Does it work with windows 8.1?

We have not upgraded to Windows 8.1 yet (one of our apps does not work with 8.1) so unfortunately I cannot answer your question. Prior to the upgrade you should run the Windows 8.1. upgrade compatibility scan (part of the process). It should tell you if the wireless mouse will work.

Will this mouse function on a computer running XP? Thanks!

yes it will work with windows xp for sure.

what size transmitter/ ?

It is tiny, barely bigger than the metal usb plug, it extends perhaps 3 mm beyond the metal.

Questions & Answers: Microsoft Wireless Mobile Mouse 3500 for Business Black 3 Buttons 1 x Wheel USB 2.4 GHz RF BlueTrack 1000 dpi

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Microsoft Wireless Mobile Mouse 3500 for Business, Loch Ness Gray. Comfortable Ergonomic design, Wireless, USB 2.0 with Nano transceiver for PC/Laptop/Desktop, works with Mac/Windows Computers

Blue Track Technology - Works on more surfaces than optical or laser technology.
Nano Transceiver - Leave it plugged in your notebook when you're on the go. The mouse has its own on/off switch.
Up to 8 months battery life - Power status indicator lets you know when your battery runs low.
Comfort - Designed by ergonomic experts for comfort in either hand.
Blue Track Technology - Works on more surfaces than optical or laser technology.
Note: In case of Wireless mouse, the USB receiver will be provided inside or along with the mouse
Nano Transceiver - Leave it plugged in your notebook when you're on the go. The mouse has its own on/off switch.

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