Subtraction terminology: In arithmetic subtraction, the correct operand names are “minuend” for the number being reduced and “subtrahend” for the amount subtracted (not “subend”). Assess this terminology.

Difficulty: Easy

Correct Answer: Correct

Explanation:


Introduction / Context:
Precise terminology matters in mathematics and digital design documentation. In subtraction, confusing the operand names can lead to misunderstandings when specifying algorithms or verifying arithmetic circuits.


Given Data / Assumptions:

  • The operation is subtraction: Minuend − Subtrahend = Difference.
  • We use standard mathematical terminology recognized in textbooks and technical references.
  • The term “subend” is a misspelling/misuse.


Concept / Approach:
The minuend is the quantity from which another quantity is subtracted. The subtrahend is the quantity being subtracted. These names apply in all radices (decimal, binary, etc.) because they describe roles, not number systems.


Step-by-Step Solution:

Identify the operation: x − y = z.Map terms: x is the minuend, y is the subtrahend, z is the difference.Confirm usage is independent of number base or implementation method (direct subtraction or complements arithmetic).


Verification / Alternative check:
Any elementary arithmetic reference will list these terms, and digital design texts retain the same terminology when describing subtractor circuits.


Why Other Options Are Wrong:
“Incorrect” is wrong because the names given are standard. Limiting to decimal or to a particular subtraction method confuses representation with terminology.


Common Pitfalls:
Reversing the roles (calling the subtrahend the minuend) or using nonstandard terms can cause errors in specifications and testbenches.


Final Answer:
Correct

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