How do you write 68 in binary notation?

Answer 1

You can do this with the following technique:

• divide the number by two, rounding down.
• write down the remainder.
• repeat those two steps until your number is equal to 0
• Now read those remainders backwards. That will be the binary notation of your number.
  

For example, to convert the number "123":
123 / 2 = 61 R 1
61 / 2 = 30 R 1
30 / 2 = 15 R 0
15 / 2 = 7 R 1
7 / 2 = 3 R 1
3 / 2 = 1 R 1
1 / 2 = 0 R 1

So "123" in decimal is equal to 1111011 in binary. In the case of the number 68, it would be like so:

68 / 2 = 34 R 0
34 / 2 = 17 R 0
17 / 2 = 8 R 1
8 / 2 = 4 R 0
4 / 2 = 2 R 0
2 / 2 = 1 R 0
1 / 2 = 0 R 1