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 of, comparison, base and/or values:

    When we reflect on our past sentiments and affections, our thought is a faithful mirror, and copies its objects truly; but the colours which it employs are faint and dull, in comparison of those in which our original perceptions were clothed.
    David Hume (1711–1776)

    The difference between human vision and the image perceived by the faceted eye of an insect may be compared with the difference between a half-tone block made with the very finest screen and the corresponding picture as represented by the very coarse screening used in common newspaper pictorial reproduction. The same comparison holds good between the way Gogol saw things and the way average readers and average writers see things.
    Vladimir Nabokov (1899–1977)

    I have always heard, Sancho, that doing good to base fellows is like throwing water into the sea.
    Miguel De Cervantes (1547–1616)

    With the breakdown of the traditional institutions which convey values, more of the burdens and responsibility for transmitting values fall upon parental shoulders, and it is getting harder all the time both to embody the virtues we hope to teach our children and to find for ourselves the ideals and values that will give our own lives purpose and direction.
    Neil Kurshan (20th century)