2012 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 2012 to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert 2012 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 2012 by 16⁰, multiply the second to last digit in 2012 by 16¹, multiply the third to last digit in 2012 by 16², multiply the fourth to last digit in 2012 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
1 × 16¹ = 16
0 × 16² = 0
2 × 16³ = 8192

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

2 + 16 + 0 + 8192 = 8210

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

8210 ÷ 2 = 4105 with 0 remainder
4105 ÷ 2 = 2052 with 1 remainder
2052 ÷ 2 = 1026 with 0 remainder
1026 ÷ 2 = 513 with 0 remainder
513 ÷ 2 = 256 with 1 remainder
256 ÷ 2 = 128 with 0 remainder
128 ÷ 2 = 64 with 0 remainder
64 ÷ 2 = 32 with 0 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to 2012 hexadecimal to binary:

2012 hexadecimal = 10000000010010 binary

Hexadecimal to Binary Converter
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2013 hexadecimal to binary
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