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Converting from decimal to binary.

Let's say you have the decimal number 75 and you want to convert that to binary.

To convert this to binary you can divide by 2 a bunch of times and then take the remainders.

So we divide this by 2.

2 into 75 goes 37 times with a remainder of 1.

Divide that again by 2 which gives 18 with a remainder of 1.

18 divided by 2 gives 9 with a remainder of 0.

Divide again and get 4 with a remainder of 1.

Divide again and get 2 with a remainder of 0.

Divide again and

get 1 with a remainder of 0.

Divide one more time and get 0 with a remainder of 1.

Now to get your binary number you start at the bottom and read up.

So 75 in base 10 equals 1001011 in base 2.

Another way of doing this is by looking at this number and figuring out how many times powers of 2 go into it.

We'll do that method right now.

Convert 75.

The easiest way to do this is write out the powers of 2.

So we've got 1, 2, 4, 8, 16, 32, and 64.

Now the question

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