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Prove that 66 = 1000010. Show your work!

Prove that 66 = 1000010.

Show your work!

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Answer #1 

Divide 66 successively by 2 until the quotient is 0
   > 66/2 = 33, remainder is 0
   > 33/2 = 16, remainder is 1
   > 16/2 = 8, remainder is 0
   > 8/2 = 4, remainder is 0
   > 4/2 = 2, remainder is 0
   > 2/2 = 1, remainder is 0
   > 1/2 = 0, remainder is 1
Read remainders from the bottom to top as 1000010
So, 66 of decimal is 1000010 in binary
Answer: 1000010


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