How do you convert a decimal number to a binary number?
First, realize that instead of one's, ten's, hundred's, thousand's etc. places you find in decimal, a binary number has a one's, two's, four's, eight's, sixteen's etc. places.Start at the one's place. If there is a one here start with one.Move to the left, whenever there is a one, add the corresponding place value to your total until you've reached the leftmost digit.Example:Convert 1011011001 in binary to decimal:=1(1)+0(2)+0(4)+1(8)+1(16)+0(32)+1(64)+1(128)+0(256)+1(512)=729Notice the bolded digits are the same in the original from right to left.The italicized numbers are the appropriate powers of 2.Binary numbers start with a column with the value of 1 on the right side. The next column, to the left, has double the value (which is 2), the next left doubles again (which is 4), then 8, 16, 32, 64, 128 etc. The inclusion of a number 1 in a column means that the number should be included in the total. The inclusion of a zero in a column means that the number should not be counted. Using just this combination of 1s and 0s any number can be represented. For example...1 = 12 = 103 = 114 = 10010 = 101015 = 111165 = 1000001
