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If the number 1011 in binary is converted to decimal, what is the result?

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Question: If the number 1011 in binary is converted to decimal, what is the result?

Options:

  1. 11
  2. 10
  3. 12
  4. 13

Correct Answer: 11

Solution: 

To convert from binary to decimal, calculate: 1*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 8 + 0 + 2 + 1 = 11.

If the number 1011 in binary is converted to decimal, what is the result?

Practice Questions

Q1
If the number 1011 in binary is converted to decimal, what is the result?
  1. 11
  2. 10
  3. 12
  4. 13

Questions & Step-by-Step Solutions

If the number 1011 in binary is converted to decimal, what is the result?
  • Step 1: Write down the binary number: 1011.
  • Step 2: Identify the place values for each digit from right to left: 2^0, 2^1, 2^2, 2^3.
  • Step 3: Assign the place values to each digit: 1 (2^3), 0 (2^2), 1 (2^1), 1 (2^0).
  • Step 4: Calculate the value for each digit: 1*2^3 = 8, 0*2^2 = 0, 1*2^1 = 2, 1*2^0 = 1.
  • Step 5: Add all the values together: 8 + 0 + 2 + 1.
  • Step 6: The final result is 11.
  • Binary to Decimal Conversion – Understanding how to convert binary numbers (base 2) to decimal numbers (base 10) using powers of 2.
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