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)2 — In any subtraction operation (A - B = C): Minuend (A): The number from which another number is being subtracted (the starting operand). Subtrahend (B): The…
- A.
(111000)2
- B.
(1011100)2
- C.
(100100)2
- 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.