638E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 638E 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 638E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 638E by 16⁰, multiply the second to last digit in 638E by 16¹, multiply the third to last digit in 638E by 16², multiply the fourth to last digit in 638E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
8 × 16¹ = 128
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:

14 + 128 + 768 + 24576 = 25486

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.

25486 ÷ 2 = 12743 with 0 remainder
12743 ÷ 2 = 6371 with 1 remainder
6371 ÷ 2 = 3185 with 1 remainder
3185 ÷ 2 = 1592 with 1 remainder
1592 ÷ 2 = 796 with 0 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 638E hexadecimal to binary:

638E hexadecimal = 110001110001110 binary

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638F hexadecimal to binary
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