No, they aren't. The Congress of the most powerful nation in history is not a household. All United States Dollars in existence were created by Congress or by lending institutions granted the power to create United States Dollars as bank credit.

Why would Congress need to "bring in" numbers in a computer that it created?

Congress creates and allocates capital, which is the result of being granted the power "to coin Money, regulate the value thereof, and of foreign Coins".

This means only Congress has the power to create money, define the value however it sees fit, and establish exchange rates the same.

Congress has no need to tax in order to spend - see the Revolutionary War, Greenbacks of the Civil war, and so on and so on.