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Every decimal number can be represented by a binary number - and conversely.
That is the definition of a rational number.
No, a rational number, expressed as decimal, is either a terminating decimal, such as 1/4 = 0.25, or a repeating decimal, such as 1/7 = 0.142857 142857 142857 ...
Any real number can be represented as a decimal number.
The binary number represented by 00101111 is equivalent to the decimal number 47.