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January 5th, 2017, 06:39 PM   #1
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My Teacher Isn't Believing Me That He Did His Binary Wrong

For the number 356 to binary, I got "101100100" and I used several different online converters to confirm, and did a trick that my teacher taught me awhile back. He used the Windows 10 calculator and the divide method and got "001011010" but with his, it isn't converted properly because the 8th and 9th number has to be less than 128.

I did my method on the test and I know he's going to mark them wrong. Am I correct?
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January 6th, 2017, 05:36 AM   #2
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You are correct if the number 356 is decimal. The binary number 001011010 corresponds to the decimal number 90.
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January 6th, 2017, 07:21 AM   #3
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For the binary number you have: 101100100

The LSB (Least Significant Bit - Rightmost Number) is 1 in decimal, followed by 2, 4 etc.

Your MSB (Most Significant Bit - Leftmost Number) is 256 in decimal.

Therefore you have, 4 + 32 + 64 + 256 = 356.

Your answer is indeed correct.

The values for each bit come from the base of the number, take 1001 in binary for example. In decimal it is:

$\displaystyle 1\times2^0+0\times2^1+0\times2^2+1\times2^3= 1\times1+0\times2+0\times4+ 1 \times 8=9$
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