Decimal to Binary Converter

Please Explain How Negative number Stored In Binary and Conversion of the Same

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Write out the table of 2's - 1 2 4 8 16 32 64 128 256
0 1 0 1 0 1 0 0 0
say you want to know what 42 is in binary
start at the table from right to left, so start with 256 column, if 256 is > than 42 then put a 0 in the 256 column, 128 is > 42 so a zero in the 128 column, 64 is > 42 then another zero, 32 < than 42 so you put a 1 in the 42 column, after subtracting 32 from 42 you have 10 left, then go to the next number in the row which is 16, 16 is > 10 so put a 0 in the 16 column, then next number in the row is 8 and 8 can be subtracted from 10 so put a 1 in the 8 column, 10 - 8 leaves 2 left, 4 is > than the remaining 2 left so put a zero in the 4 column, the next number in the row is 2, so 2 - 2 = 0 so put a 1 in the 2 column, since there's nothing left put a 0 in the 1 column... now looking at your chart you can read your binary number from right to left, which is 010101000 which = 42 in binary

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How to convert fractional decimals to binaries?

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@madan
I have always had a problem with Binary. I found it easiest to remember the power of 2 up to a certain number (usually 128 is something I start with), and then you can extrapolate up from there. So what I do to do this freehand, I start with a number I know, let's say you remember 64 is the highest 2 bit operator you remember, so I multiply that until I get over the number I have to convert. So 1024 is too large, so 512 is the first binary number that isn't too large, so you set the bit to 1.
1
Next is 256, and the remainder from subtracting 512 from 789 is 277. You set the bit to 1 to indicate 256.
11
Next is 128, but your remainder is 21. That bit is 0.
110
64, bit is 0.
1100
32, your remainder is 21, so the bit is 0.
11000
16, which is less than 21. So the bit is 1. Remainder is now 5.
110001
8 is the next 2 bit, it's greater than 5 so the bit is 0.
1100010
4, remainder 1. Bit is 1
11000101
2, bit is 0
110001010
1, bit is 1
1100010101
It's tedious, but works. I checked against the calculation on the page, and it's accurate. If you need to put it in bytes, it would be 0011 0001 0101. Each byte is 4 bits, zero padded

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29.135 decimal to binary

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What about converting a number such as 125.625

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