binary and base 10 numbers help?

can someone explain to me how to change a base 10 number into a binary number? the number is 111011. And how do you change a base 10 number into a binary number? Thanks in advance!

4 Answers

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  • 1 decade ago
    Favorite Answer

    111011, base 2

    = 1(2^5) + 1(2^4) + 1(2^3) + 0(2^2) + 1(2^1) + 1(2^0)

    = 32 + 16 + 8 + 0 + 2 + 1

    = 59, base 10

    For the other way, decimal to binary:

    59, base 10

    Can 2^6 fit into 59? No.

    Can 2^5 fit into 59? Yes.

    59−32

    =27

    Can 2^4 fit into 27? Yes.

    27−16

    =11

    Can 2^3 fit into 11? Yes.

    11−8

    =3

    Can 2^2 fit into 3? No.

    Can 2^1 fit into 3? Yes.

    3−2

    =1

    Can 2^0 fit into 1? Yes.

    1−1

    =0

    So, let's look at what we have for our answers:

    No (0)

    Yes (1)

    Yes (1)

    Yes (1)

    No (0)

    Yes (1)

    Yes (1)

    Hmm... read it from top to bottom (ignore any zeroes in the beginning): 111011.

    59, base 10 = 111011, base 2

  • Anonymous
    1 decade ago

    the first number is the ones column, the second is the two's then the fours and so on. so, your number 111011 is 1 plus 2 plus 8 plus 16 plus 32... i'll let you do the arithmetic.

  • 1 decade ago

    The easiest way would be the table method. Check the source URL

  • Windows Calculator, scientific mode.

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