Hitler's Farewell Scene is a scene from Downfall sometimes used in Downfall Parodies.
In Downfall
The scene begins with Traudl and Gerda smoking in the machine room. Günsche calls them, telling them that Hitler wants to say goodbye. Hitler and Eva go to shake hands with everyone. He first shakes hands with Bormann and his two generals, then with Goebbels, then to Magda whom he gives a party badge and calls her the bravest mother in Germany. After a brief look at Gerda he looks at Traudl, who is sad. He pats her left arm and slowly leaves. Eva gives her a hug and tells her to give her greetings to Bavaria. As Hitler walks away, he takes a short look at Günsche, who looks at Linge. He then enters his room along with Eva.
Afterwards, Traudl runs away, and stumbles on the Goebbels children, who are on the stairs. She asks them what they are doing, and they tell her that they want to see Aunt Eva and Uncle Hitler. They haven't eaten anything, except breakfast. Traudl then takes her coat off and goes up to find them some food. There she stumbles upon drunken officers and enters the kitchen, while they joke about Berlin being full of warehouses.
Although the scene is poor in dialogue, clever editing (i.e. voice-overs) made it possible for Hitler to reveal his thoughts.
The part where Hitler enters his room has also found much use, especially in FX parodies, where Hitler is depicted entering a different room, for example.
Trivia
The button that Adolf Hitler removes from his jacket and gives to Magda Goebbels is the Gold Nazi Party badge, awarded to high-ranking party members who had constant membership from 1925. Hitler gave himself Badge No. 1 when he authorized it in 1933, even though he was not the first party member. The Soviets found the badge in the bunker and it was stored in a vault at the Lubyanka, the KGB headquarters. In 1996 the FSB, the Russian Federation successor to the Soviet KGB, revealed that it had the badge and in 2005 put it on display. In November that year, it was stolen in a brazen smash-and-grab raid. The burglar escaped even though he triggered the display alarms. So far, it has not yet been recovered.
However, according to Traudl Junge's memoirs and several other sources, Magda Goebbels was not present when Adolf Hitler said his goodbyes before committing suicide. She had locked herself in her room at the time. So it's possible that he gave her the badge sometime earlier.