8DEC hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8DEC 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 8DEC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8DEC by 16⁰, multiply the second to last digit in 8DEC by 16¹, multiply the third to last digit in 8DEC by 16², multiply the fourth to last digit in 8DEC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
E × 16¹ = 224
D × 16² = 3328
8 × 16³ = 32768

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:

12 + 224 + 3328 + 32768 = 36332

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.

36332 ÷ 2 = 18166 with 0 remainder
18166 ÷ 2 = 9083 with 0 remainder
9083 ÷ 2 = 4541 with 1 remainder
4541 ÷ 2 = 2270 with 1 remainder
2270 ÷ 2 = 1135 with 0 remainder
1135 ÷ 2 = 567 with 1 remainder
567 ÷ 2 = 283 with 1 remainder
283 ÷ 2 = 141 with 1 remainder
141 ÷ 2 = 70 with 1 remainder
70 ÷ 2 = 35 with 0 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 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 8DEC hexadecimal to binary:

8DEC hexadecimal = 1000110111101100 binary

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8DED hexadecimal to binary
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