639C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 639C 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 639C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 639C by 16⁰, multiply the second to last digit in 639C by 16¹, multiply the third to last digit in 639C by 16², multiply the fourth to last digit in 639C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
9 × 16¹ = 144
3 × 16² = 768
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:

12 + 144 + 768 + 24576 = 25500

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.

25500 ÷ 2 = 12750 with 0 remainder
12750 ÷ 2 = 6375 with 0 remainder
6375 ÷ 2 = 3187 with 1 remainder
3187 ÷ 2 = 1593 with 1 remainder
1593 ÷ 2 = 796 with 1 remainder
796 ÷ 2 = 398 with 0 remainder
398 ÷ 2 = 199 with 0 remainder
199 ÷ 2 = 99 with 1 remainder
99 ÷ 2 = 49 with 1 remainder
49 ÷ 2 = 24 with 1 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 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 639C hexadecimal to binary:

639C hexadecimal = 110001110011100 binary

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