6D12 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 6D12 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 6D12 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 6D12 by 16⁰, multiply the second to last digit in 6D12 by 16¹, multiply the third to last digit in 6D12 by 16², multiply the fourth to last digit in 6D12 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
1 × 16¹ = 16
D × 16² = 3328
6 × 16³ = 24576

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 + 3328 + 24576 = 27922

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.

27922 ÷ 2 = 13961 with 0 remainder
13961 ÷ 2 = 6980 with 1 remainder
6980 ÷ 2 = 3490 with 0 remainder
3490 ÷ 2 = 1745 with 0 remainder
1745 ÷ 2 = 872 with 1 remainder
872 ÷ 2 = 436 with 0 remainder
436 ÷ 2 = 218 with 0 remainder
218 ÷ 2 = 109 with 0 remainder
109 ÷ 2 = 54 with 1 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 6D12 hexadecimal to binary:

6D12 hexadecimal = 110110100010010 binary

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6D13 hexadecimal to binary
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