
Nicos |
You need a full round action and you can attack twice one with a BAB of +6 and the other ith a BAB of +1.
You do not need to do those attacks with the same weapon, you could make the first attack with a longsword in your right hand and a battle axe in your left hand, you could even attack with a great axe drop it quick draw a great sword and make the second attack with it.
The penalty for TWF only apply if you make the extra attack not granted by high BAB.

Kazaan |
Say, for the sake of example, you have BaB +6 and a Longsword in one hand and a Dagger in the other. As an Attack action, you could make a single attack with either the Longsword, Dagger, or Unarmed Strike at +6 BaB. As a Full-Attack action, you can make the following attacks without using Two-Weapon mechanics:
+6________| +1
Longsword --| Dagger
Longsword --| Longsword
Longsword --| Unarmed
Dagger -------| Longsword
Dagger -------| Dagger
Dagger -------| Unarmed
Unarmed -----| Longsword
Unarmed -----| Dagger
Unarmed -----| Unarmed
Using Two-Weapon mechanics (presuming Two-Weapon Fighting feat), you could do the following:
Light off-hand attack (italicized)
+6(-2)_____| +6(-2)____|+1(-2)
Longsword --| Dagger ----| Longsword
Longsword --| Dagger ----| Dagger
Longsword --| Dagger ----| Unarmed
Longsword --| Unarmed --| Longsword
Longsword --| Unarmed --| Dagger
Longsword --| Unarmed --| Unarmed
Dagger -------| Unarmed --| Longsword
Dagger -------| Unarmed --| Dagger
Dagger -------| Unarmed --| Unarmed
Unarmed -----| Dagger ----| Longsword
Unarmed -----| Dagger ----| Dagger
Unarmed -----| Dagger ----| Unarmed
Non-light off-hand attack (italicized)
+6(-4)______|+6(-4)_____|+1(-4)
Dagger -------| Longsword --| Longsword
Dagger -------| Longsword --| Dagger
Dagger -------| Longsword --| Unarmed
Unarmed -----| Longsword --| Longsword
Unarmed -----| Longsword --| Dagger
Unarmed -----| Longsword --| Unarmed