
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
When the base-10 integers 400, 1600, and 3200 are expressed in base 2, how many more digits does the number with the most digits have compared to the one with the least digits?

Present the answer in LaTex format: \boxed{Your answer}
user