9DCF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9DCF 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 9DCF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9DCF by 16⁰, multiply the second to last digit in 9DCF by 16¹, multiply the third to last digit in 9DCF by 16², multiply the fourth to last digit in 9DCF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
C × 16¹ = 192
D × 16² = 3328
9 × 16³ = 36864

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:

15 + 192 + 3328 + 36864 = 40399

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.

40399 ÷ 2 = 20199 with 1 remainder
20199 ÷ 2 = 10099 with 1 remainder
10099 ÷ 2 = 5049 with 1 remainder
5049 ÷ 2 = 2524 with 1 remainder
2524 ÷ 2 = 1262 with 0 remainder
1262 ÷ 2 = 631 with 0 remainder
631 ÷ 2 = 315 with 1 remainder
315 ÷ 2 = 157 with 1 remainder
157 ÷ 2 = 78 with 1 remainder
78 ÷ 2 = 39 with 0 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 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 9DCF hexadecimal to binary:

9DCF hexadecimal = 1001110111001111 binary

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