Out of 36 delegates, 16 arrived with pre-printed name badges, so 36 - 16 = 20 delegates did not have pre-printed name badges.
Half of the delegates who did not have pre-printed name badges made their own hand-written name badges, so 20 / 2 = 10 delegates made their own name badges.
Therefore, the number of delegates at the convention who were not wearing name badges is 20 - 10 = 10
#### 10
The answer is: 10
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Out of 36 delegates at a convention, 16 arrived with pre-printed name badges. Half of the delegates who did not have pre-printed name badges made their own hand-written name badges. How many delegates at the convention were not wearing name badges?

### Answer:
