Identify the most significant bit (MSB): For the binary number 11001, the MSB is ________.

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:

  • Binary number provided: 11001.
  • Conventional left-to-right notation with the MSB on the left.
  • No sign bit interpretation is explicitly specified; treat as unsigned.


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:

Write the number with positions: 1 1 0 0 1.Mark positions from left: MSB (leftmost) = first 1.Confirm that remaining bits are lower significance (toward the right).Conclude that MSB is 1.


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:

  • 1100: This is a substring, not a single bit.
  • C: A hexadecimal digit, not relevant for identifying a binary bit.
  • 1916: A malformed hex-like notation; irrelevant.
  • 0: Not the leftmost symbol in 11001.


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

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