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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