Large Numbers - Comparison of Base Values

Comparison of Base Values

The following illustrates the effect of a base different from 10, base 100. It also illustrates representations of numbers, and the arithmetic.

, with base 10 the exponent is doubled.

, ditto.

, the highest exponent is very little more than doubled.

  • (thus if n is large it seems fair to say that is "approximately equal to" )
  • (compare ; thus if n is large it seems fair to say that is "approximately equal to" )
  • (compare )
  • (compare )
  • (compare ; if n is large this is "approximately" equal)

Read more about this topic:  Large Numbers

Famous quotes containing the words comparison, base and/or values:

    Certainly there is not the fight recorded in Concord history, at least, if in the history of America, that will bear a moment’s comparison with this, whether for the numbers engaged in it, or for the patriotism and heroism displayed.
    Henry David Thoreau (1817–1862)

    When a man speaks the truth in the spirit of truth, his eye is as clear as the heavens. When he has base ends, and speaks falsely, the eye is muddy and sometimes asquint.
    Ralph Waldo Emerson (1803–1882)

    We must be physicists in order ... to be creative since so far codes of values and ideals have been constructed in ignorance of physics or even in contradiction to physics.
    Friedrich Nietzsche (1844–1900)