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The gram already is a unit of mass.
1 gram
Take a mass of 1 gram. Convert it entirely to energy, and measure that energy. You will find that this energy is equal to the square of the speed of light.
A gram is a unit of mass and a centimeter is a unit of length. They cannot be converted from one to the other.
Grams and centimeters are not equivalent units and there is no conversion. The gram is a unit of mass, and a centimeter is a unit of distance.