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What is the decimal equivalent of the binary number 1011?

Practice Questions

Q1
What is the decimal equivalent of the binary number 1011?
  1. 8
  2. 10
  3. 11
  4. 12

Questions & Step-by-Step Solutions

What is the decimal equivalent of the binary number 1011?
  • Step 1: Write down the binary number 1011.
  • Step 2: Identify the position of each digit from right to left, starting with 0. The positions are: 3, 2, 1, 0.
  • Step 3: Multiply each digit by 2 raised to the power of its position. This gives us: 1*2^3, 0*2^2, 1*2^1, and 1*2^0.
  • Step 4: Calculate each multiplication: 1*2^3 = 8, 0*2^2 = 0, 1*2^1 = 2, and 1*2^0 = 1.
  • Step 5: Add all the results together: 8 + 0 + 2 + 1.
  • Step 6: The final result is 11, which is the decimal equivalent of the binary number 1011.
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