binary number 1010 has four digits: 1 (at position 3), 0 (at position 2), 1 (at position 1), and 0 (at position 0).
Step 4: Calculate the value of each digit by multiplying it by 2 raised to the power of its position:
- The leftmost 1 is in position 3: 1 * (2^3) = 1 * 8 = 8
- The next 0 is in position 2: 0 * (2^2) = 0 * 4 = 0
- The next 1 is in position 1: 1 * (2^1) = 1 * 2 = 2
- The rightmost 0 is in position 0: 0 * (2^0) = 0 * 1 = 0.
Step 5: Add all these values together: 8 + 0 + 2 + 0 = 10.
Step 6: Therefore, the decimal equivalent of the binary number 1010 is 10.

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