Decimal to unsigned binary

Convert decimal to unsigned binary number:

(Unsigned binary integer cannot represent negative decimal number).

1. Integer part:

adopt 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. Decimal part:

Use the "multiply 2 to round" method, that is, multiply the decimal part by 2, then take the integer part, and continue with the remaining decimal part Multiply by 2, then take the integer part, and multiply the remaining decimal part by 2 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

Everyone rounds to 0.125=(0.001)2

Signed and unsigned numbers:

Signed numbers: the highest bit represents Symbols, not numbers. The highest bit is 1, which means the number is negative; the highest bit is 0, which means the number is positive. Signed numbers can represent positive or negative numbers.

Unsigned number: can only represent positive numbers.

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