If you put exempt on your W-4 your employer would not withhold federal taxes from your weekly paycheck. If you do not have a tax liability then you simply won't get a refund of what you paid in. Depending on your situation, you still may have a refund from refundable tax credits such as Earned Income Tax Credit if you qualify.
If you actually do have a tax liability you will have to pay in when you file your taxes.
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