
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 300 and 1500 are expressed in base 2, and then subtract the smaller number from the larger number, how many digits does the result have in base 2?

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