math

Convert the base-ten number to a numeral in the indicated base.
329 to base six

  1. 👍 0
  2. 👎 0
  3. 👁 858
  1. Find the greatest power of 6 that is less than or equal to 329.

    6^0 = 1
    6^1 = 6
    6^2 = 36
    6^3 = 216
    6^4 = 1296

    So you need to start with 6^3.

    Divide 329 by 216, then take the remainder and go to the next lowest power.

    329 / 216 = 1 R 113

    Now divide 113 by 6^2

    113 / 36 = 3 R 5

    Now divide 5 by 6^1

    5 / 6 = 0 R 5

    Now divide 5 by 6^0

    5 / 1 = 5 R 0

    Using the quotients, the number in base 6 is 1305.

    1. 👍 0
    2. 👎 0
  2. You can also do this the other way around. Compute the last digit by taking the remainder after division by 6:

    329 mod 6 = 5

    Subtract 5 and divide by 6 to obtain:

    (329 - 5)/6 = 54

    Then the first digit of 54 in base 6 will be the next digit. So, we can just iterate the process with 329 replaced by 54:

    54 mod 6 = 0 : next digit is 0

    54/6 = 9

    9 Mod 6 = 3 : next digit is 3

    (9 - 3)/6 = 1 which is simply 1 in base 6, so the last digit is 1.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. chemistry

    What is the general form for the simplest type of acid-base reaction? A. acid + base salt + water B. acid + base base + acid C. acid + base H+ + OH- D. acid + base solid + water

    asked by jessie on September 11, 2016
  2. Chemistry

    A base has a Kb of 2.5 x 10–11. Which of the following statements is true? This is a concentrated base. This base ionizes slightly in aqueous solution. This is a strong base. An aqueous solution of this base would be acidic.

    asked by Rachel on March 9, 2012
  3. Number Theory

    Find a base 7 three-digit number which has its digits reversed when expressed in base 9. (You do not need to indicate the base with a subscript for this answer.)

    asked by Mr. Alexander on March 9, 2016
  4. math

    Write the numeral in base ten 555six

    asked by jessie on June 5, 2009
  5. Base

    Write the numeral in base ten. 130five

    asked by Tyga on March 14, 2010
  1. math 118

    use divisions to convert the base ten numeral 555 to base six

    asked by kari on October 13, 2010
  2. Calculus

    A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 10 ft/sec. At what rate is the player's distance from home base increasing when he is half way from first to second base?

    asked by Amalia on December 3, 2019
  3. Math

    Convert the base-ten number to a numeral in the indicated base. 503 to base five A) 3040five B) 4030five C) 3004five D) 4003five

    asked by Annonom on May 18, 2010
  4. math

    Convert 11010two to base ten.

    asked by yorkie16 on April 10, 2009
  5. Chemistry

    Strong base is dissolved in 675 ml of 0.200 m weak acid (ka=3.25x10^-5) to make a buffer with a ph of 3.95. Assume that the volume remains constant when the base is added. HA + OH ---> H2O + A^- calculate the pka value of the acid

    asked by Alex on November 9, 2011

You can view more similar questions or ask a new question.