The math of heating is different from turning a motor though. All energy use ultimately becomes heat. You can burn it directly, then 1J of fuel becomes 1J of h

The math of heating is different from turning a motor though. All energy use ultimately becomes heat. You can burn it directly, then 1J of fuel becomes 1J of heat. Or you can turn it to electricity and use that to locally decrease entropy. If you mine bitcoin with the electricity, then 1J of fuel becomes 0.5J (approximately, of course) of waste heat in the power plant and 0.5J of waste heat in your GPU. If you use the electricity in a heat pump, then then 1J of fuel becomes 0.5J of waste heat in the power plant, 0.5J of heating in your house. AND 1.5J of heat is moved from air outside.