In the binary system, the number 10101.101 represents a valid binary fraction.a.Falseb.True

Answer

The number 10101.101 in the binary system does indeed represent a valid binary fraction. In binary, digits can only be 0 or 1. The part before the decimal (10101) and the part after the decimal (101) both consist only of these valid binary digits.

Here’s a breakdown:

1. Integer Part: 10101 (which is $1 \times 2^4 + 0 \times 2^3 + 1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 = 16 + 0 + 4 + 0 + 1 = 21$).
2. Fractional Part: 101 (which is $1 \times 2^{-1} + 0 \times 2^{-2} + 1 \times 2^{-3} = 0.5 + 0 + 0.125 = 0.625$).

Thus, the complete representation of the number is valid in binary.

Final Answer

b. True