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    Question is: Convert the two base-10 numbers 239 and 574 to base 4 and add them in base 4. Convert the sum back to base 10 and hence check your answer.

    So, I've got:

    239_1_0 = 2233_4 and 574_1_0 = 33322_4 through long division. Then adding together I get 102221_4, but when converting back to base ten, I get an answer of 1193_1_0, which clearly isn't 239+574! I've double checked my arithmetic but I just can't see where I've messed up. Any help please?
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    Anybody?
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    (Original post by flown_muse)
    So, I've got:

    239_1_0 = 2233_4
    That's not correct for starters. Not looked at the rest yet.

    Edit. And neither is the second one.

    Spoiler:
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    239_1_0 = 3233_4

    574_1_0 = 20332_4



    Post working if you're not able to get the values in the spoiler.

    As a check once you've converted a number to base 4, you could convert it straight back to base 10 and see if you get the original value.
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    (Original post by ghostwalker)
    That's not correct for starters. Not looked at the rest yet.

    Edit. And neither is the second one.

    Spoiler:
    Show

    239_1_0 = 3233_4

    574_1_0 = 20332_4



    Post working if you're not getting the values in the spoiler.
    I've got 239, divide by 4, 59 r 3. Then 59 by 4, 14 r 3, 3 r 2, 0 r 2. Read remainders upwards, 2233.
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    (Original post by flown_muse)
    I've got 239, divide by 4, 59 r 3. Then 59 by 4, 14 r 3, 3 r 2, 0 r 2. Read remainders upwards, 2233.
    239, divide by 4, 59 r 3.

    59 by 4, 14 r 3

    14 by 4, 3 r 2

    3 by 4 = 0 r 3
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    (Original post by ghostwalker)
    239, divide by 4, 59 r 3.

    59 by 4, 14 r 3

    14 by 4, 3 r 2

    3 by 4 = 0 r 3
    Omg. :sad: I'm so sorry, I always do stupid stuff like this. But thank you, I've got it now, it's just my stupid stuff as usual. I managed to fix the other one too, I started dividing by 3 halfway through then switched to 4 again.

    Bed time I think!

    Thanks again.
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    (Original post by flown_muse)
    Omg. :sad: I'm so sorry, I always do stupid stuff like this. But that you, I've got it now, it's just my stupid stuff as usual. I managed to fix the other one too, I started dividing by 3 halfway through then switched to 4 again.

    Bed time I think!

    Thanks again.
    I notice you were starting to abbreviate your working towards the end. Perhaps that may have facilitated you going wrong. Just a thought.


    Sweet dreams.
 
 
 
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