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Divide 101010 by 11 in binary number with full process​

User Armut
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Final answer:

The division of 101010 by 11 in binary is done using the binary division rule. It's similar to decimal long division but in base 2. After dividing, we get 11010 with no remainder.

Step-by-step explanation:

To divide 101010 by 11 in binary numbers, it's essential to understand how binary division works. It's very similar to conventional long division in decimal numbers, except that we work in base-2 (binary).

The division steps would be:

  1. Write down the binary numbers (dividend - 101010; divisor - 11).
  2. At the first step, take the first three digits from the dividend (101).
  3. 101 (5 in decimal) is greater than 11 (3 in decimal). So, put 1 above the line.
  4. Calculate (dividend - divisor) for the first three digits, which gives 10.
  5. Then, bring down the next two digits from the dividend (10).
  6. Follow this process for each step until there are no numbers to bring down from the dividend.

Following above procedure, the quotient becomes 11010 and there's no remainder, so 101010 divided by 11 in binary is 11010.

Learn more about Binary Division

User Adrien Gibrat
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