Q&A for How to Convert from Decimal to Binary

If the decimal number has a fractional part, then the fractional parts are converted into binary by multiplying it by 2. Only the integer part of the result is noted. Repeat the multiplication until the fractional part becomes 0 or until the sequence repeats itself. E.g. 0.375 is the number we want to convert, so we'll start multiplying it by 2. 0.375*2=0.75. Here, the integer part is 0, note it down, and the fractional part is not 0, so we repeat this until the fractional part becomes 0 or the sequence repeats itself. Next, 0.75*2=1.50, note down 1, subtract 1 to get 0.50. 0.50*2=1.00. We stop here because the fractional part is 0, and make note of the 1. Then take the integer parts we noted: 0,1,1, and place them after the decimal point to get .011. Therefore, 0.011 is the binary form of 0.375

Convert the mixed number to a decimal, then follow the instructions in the article above.

Start by converting 0.2663 into the fraction 2,663 / 10,000 . Use the steps above to convert 2,663 into the binary number 1010 0110 0111 and 10,000 into 10 0111 0001 0000 . So, now we have a binary fraction: 1010 0110 0111 / 10 0111 0001 0000 . Divide 1010 0110 0111 by 10 0111 0001 0000 . To do this, follow the WikiHow article: "How to Divide Binary Numbers". When you divide 1010 0110 0111 by 10 0111 0001 0000 you should get 0.0100 0100 0010... I rounded to the nearest 4,096 th.

Divide 56 by 2 to get the quotient as 28 and the remainder as 0, then again, divide 28 by 2, to get 14 and remainder 0, and so on. Note the remainders you obtain are in this order: 0,0,0,1,1,1. Now all the remainders you got from last to first will give you the binary. 56₁₀ = 111000₂.

2^4=16 2^3=8 2^2=4 2^1=2 2^0=1, etc. If my number is 19 in decimal form, it's going to require 16 and 2 and 1, so I put a 1 in those locations and a 0 in the rest. 2^4=16 2^3=8 2^2=4 2^1=2 2^0=1. So for 10011= 16 + 0 + 0 + 2 + 1 = 19

The octal number 146 converts to the decimal number 102. This is because 146 has a 6 in the 1's place, a 4 in the 8's place and a 1 in the 64's place. This gives us: (6 x 1) + (4 x 8) + (1 x 64) = 6 + 32 + 64 = 102.

Convert the numerator and denominator to binary individually. To convert decimals, use the subtraction method above, using halves, quarters, eighths, sixteenths, and so on for the new places.

The decimal number 11,111 converts to 10 1011 0110 0111 in binary. If you follow the steps above, you will arrive at this answer.

See the wikiHow article How to Convert from Decimal to Octal .

(348)10 converts to (534)8. See the WikiHow page How to Convert from Decimal to Octal to learn how to do this yourself.

Multiply the decimal by 2 and take the digit on the left of the decimal point. Then take the remaining decimal and repeat till your decimal is .0000.

First, determine the values of the ones: 1 x 128 = 128, 1 x 32 = 32, 1 x 8 = 8, 1 x 2 = 2. Then, add the values together: 128 + 32 + 8 + 2 = 170.

There would be 1 in the 16 column, 0 in the 8 column, 1 in the 4 column, 1 in the 2 column, and 1 in the 1 column, for an answer of 10111.

The binary of 4810 is 1001011001010.

88/2=44 rem 0, 44/2=22 rem 0, 22/2=11 rem 0, 11/2=5 rem 1, 5/2=2 rem 1, 2/2=1 rem 0, 1/2=0 rem 1. Collect all the remainders from last to first to get 1011000.

Convert the positive number and use two's complement to convert to the negative version. If you don't know how two's complement works, it comes down to this: Do +1 to the positive and invert all the zeros and ones.

Make it like just as they showed above. You can also convert it in Microsoft Excel by using the formula: =dec2bin.

Power the numbers in the equation starting at 0 to amount of numbers in the equation, then divide each number by 2. And if the result comes to a 0.5=, that means it will have a remainder and it will represent 1. If it's even, then the number represented is 0.

Assuming "df2 sixteen" is a hexadecimal (base 16) number, which is usually written 0x0DF2 showing four hexadecimal digits prefixed with 0x (indicating hexadecimal). Translating each hexadecimal digit to its binary (b) equivalent looks like this: 0x0 = 0000b (0+0+0+0=00), 0xD = 1101b (8+4+0+1=13), 0xF = 1111b (8+4+2+1=15), 0x2 = 0010b (0+0+2+0=02). Therefore, 0x0DF2 = 0000 1101 1111 0010 b.

Convert the mixed number to a decimal. Then take your number and divide it by 2. as you keep multiplying it down by 2 until you get two the lowest form you must either put a 0 if there was no remainder or a 1 for the remainder. Do that until you cannot divide it by 2 no longer. Your answer should only have a 0 or 1.

You first have to see how many powers of 12 go into your decimal number. If the largest power of 12 that goes into it is 12^3, then you would put down the quotient (for example 3), then you would divide the remainder by 12 to the 2nd power. If it doesn't go in. put a 0. Then divide the remainder again by 12. If it was 3 with a remainder of 2, your answer would be 3032 base 12.

You would start from left to right and start with the 1. We know that the 1 stands for the remainder. the as we go up we just double the number . if there is a one there that means that there was a remainder left, it is still double the number just plus one because 2 didn't divide evenly into that number. keep going until you get to the last 0 and you will have your number.

In base 10, there are ten possible symbols in each "place" of the number: 0-9. In binary, there are only two possible symbols in each place: 0 or 1. This is useful when digital electronics use circuits that are either on (1) or off (0) to indicate the value of that binary number. Putting multiple binary circuits next to each other creates a "register" for numbers larger than 0 or 1.

An IP (v4) address is 32 bits or four bytes. A byte ranges from 0 to 255, so each number separated by a period can be up to 255, e.g. 255.255.255.255. Simply convert each decimal number of your IP address to binary, if the binary number is less than 8 bits, pad it on the left with 0s to 8 bits. 192.168.1.1 = 11000000.10101000.00000001.00000001(binary). Then remove all the dots and concatenate all your binary numbers to get 11000000101010000000000100000001.