In the binary system, the number 10101.101 represents a valid binary fraction.a.Trueb.False

Break Down the Problem

1. Understand the components of a binary number and the structure of binary fractions.
2. Identify the validity of the number given in the binary system.

Relevant Concepts

1. A binary number consists of only the digits 0 and 1.
2. A valid binary fraction can have a binary point (analogous to the decimal point in decimal fractions).

Analysis and Detail

1. The given binary number is 10101.101.
2. We analyze the left and right of the binary point:
   • Left of the point: The portion 10101 is valid as it consists solely of 0s and 1s.
   • Right of the point: The portion 101 is also valid for the same reason.

Verify and Summarize

• Both parts of the binary number adhere to the rules of the binary system, containing only 0s and 1s.
• Therefore, the entire representation 10101.101 is a valid binary fraction.

Final Answer

a. True