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What is the sum of the decimal equivalents of '101' and '110' in binary?

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Question: What is the sum of the decimal equivalents of \'101\' and \'110\' in binary?

Options:

  1. 5
  2. 6
  3. 7
  4. 8

Correct Answer: 7

Solution:

\'101\' is 5 and \'110\' is 6 in decimal. Their sum is 5 + 6 = 11.

What is the sum of the decimal equivalents of '101' and '110' in binary?

Practice Questions

Q1
What is the sum of the decimal equivalents of '101' and '110' in binary?
  1. 5
  2. 6
  3. 7
  4. 8

Questions & Step-by-Step Solutions

What is the sum of the decimal equivalents of '101' and '110' in binary?
  • Step 1: Understand that '101' and '110' are binary numbers.
  • Step 2: Convert '101' from binary to decimal. The calculation is: (1 * 2^2) + (0 * 2^1) + (1 * 2^0) = 4 + 0 + 1 = 5.
  • Step 3: Convert '110' from binary to decimal. The calculation is: (1 * 2^2) + (1 * 2^1) + (0 * 2^0) = 4 + 2 + 0 = 6.
  • Step 4: Add the decimal equivalents together. So, 5 + 6 = 11.
  • Step 5: The final answer is 11.
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