The correct answer is b.

We can identify the boolean equivalent by subtracting out factors of 2, one at a time.

2⁸ is 256, which is greater than 237, so let's start at one less than that:

1. 2⁷ = 128, which is less than 237, so we have 1 "128" in our binary number. Subtract out the 128 to find that we still have 109 left to account for.
2. 2⁶ = 64, which is less than 109, so we have 1 "64" in our binary number. Subtract out 64 to find that we still have 45 to count.
3. 2⁵ = 32, which is less than 45, so we have 1 "32" in our binary number. Subtract out 32 from 45 to get 13.
4. 2⁴ = 16, which is more than 13, so we have 0 "16"s in our number.
5. 2³ = 8, which is less than 13, so we have 1 "8" in our number. Subtract 8 from 13 to get the remaining 5.
6. 2² = 4, which is less than 5, so we have 1 "4" in our number. Subtract 4 from 5 to get 1.
7. 2¹ = 2, which is more than 1, so we have 0 "2"s.
8. Finally, 2⁰ = 1, which is what we have left, so we have 1 "1" in our number.

Put it all together and the binary equivalent is 11101101.