Bit significance and notation: “In positional binary numbers, the least significant bit (LSB) is always to the right of the most significant bit (MSB).” Evaluate the statement.

Difficulty: Easy

Correct Answer: Correct

Explanation:


Introduction / Context:
Reading and writing binary numbers requires a consistent understanding of bit order. The position of the least significant bit (LSB) relative to the most significant bit (MSB) is fundamental in arithmetic, shifting, and hardware design documentation.


Given Data / Assumptions:

  • We are discussing a written binary numeral in standard positional notation (not memory byte order).
  • LSB denotes weight 2^0; MSB denotes the highest positional weight present.
  • No ambiguity between storage endianness and written numeral convention.


Concept / Approach:
In positional notation, digits increase in weight from right to left. Therefore, the LSB, with weight 2^0, is placed on the far right of the written number, while the MSB sits on the far left. This mirrors decimal notation, where the ones place is to the right.


Step-by-Step Solution:

Identify positional weights: …, 2^3, 2^2, 2^1, 2^0.Place 2^0 (LSB) at the rightmost position.Place the largest used power (MSB) at the leftmost position.Conclude that LSB is to the right of MSB in written binary numerals.


Verification / Alternative check:
Example: 10110 has weights (from left) 2^4 to 2^0. The rightmost 0 is the LSB; leftmost 1 is the MSB. Arithmetic and shift operations follow this convention.


Why Other Options Are Wrong:

  • Incorrect: Opposes positional notation.
  • Only true for signed magnitude / big-endian / radix point present: Bit order in written numerals does not depend on sign encoding, endianness of memory storage, or presence of a point.


Common Pitfalls:
Confusing numeral writing order with memory endianness; endianness concerns byte order in memory, not the positional layout of digits on paper or screen.


Final Answer:
Correct

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