To compute the SHA-256 hashes for the specified range of inputs, you can use programming languages like Python that have libraries capable of generating SHA-256 hashes. Below is a sample Python script that accomplishes this for the range you've provided.
```python
import hashlib
def sha256_hash(hex_input):
# Convert hex input to bytes
bytes_input = bytes.fromhex(hex_input)
# Compute SHA-256 hash
hash_object =