finding base of number

Discussion in 'Homework Help' started by bhuvanesh, Jul 15, 2014.

  1. bhuvanesh

    Thread Starter Member

    Aug 10, 2013
    268
    2
    find the base of the number?
    24+17=40

    i did as 2*b+4+b+7=4*b

    then i got answer as 11

    if i add that i.e 40=41
    4*b=4*b +1

    then i am not getting answer why?
     
  2. djsfantasi

    AAC Fanatic!

    Apr 11, 2010
    2,810
    834
    The first half of your post is correct.

    But what the heck do you mean by "if I add that i.e 40=41"?
     
    bhuvanesh likes this.
  3. bhuvanesh

    Thread Starter Member

    Aug 10, 2013
    268
    2
    i am just adding 24 and 17 and then i am proceeding.Why it is wrong way of doing
     
  4. jpanhalt

    AAC Fanatic!

    Jan 18, 2008
    5,699
    906
    24(base 11) = 26 (base 10)
    17 (base 11) = 18 (base 10)
    40 (base 11) = 44 (base 10)

    So, using just base 10 on the left you have 26 + 18, which equals 44
    On the right, you have 44

    The equality is correct and the base is 11.

    John
     
  5. djsfantasi

    AAC Fanatic!

    Apr 11, 2010
    2,810
    834
    You have to add 24 in base 11 to 17 in base 11. This operation is shown in your original problem statement. Since we are familiar with base 10 arithmetic, let's look at the addition in base 10.

    24 base 11 = 2*11+4 = 26 base 10
    17 base 11 = 1*bb+7 = nn base 10

    (I've left some of the values for you to complete)

    So add 26 to nn. Then convert 40 base 11 to decimal and compare your results.
     
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