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Sequentially divide it by two, rounding down each time and recording the remainder. Read that sequence of remainders backwards, and that is your binary value.

203 / 2 = 101 R 1

101 / 2 = 50 R 1

50 / 2 = 25 R 0

25 / 2 = 12 R 1

12 / 2 = 6 R 0

6 / 2 = 3 R 0

3 / 2 = 1 R 1

1 / 2 = 0 R 1

So 203 in decimal can be expressed as 11001011 in binary. Now we can confirm this:

1 * 128 + 1 * 64 + 0 * 32 + 0 * 16 + 1 * 8 + 0 * 4 + 1 * 2 + 1 * 1

= 128 + 64 + 8 + 2 + 1

= 203

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Q: How do you convert decimal number 203 to binary?
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Related questions

What is the binary number 11001011 when written in base 10?

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Is there a formula that can be used to convert Binary to decimal that is straight forward?

If you mean a straight forward algorithm, then yes.I guess you want to know what it is...Start at the left hand end of the binary number with the result (decimal number) set to zerodouble the result and add the current binary digitif there are more binary digits move one binary digit to the right and repeat step 2repeat steps 2 and 3 until all the binary digits have been used.the result is the decimal equivalentfor example converting 101002 to decimal:1. set result to 0, start with the first binary digit (of 10100) which is 12. 2 x 0 + 1 = 13. 2nd binary digit (of 10100) is 02. 2 x 1 + 0 = 23. 3rd binary digit (of 10100) is 12. 2 x 2 + 1 = 53. 4th binary digit (of 10100) is 02. 2 x 5 + 0 = 103. 5th binary digit (of 10100) is 02. 2 x 10 + 0 = 203. no more binary digits4. 101002 = 2010


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The decimal 0.203 as a fraction is: 203/1000


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