I've replaced the batteries, memory and the 4 tripleAs still no power, tested voltage on the lower copper squares and it gave me 6.10v and tested the voltage on the two outer spring to battery contacts and it was 4.57v. Removed backing and cleaned contacts as suggested but still no power.Is there any thing else i can try?
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You need to free up some memory. Try clearing your RAM memory. Your calculator should operate properly afterward.
Press [2nd] [MEM]   
If the steps above did not reset the memory to your Ti 83 family calculator try the procedures below.
Please be prepared to re-install the calculator's OS if you run through this process.
If you have a straight Ti 83 without the Plus or, Silver Edition label goto (Procedure 2) below. If your Ti calculator is a Ti 83 Plus or better goto (Procedure 1).
Try a new set of AAA batteries.
Remove one of the AAA batteries. Press and hold the [CLEAR] key. While holding [CLEAR], reinsert the AAA battery and then turn the calculator on. The calculator should display the message "RAM Cleared". Release the [CLEAR] key and, then press [CLEAR] one more time to remove the message.
Remove one of the AAA batteries. Press and hold the [DEL] key. While holding [DEL], reinsert the AAA battery and then turn the calculator on. The calculator should display "Waiting...Please install calculator software now". Follow the instructions for the TI-83 family or TI-84 Plus family to reinstall the calculator operating system.
Steps to re-installing the operating system: ~Connect the TI Connectivity cable between the PC and the calculator. ~Click on Start >> Programs >> TI Tools >> TI Connect >> TI OSDownloader ~Follow the on-screen directions to reinstall the calculator's OS. If you could not install the new OS on your calculator goto step 4.
Remove all of the batteries including the round lithium battery for 5 minutes. After the 5 minute period, reinsert all of the batteries and turn the calculator on. Adjust the contrast if necessary.
If the above process did not reset your calculator. Try re-doing (Procedure 1) and, extend the time in step 4, by 5 minutes to 10 minutes before you put all the batteries back in the calculator.
For a straight Ti 83 without the Plus or, Silver Edition label try the procedure below.
Try a new set of AAA batteries.
Remove one of the AAA batteries. Press and hold the [ON] key for 20 seconds. Reinsert the AAA battery and then turn the calculator on.
It calculator tells you Ram Cleared each time you turn it on, the most likely reason is that the backup battery is depleted. Its role is to keep the memory modules electrically refreshed when calculator is turned off. If the backup battery is dead, the memory is erased when you turn calculator OFF. Main batteries no longer supply power and the contents of the memory are cleared.
Check that main batteries are good and inserted in calculator.
Turn calculator OFF.
Replace the backup battery.
Turn calculator ON.
Press the [CLEAR] key to erase the "Ram Cleared" message.
when you type -2 imagine your calculator doing the equation: -1 x 2. The - sign actually stands for a -1 so when you do -2 squared your calculator is simply following order of operations. It first squares the 2 making it 4, then it multiplies the negative making it -4. In order to get around this you must use parenthese. (-2)^2.
Batteries: Make sure to replace the "battery backup" too the little lithium ion battery
Try Adjusting contrast:
Hold down "[2nd]" key press up or down arrow repeatedly to lighten or darken contrast.
First attempt reseting: Step 1: Remove all the batteries Step 2: Hold "Clear" key down Step 3: Still holding "Clear" key reinstall batteries Step 4: Still holding "Clear" key press "On" key until home screen is displayed.
Second shot reseting: remove all batteries including lithium ion (backup battery), wait 3 hours and reinstall batteries.
Third Shot reseting:
Step 1: Remove a battery
Step 2: Hold down "DEL" key reinstall battery
Step 3: Possible msg pops up saying "Waiting ... Please install software" IGNORE msg and take out battery again Step 4: Reinstall battery do not hold down "DEL" key
reseting will cause the handheld to loose all of its stored memory.
On TI-83 Plus and TI-83 calculators that have the newer flat screen (as opposed to the first generation TI-83 with the tilted screen):
1. Open the battery compartment cover
2. Install known working batteries
3. Using a voltmeter, insert probe ends into the holes right beneath the 2 center batteries and touch the circuit board on either side. One is a (+) side and the other is a (-) side, so both must be touched. Be careful to ONLY touch the copper square of the circuit board. If your voltage reads 0 or very low (1-2 volts) proceed to step 4. If your voltage reads about 6 volts, your problem lies elsewhere.
4. Using a voltmeter, insert probe ends on the bottom of the 2 outside batteries where the springs are visible. If voltage reads about 6 volts, proceed to step 5. If voltage reads 0, your problem is that the springs are not making good contact with the batteries due to corrosion or weak springs. You will need to clean them or get donor parts. Find a calculator with a broken screen that comes on and swap the back covers. Details on how to remove the back cover further on.
5. Using a T6 torx electronics screwdriver remove all 6 screws on the back and using a small phillips, remove the backup battery cover.
6. WARNING! Disassembling your calculator can cause unrepairable damage. Only proceed if you have no other options! Using a small flat electronics screwdriver, pry into the case on the side about 4 ridges up where there is a small hole. Pop both sides open and break case away from the bottom to the top- NEVER FROM SIDE TO SIDE. (Going from side to side can damage the I/O port.)
7. Look at the copper squares at the bottom of the board. You can see where 2 springs make contact from the back cover. Often this is dirty, corroded, or the springs are weak and not making contact. Clean this area with alcohol and gently scrape away any oxidation.
8. Put calculator back together and test. When a calculator will not turn on, this is likely the culprit.
I have fixed several calculators with this method.
Warning the following tip will erase apps and programs from calculator! The following will run the self-test mode Press mode then press alpha then press s then press enter If you want to get out of the self test press the on button in case you want to attempt to save/transfer apps, programs, variables etc. The calculator will start to test itself it'll countdown and display numbers on the screen. It can get better sometimes other times a replacement of both the cr1616/cr1620 lithium battery and the 4 AAAA batteries work. Also ensure that you've attempted to clear out all the memory and reset the calculator. To delete all variables, tables, graphs, etc: Press 2nd button then press MEM then press 2 then press 1. To reset the calculator press 2nd button then press MEM then press 7 then press the left arrow then press 1 then press 2.