Define decimal to binary conversion. Convert (12.45)10 to binary

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In decimal to binary conversion, we convert a base 10 number to a base 2 number by using simple methods. For example, if 1210 is a decimal number then its equivalent binary number is 11002. Thus, it is easy to convert the given decimal to binary.

Solution:

(12.45)10 => (?)2

Now,

Integral Part:

Divided by Quotient Remainder
2 12 / 2 = 6 0
2 6 / 2 = 3 0
2 3 / 2 = 1 1
2 1 / 2 = 1 1

(12)10 = (1100)2

Now, we will calculate for the fractional part.

Fractional Part (0.45):

0.45 * 2 = 0.90    →   0

0.9 * 2 = 1.8    →   1

0.8 * 2 = 1.6    →   1

0.6 * 2 = 1.2    →   1

0.2 * 2 = 0.4    →   0

0.4 * 2 = 0.8    →   0

0.8 * 2 = 1.6    →   1

0.6 * 2 = 1.2    →   1

0.2 * 2 = 0.4    →   0

0.4 * 2 = 0.8    →   0

0.8 * 2 = 1.6    →   1

Therefore, (12.45)10 = (1100.01110011001)2

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