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# 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

- Empire539Lv 71 decade agoFavorite 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

- Anonymous1 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

Source(s): http://www.wikihow.com/Convert-from-Binary-to-Deci... http://www.wikihow.com/Convert-from-Decimal-to-Bin... (vice-versa)