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What is the sum of the numbers 1010 (binary) and 1101 (binary) in decimal?

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Question: What is the sum of the numbers 1010 (binary) and 1101 (binary) in decimal?

Options:

  1. 23
  2. 20
  3. 25
  4. 22

Correct Answer: 20

Solution:

First convert to decimal: 1010 = 10 and 1101 = 13. The sum is 10 + 13 = 23.

What is the sum of the numbers 1010 (binary) and 1101 (binary) in decimal?

Practice Questions

Q1
What is the sum of the numbers 1010 (binary) and 1101 (binary) in decimal?
  1. 23
  2. 20
  3. 25
  4. 22

Questions & Step-by-Step Solutions

What is the sum of the numbers 1010 (binary) and 1101 (binary) in decimal?
  • Step 1: Convert the binary number 1010 to decimal. The calculation is: 1*2^3 + 0*2^2 + 1*2^1 + 0*2^0 = 8 + 0 + 2 + 0 = 10.
  • Step 2: Convert the binary number 1101 to decimal. The calculation is: 1*2^3 + 1*2^2 + 0*2^1 + 1*2^0 = 8 + 4 + 0 + 1 = 13.
  • Step 3: Add the two decimal numbers together. The calculation is: 10 + 13 = 23.
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