Difficulty: Easy
Correct Answer: 1
Explanation:
Introduction / Context:
Understanding bit positions is foundational in digital electronics. The most significant bit (MSB) is the leftmost bit in a standard binary representation and carries the highest positional weight. This question checks the ability to identify the MSB of a given binary number without confusing it with values or encodings in other number systems.
Given Data / Assumptions:
Concept / Approach:
In positional notation, the MSB is the leftmost digit. For binary, weights from right to left are 2^0, 2^1, 2^2, 2^3, etc. The MSB therefore determines the largest power-of-two contribution in the number. For 11001, the leftmost symbol is 1, making the MSB equal to 1.
Step-by-Step Solution:
Verification / Alternative check:
Compute value to see role of MSB: 11001 = 116 + 18 + 04 + 02 + 1*1 = 25. The MSB’s weight is 16 (2^4), confirming its dominant contribution.
Why Other Options Are Wrong:
Common Pitfalls:
Confusing “most significant digit” with “highest numeric symbol” and mixing number systems (hex vs. binary); reading bits right-to-left inadvertently; misapplying signed magnitude when not specified.
Final Answer:
1
Discussion & Comments