You need a computer running Windows 7, Windows 8, or Windows 10 to install Office 2013 or Office 2016.
Note: Windows 7, Windows 8, Windows XP, and Vista are out of support. Consider upgrading to the latest version of Windows. Support has ended for Office 2013 and Office 2016 as well.
If you try installing Office 2016 or Office 2013 on a PC with Windows XP or Windows Vista, you'll get an error message. These are some of the errors you may get:
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Installing Office 2016: The procedure entry point SetWaitableTimerEx could not be located in the dynamic link library KERNEL32.dll
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Installing Office 2013: The procedure entry point K32GetProcessImageFileNameW could not be located in the dynamic link library KERNEL32.dll
See also
What Windows end of support means for Office and Microsoft 365