Your symptoms are due to pressure in the wrist .
The nerves to the fingers go through a small tunnel at the wrist to get into the hand - called the carpal tunnel. Pressure here will produce similar symptoms.
The neck is the second possibility because the nerves that go to your hand exit the spine in the neck and travel down the arm into the fingers. A bit of wear and tear, or even a bit if a twist to the ligaments here, could cause pressure on the nerves that would then be felt as tingling and numbness in the fingers.
Overuse of computer , and the wrong posture may aggrevate the symptoms.
Consult your Physician for follow up. He can advice neck exercises and Physical therapy.
Source- http://www.netdoctor.co.uk/ate/musclesjoints/203617.html
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