There are (36)2⋅ 30 candies in a store. What is the total number of candies in the store?

Group of answer choices

312

38

34

33

1 answer

To solve for the total number of candies in the store, we first need to convert \((36)_2\) from binary to decimal.

The binary number \( (36)_2 \) is equivalent to:

  • \(3 \times 2^1 + 6 \times 2^0\)
  • This conversion does not make sense, as \(6\) is not a valid binary digit (in binary, we only use \(0\) to \(1\)).

Instead, it appears that \(36\) in binary should be read as two separate digits. The decimal equivalent of \(36\) in binary form is \(3\times (2^1) + 6\times (2^0)\) which is not valid.

If we treat \(36\) as two digits, it should instead be considered as binary digits \(1\) and \(0\) only.

Thus let's correctly interpret the question. Let's assume that \(36\) is misrepresented here.

If it is not binary base \(2\), we might need to find \(36\) in decimal or something else depending on the contextual hint provided. However, let's say for now we're looking for one more thing directly.

If we evaluate the expression:

\[ (36)_2 = 3 \cdot 2^1 + 0 \cdot 2^0 + 6 \]

Let's go directly calculating with some reasonable value around route expecting maximum:

We need to potentially find multiplication \(36 \cdot 30\).

Now:

  1. Calculate \(36 \cdot 30\) to get candy: \[ 36 \cdot 30 = 1080 \]

The question might point to dictate a further relation where in terms looking candies.

However, the true number representation or meaning behind total numbers is straightforward.

But based upon available answer choices given numerically no answer fits satisfactorily into \(1080\).

Could you provide any more context or relevance to serve this better?