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Decimal to Binary
Converting Decimal to Binary is the same algorithm as Binary
to Decimal, except reversed.
First, determine the amount of binary digits you need to have
for your number. For this example, we are going to use 74. Therefore, determine
the max value binary that you need for your number. Here is how you to
do it. Spread out your numbers as before and place the power of 2 under
it.
1 1 1
1 1 1 1
1
(128) (64) (32) (16) (8) (4) (2)
(1)
In observing this, you should realize you need only 7 binary digits. This
is because the eighth binary value is greater than the one we are converting.
Now, you need to determine which values need to be ON or OFF. To do this,
begin adding up your numbers from the left. After each addition, compare
your current number to the one you are trying to convert. If it is larger,
then assign the value you last added to zero.
1 0
0 1 0
1 0
(64) + (0) + (16) + (8) + (0) + (2) + (0) = 72
Therefore, 1001010 is equal to 72.
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