After weeks of turmoil over the BBC’s coverage of a spreading pedophile scandal, the broadcaster’s director general, George Entwistle, resigned on Saturday night, bowing to a wave of condemnation by critics including a longtime BBC television anchor, who depicted him as having lost control of "a rudderless ship heading towards the rocks.”Mr. Entwistle’s sudden departure as the BBC’s chief executive was prompted by outrage over a report last week on "Newsnight,” one of the network’s flagship current affairs programs, that wrongly implicated a former Conservative Party politician in a pedophile scandal involving a children’s home in Wales.Mr. Entwistle said the report, broadcast on Nov. 2, reflected "unacceptable journalistic standards” and never should have been broadcast.That broadcast has only compounded the problems facing the network since the revelation last month that a longtime BBC television host, Jimmy Savile, was suspected of having sexually abused perhaps hundreds of young people over the course of decades, sometimes on the BBC premises. The network has been accused of covering up the accusations by canceling a Newsnight report on Mr. Savile last year, when Mr. Entwistle was a senior executive at the network.Mr. Entwistle was barely two months into the director’s job, heading one of the world’s largest media organizations. His departure followed the suspension in the past month of a number of senior producers as the BBC has struggled to find a path through what many commentators have described as its greatest crisis in decades.A 50-year-old career broadcaster who rose through the ranks of BBC producers, Mr. Entwistle made his announcement on the steps of the BBC’s new billion-dollar headquarters in central London. With the BBC’s chairman, Chris Patten, standing gloomily beside him, Mr. Entwistle said that resigning was "the honorable thing to do.”"The wholly exceptional events of the past few weeks have led me to conclude that the BBC should appoint a new leader,” he said. He added that the intense public scrutiny of the BBC that has resulted from the pedophile scandal should not lead people "to lose sight of the fact that the BBC is full of people of the greatest talent and the highest integrity.”His statement that he was "responsible for all content” came after weeks of what the BBC’s harshest critics have described as obfuscation and evasion by the broadcaster’s management in the face of demands for explanations of how the fiascoes over the two "Newsnight” programs had been allowed to happen.As of late as Saturday morning, Mr. Entwistle was holding to the position he had taken for weeks, that he had not known about the Nov. 2 "Newsnight” broadcast ahead of time because of the BBC’s longstanding tradition that the director general not interfere with details of how programs are made. "I found out about this film after it had gone out,” he said. "In the light of what has happened here, I wish that this was referred to me, but it wasn’t.”His resignation, barely 12 hours later, suggested that the BBC’s trustees had concluded that the argument that the network’s top brass was insulated from responsibility for programming decisions by a lack of prior knowledge was not sustainable.That argument was similar to the one advanced by Mr. Entwistle’s predecessor, Mark Thompson, who was the BBC’s director general when the "Newsnight” expose on Mr. Savile was canceled. Mr. Thompson, who left the BBC in September and will become the president and chief executive of The New York Times Company on Monday, said he had not been aware of the report until after it was canceled.Mr. Patten, the BBC chairman, said that Tim Davie, 45, the BBC’s director of audio and music, would become the network’s acting director general.