Binary the way micros count



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Binary
Method

1 Write down the column values for the binary system using the same number

of columns as are shown in the binary number.



2 Enter the binary number, one bit under each column heading.

3 Add the values of each column where a 1 appears in the binary number.

Calculator note: This is much the same as we saw the previous conversion. To tell the calculator that the answer has to be in decimal I have to press mode mode 3 then the ‘decimal’ key.

It now has to be told that the input number is binary. This is done by the key sequence logic logic logic 3 now just put in our binary number 1001 and press the = key and out will pop the answer 9.

Another example

Once again, here is one for you to try. If you have problems, the answer follows.


Convert 1011001012 to a denary number

Step 1: Write down the column values by starting with a 1 on the right-hand side


then just keep doubling as necessary

28 27 26 25 24 23 22 21 20

256 128 64 32 16 8 4 2 1

Step 2: Enter the binary number under the column headings

256 128 64 32 16 8 4 2 1

1 0 1 1 0 0 1 0 1

Step 3: Add up all the column values where the binary digit is 1
256 + 64 + 32 + 4 + 1 = 357

So, 1011001012 = 35710 or just 357 since denary can be assumed in


this case.


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