I'll show in this post how to convert decimal 64 to Binary. Number conversion is easy and quick if you learn the method and the trick. Otherwise, it is going to kill your time especially when you sit for exam of MCQ type.

You need to be able to get the equivalent number correctly and as quickly as possible.

First of all I'll show here the formal method of getting Binary equivalent of Decimal number 64.

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## Convert Decimal 64 to Binary (formal method)

You can see in the image above how the given number is divided by 2 successively noting down the remainder in every steps.

First, the number 64 is divided by 2 with quotient 32 and remainder 0

again, 32 is divided by 2 with quotient 16 and remainder 0

gain, 16 is divided by 2 for 8 times with remainder 0

8 is again divided by 2 for 4 times with remainder 0

4 is divided by 2 for 2 times with remainder 0

finally, 2 is divided by 2 for 1 times with remainder 0

Thus the last remainder is 1

After you get 1 or 0 as the last remainder, you collect all the remainders in reverse order (down to up).

The resulting number collecting remainders in reverse is 1000000 which is the binary equivalent of decimal 64.

### Quickly Convert Decimal 64 to Binary

Here is the trick part to quickly convert decimal 64 to binary,

First of all you should know the number that are powers raised to 2. For example 1, 2, 4, 8 are the numbers obtained by power 0,1,2,3 to the number 2.

i.e. 2^0 = 1

2 ^ 1 = 2

2 ^ 2 = 4

This way, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048 are our key numbers which are powers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 raised to 2.

Power | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |

Number | 1 | 2 | 4 | 4 | 16 | 32 | 64 | 128 | 256 | 512 | 1024 | 2048 |

Now, lets convert that number!

Step 1. Break the given number as the sum of these key numbers. In case of 64 it is only 2 ^ 6. So the sum will be 2^6 + 0^5 + 0^4 + 0^3 + 0^2 + 0^1 + 0^0

Step 2. Replace all the positions with 1 that has 2^power and 0 for 0^power

Step 3. Note down the number. Here the resulting number is 1000000

And this is the conversion of decimal 64 into binary.

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