Decimal to binary formula

1. Convert decimal integer to binary integer:

adopts the method of "divide by 2, take remainder, and arrange in reverse order". Divide a decimal integer by 2 to get a quotient and a remainder; then divide the quotient by 2 to get a quotient and a remainder. This continues until the quotient is less than 1, and then the remainder obtained first is valid as the low-order bit of the binary number. bits, and the remainder obtained is used as the high-order significant bit of the binary number, and is arranged in sequence.

Example:

255=（11111111）B
255/2=127余1
127/2=63余1
63/2=31余1
31/2=15余1
15/2=7余1
7/2=3余1
3/2=1余1
1/2=0余1

The reverse order is 11111111.

2. Convert decimal to binary:

Use the "multiply 2 to round" method, that is, multiply the decimal part by 2, then take the integer part, and the remaining The decimal part continues to be multiplied by 2, then the integer part is taken, and the remaining decimal part is multiplied by 2 again until the decimal part is zero.

Example: Convert 0.125 to binary, the result is: Convert 0.125 to binary (0.001) 2.

0.125*2=0.25

0.25*2=0.5

0.5*2=1.0

Please round up to 0.125=(0.001)2

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