The FSM says you only need the computer for bleeding when you have touched the master.
BRAKE FLUID: BLEEDING
NOTICE:
Wash off brake fluid immediately if it comes into contact with a painted surface.
If the brake pedal is depressed with the reservoir cap removed, then brake fluid will spatter. HINT:
If any work is done on the brake system or if air in the brake lines is suspected, bleed the air from the system.
When bleeding, keep the amount of the fluid between the Min. and Max. lines on the reservoir.
FILL RESERVOIR WITH BRAKE FLUID
Fluid:
SAE J1703 or FMVSS NO. 116 DOT3
BLEED BRAKE BOOSTER W/ACCUMULATOR PUMP ASSEMBLY HINT: Perform this step only if the brake booster with accumulator pump assembly is removed and/or installed.
(a) Turn the ignition switch OFF, depress the brake pedal 20 times or more to release the pressure from the accumulator.
(b) Fully depress the brake pedal 10 times.
(c) Turn the ignition switch to the ON position and start the brake booster pump.
(d) Make sure the pump operates for 8 to 14 seconds.
If the pump does not operate as specified, repeat steps (a) to (c) and recheck the operating time.
BLEED BRAKE LINE
(a) Front brake line
(1) Turn the ignition switch to the ON position and wait until the pump motor has stopped.
(2) Connect the vinyl tube to the brake caliper.
(3) Depress the brake pedal several times, then loosen the bleeder plug with the pedal held down.
(4) At the point when the fluid stops coming out, tighten the bleeder plug, then release the brake pedal.
Torque: 11 Nm (112 kgf-cm, 8 ft-lbf)
(5) Repeat (3) and (4) until all the air in the fluid has been bled out.
(6) Repeat the above procedures to bleed the other brake line.
(b) Rear brake line
(1) Turn the ignition switch to the ON position and depress the brake pedal.
(2) Connect the vinyl tube to the brake caliper.
(3) Loosen the bleeder plug and release air.
HINT: Brake fluid is sent through the pump, so keep the brake pedal depressed until the air is completely bled out.
(4) When the air is completely bled out of the brake fluid through the bleeder plug, tighten the bleeder plug.
Torque: 11 Nm (112 kgf-cm, 8 ft-lbf)
(5) Repeat the above procedures to bleed the other brake line.
Revising an old thread...
If I bleed in this way (I'm supplementing with a Motive), does it also cycle the old fluid out of the ABS system? With BMWs (yea, I'm one of those guys), you pump the brake pedal 12x with the ignition on, but not running, and it tells the ABS controller to open the servos to flush the system (this works for my 88 & 06).
I'm changing from whatever is in there now (suspect OE Toyota) for low viscosity ATE DOT 4 for reasons of convenience (other cars use it).
Thanks from the Noob.