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

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

Options:

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

Correct Answer: 11

Solution: 

The binary number 1011 converts to decimal as follows: 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 its value?

Practice Questions

Q1
If the number 1011 in binary is converted to decimal, what is its value?
  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 its value?
  • Step 1: Write down the binary number: 1011.
  • Step 2: Identify the position of each digit from right to left, starting at 0: 1 (3), 0 (2), 1 (1), 1 (0).
  • Step 3: Convert each binary digit to decimal by multiplying it by 2 raised to the power of its position: 1*2^3, 0*2^2, 1*2^1, 1*2^0.
  • Step 4: Calculate each multiplication: 1*2^3 = 8, 0*2^2 = 0, 1*2^1 = 2, 1*2^0 = 1.
  • Step 5: Add all the results together: 8 + 0 + 2 + 1 = 11.
  • Binary to Decimal Conversion – Understanding how to convert binary numbers to decimal by using powers of 2.
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