If '1010' in binary is converted to decimal, what is the result?

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Question: If \'1010\' in binary is converted to decimal, what is the result?

Options:

Correct Answer: 10

Solution:

\'1010\' in binary is 1*8 + 0*4 + 1*2 + 0*1 = 10.

If '1010' in binary is converted to decimal, what is the result?

If '1010' in binary is converted to decimal, what is the result?

Step 1: Understand that '1010' is a binary number, which means it is in base 2.
Step 2: Write down the place values for each digit in '1010' from right to left: 1st place is 1, 2nd place is 2, 3rd place is 4, and 4th place is 8.
Step 3: Identify the digits in '1010': the first digit is 1, the second digit is 0, the third digit is 1, and the fourth digit is 0.
Step 4: Multiply each digit by its corresponding place value: 1*8 (for the first digit), 0*4 (for the second digit), 1*2 (for the third digit), and 0*1 (for the fourth digit).
Step 5: Calculate the results of the multiplications: 1*8 = 8, 0*4 = 0, 1*2 = 2, and 0*1 = 0.
Step 6: Add all the results together: 8 + 0 + 2 + 0 = 10.
Step 7: Conclude that '1010' in binary is equal to 10 in decimal.

Binary to Decimal Conversion – Understanding how to convert binary numbers to their decimal equivalents using positional values.