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Exponents - Binary Exponentiation

Last modified by
on
Jul 11, 2023, 8:28:58 PM
Created by
on
Jul 11, 2023, 8:14:49 PM
a=bx
(b)Base
(e)Exponent

The Exponents - Binary Exponentiation equation returns the result of bx but uses binary exponentiation which is an efficient way to solve very large exponents. 

INSTRUCTIONS: Enter the following

  • (b) Base
  • (x) Exponent

Result (e): The result is returned as an integer

Example

4122

  • b = 4
  • x = 122

122 = (1111010)2 = 26 + 25 + 24 + 23 + 21

464 x 432 x 416 x 48 x 42 =  28,269,553,036,454,149,273,332,760,011,886,696,253,239,742,350,009,903,329,945,699,220,681,916,416

...Or if you want to say it: "twenty-eight trevigintillion, two hundred sixty-nine duovigintillion, five hundred fifty-three unvigintillion, thirty-six vigintillion, four hundred fifty-four novemdecillion, one hundred forty-nine octodecillion, two hundred seventy-three septendecillion, three hundred thirty-two sexdecillion, seven hundred sixty quindecillion, eleven quattuordecillion, eight hundred eighty-six tredecillion, six hundred ninety-six duodecillion, two hundred fifty-three undecillion, two hundred thirty-nine decillion, seven hundred forty-two nonillion, three hundred fifty octillion, nine septillion, nine hundred three sextillion, three hundred twenty-nine quintillion, nine hundred forty-five quadrillion, six hundred ninety-nine trillion, two hundred twenty billion, six hundred eighty-one million, nine hundred sixteen thousand, four hundred sixteen."


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