To calculate the total number of hens in the enclosure, we first need to evaluate the expression (53)₂ ⋅ 50.
The notation (53)₂ indicates a number in base 2. To convert (53)₂ to base 10, we can calculate it as follows:
(53)₂ = (5 × 2¹) + (3 × 2⁰)
= (5 × 2) + (3 × 1)
= 10 + 3
= 13 (in base 10)
Next, we multiply this result by 50:
Total number of hens = 13 × 50 = 650
However, none of the provided answer choices match this calculation. If we consider the possibility that (53)₂ might refer to other interpretations, that doesn't affect the outcome since our conversion follows standard binary notation.
Check the options again:
- 0
- 55
- 56
- 530
None of these correspond to our calculation of 650.
If we are strictly looking for the number based on the binary interpretation provided, our final count of hens would indeed result in 650. But based on the given options, it seems like there could have been a misinterpretation of the problem statement.
In conclusion, the answer based on the provided calculation is 650, but this does not match any of the options given. Please verify the problem details or options provided.