In binary search, what happens to the search space after each comparison?

In binary search, what happens to the search space after each comparison?

Step 1: Start with a sorted list of numbers.
Step 2: Identify the middle number of the list.
Step 3: Compare the middle number with the target number you are searching for.
Step 4: If the middle number is equal to the target, you found it!
Step 5: If the middle number is less than the target, discard the left half of the list (including the middle number).
Step 6: If the middle number is greater than the target, discard the right half of the list (including the middle number).
Step 7: Repeat steps 2 to 6 with the new, smaller list until you find the target or the list is empty.

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