To parse a JSON file and serialize it to a binary format in Python, you can use the following steps:

1. Import the `json` and `pickle` libraries.
2. Open the JSON file in read mode.
3. Use the `json.load()` function to parse the JSON data into a Python object.
4. Use the `pickle.dumps()` function to serialize the Python object to a binary format.
5. Write the binary data to a file in binary mode.

Here is an example of how to parse a JSON file and serialize it to a binary format in Python:

```python
import json
import pickle

# Open the JSON file in read mode.
with open("json_file.json", "r") as f:
    json_data = f.read()

# Parse the JSON data into a Python object.
data = json.loads(json_data)

# Serialize the Python object to a binary format.
binary_data = pickle.dumps(data)

# Write the binary data to a file in binary mode.
with open("binary_file.bin", "wb") as f:
    f.write(binary_data)
```

This code will create a binary file called `binary_file.bin` that contains the binary representation of the JSON data. You can then read the binary file and deserialize it back into a Python object using the following code:

```python
import pickle

# Read the binary file in binary mode.
with open("binary_file.bin", "rb") as f:
    binary_data = f.read()

# Deserialize the binary data back into a Python object.
data = pickle.loads(binary_data)

# Print the Python object.
print(data)
```

This code will print the Python object that was serialized to the binary file.
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