Method
1 Divide the denary number by 2 - write the whole number result underneath
and the remainder in a column to the right.
2 Repeat the process until the number is reduced to zero.
3 The binary number is found by reading the remainder column from the
bottom upwards.
Another example
Here is one for you to try. If you get stuck, the solution is given below. Convert 218710 to a binary number
2187
1093 1 = 1000100010112
546 1 ↑
273 0
136 1
68 0
34 0
17 0
8 1
4 0
2 0
1 0
0 1
Doing it by calculator: Many scientific calculators can do the conver-
sion of denary to binary for us. Unfortunately, they are limited to quite
low numbers by the number of digits able to be seen on the screen.
To do a conversion, we need:
1 A scientific calculator that can handle different number bases.
2 The instruction booklet.
3 About half an hour to spare - or a week if you have lost the
instructions.
The exact method varies but on my elderly Casio it goes something
like this:
To tell the calculator that the answer has to be in binary I have to press mode mode 3 then the ‘binary’ key.
It now has to be told that the input number is decimal. This is the
exciting key sequence logic logic logic 1 now just put in our number
52 and press the = key and out will pop the answer 110100.
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