"You’re getting so big," he told her.
Biden previously met Gianna in June 2020, when he attended Floyd's funeral in Houston, Texas. She was seven when her father was murdered.
The president recounted how she told him her father was "going to change the world." He had her sit down at the desk in the East Room where he signed the executive order.
"I promise the Floyd family among others, George's name is not just going to be a hashtag. Their daddy's name will be known for a long time. As a nation, we're going to ensure his legacy," Biden declared in his remarks.
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The signing ceremony was on the second anniversary of George Floyd's death. He died as a police officer knelt on his neck for nine minutes while different officers watched on.
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Gianna further was at the White House last year to meet with Biden in the Oval Office on the one-year anniversary of her father's death.
In his remarks on Wednesday, Biden called on Congress to pass the George Floyd Justice in Policing Act. The legislation strives to fight police misconduct, excessive force, and racial bias in policing. It has been passed by the House yet is stalled in the Senate.
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Biden declared he remembered his promise during the 2020 presidential campaign to enact meaningful police reform.
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"Why haven't I done this executive order earlier? If I did it, I was worried I would undercut the effort to get the law passed," he declared.
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The order Biden signed contains new use-of-force rules for federal law enforcement and encourages local police departments to make similar changes.
In addition to Floyd's family, relatives of Breonna Taylor were in the East Room for the signing. Taylor was murdered during a fast-entry police raid of her home in Louisville, Ky.
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Biden has been walking a tightrope on the matter of police reform. Progressives, in the wake of Floyd's death and the nationwide protests that sparked up around it, wanted to go stronger, including a tightened use-of-force option, which police chiefs objected to.
It was not included in the ultimate version Biden signed Wednesday.
The president further has been dealing with criticism from Republicans who have falsely accused him of defunding the police.
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The order requires federal agencies to update their use-of-force policy, restrict the flow of surplus military equipment to police departments and restrict federal funding to police departments that did not ban chokeholds and no-knock warrants. It requires all federal agencies to create a national registry to track officers who were fired for bad conduct.