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The United States dollar is the official currency of the United States and its territories per the Coinage Act of 1792. It is a fiat currency and does not apply to cryptocurrencies.
DOGE is a cryptocurrency created by software engineers Billy Markus and Jackson Palmer, who decided to create a payment system as a joke, making fun of the wild speculation in cryptocurrencies at the time. It is considered both the first meme coin, and more specifically the first dog coin. It was introduced on 2013 and quickly developed its own online community, reaching a market capitalization of billions dollars.