You can file as Married Filing Jointly for 2016 (if you always have and there is no reason that you would want to change and file Married Filing Separately)
and enter all the information as if he hadn't passed.
Next year when you file 2017 taxes, you will no longer file as Married filing Jointly.
You will file NEXT YEAR (in 2018) as either Single or Qualifying Widow, (or perhaps even Head of Household)
This year you may claim his exemption.
Additionally you may claim all the itemized deductions for you both, or the standard deduction for Married Filing Jointly which is 12,600, whichever is more.
If he appointed an executor to his estate, you may need to work with him.
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