What is the minuend value in the following subtraction: subtract (011100)2…

2021

What is the minuend value in the following subtraction: subtract (011100)2 from (1011100)2?

Answer: B. (1011100)2In any subtraction operation (A - B = C): Minuend (A): The number from which another number is being subtracted (the starting operand). Subtrahend (B): The…

  1. A.

    (111000)2

  2. B.

    (1011100)2

  3. C.

    (100100)2

  4. D.

    (100101)2

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Correct answer: B

In any subtraction operation (A - B = C):

  • Minuend (A): The number from which another number is being subtracted (the starting operand).

  • Subtrahend (B): The number that is being subtracted (taken away).

  • Difference (C): The result of the operation.

The stem instructs to subtract (011100)2 from (1011100)2. Reading this against the definitions above: (011100)2 is the value being taken away, so it plays the role of B (the subtrahend); (1011100)2 is the value it is being taken away from, so it plays the role of A (the minuend). Note that this role is defined purely by operand position in the wording, not by which value happens to be numerically bigger.

Cross-check: (1011100)2 = 92 in decimal and (011100)2 = 28 in decimal, so the actual subtraction gives 92 - 28 = 64 = (1000000)2. This confirms (1011100)2 was the starting operand used in the operation -- consistent with its role as the minuend. None of the other offered binary strings equal 92 in decimal, so exactly one offered value fits that role.

Answer: Minuend = (1011100)2.

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