Number systems — Convert the decimal fraction 1/4 into its exact binary fraction form. Choose the correctly written binary value (use a leading 0 before the point).

Introduction / Context:
Converting fractional values between decimal and binary is a foundational skill in digital electronics and computer architecture. The task is to express 1/4 (which is 0.25 in decimal) exactly as a binary fraction, using correct positional weights to the right of the binary point.

Given Data / Assumptions:

• Target value: decimal 1/4 = 0.25.
• Binary place values to the right of the point are 2^-1, 2^-2, 2^-3, and so on.
• Binary fractions must be written with a leading 0 before the point for clarity.

Concept / Approach:
In binary, each fractional position represents a negative power of 2. The first place after the point is 1/2, the second is 1/4, the third is 1/8, etc. To represent 1/4 exactly, we need a 1 in the 2^-2 place and 0 in all other fractional places.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

Common Pitfalls:

Final Answer: