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Math Help - convert a base

  1. #1
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    convert a base

    Can someone please help me with the following:

    Convert:

    a.) 213 base 5 to base 10

    b.) 15 base 10 to base 5

    c.) 132 base 4 to base 10

    d.) 8 base 10 to base 4

    My answers:

    a.) 58

    b.) 30

    c.) 31

    d.) 20

    And then I have to do the following:

    1.) (22+44)_5 = ?

    2.) (32-14)_5

    I said:

    1.) 71

    2.) 12

    Can someone please confirm?
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  2. #2
    Moo
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    Hello,
    Quote Originally Posted by DiscreteW View Post
    Can someone please help me with the following:

    Convert:

    a.) 213 base 5 to base 10

    b.) 15 base 10 to base 5

    c.) 132 base 4 to base 10

    d.) 8 base 10 to base 4

    My answers:

    a.) 58
    Yes
    b.) 30
    Yes
    c.) 31
    Hmmm I get 36, please check it ^^
    d.) 20
    Yes

    And then I have to do the following:

    1.) (22+44)_5 = ?

    2.) (32-14)_5

    I said:

    1.) 71
    No, but not far. When in base 5, the digit number must not exceed 4.
    So 7=5+2 is transformed into 12.
    2.) 12
    Hmm... I think there is a difference here :
    you're not asked for (32)_5 - (14)_5 (which result is 13, not 12), but for (32-14)_5, that is to say (18)_5 = (23)_5



    If you do not agree, tell me
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  3. #3
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    Quote Originally Posted by Moo View Post
    No, but not far. When in base 5, the digit number must not exceed 4.
    So 7=5+2 is transformed into 12.

    Hmm... I think there is a difference here :
    you're not asked for (32)_5 - (14)_5 (which result is 13, not 12), but for (32-14)_5, that is to say (18)_5 = (23)_5
    confused on these parts.

    So you're saying the answer is (121)_5 for the first...

    for the second, how is (18_5) = (23)_5?
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  4. #4
    Moo
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    Quote Originally Posted by DiscreteW View Post
    confused on these parts.

    So you're saying the answer is (121)_5 for the first...
    yes

    for the second, how is (18_5) = (23)_5?
    (18)_5=1 \times 5+8 \times 1=1 \times 5+5+3=2 \times 5+3=(23)_5
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