63EF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 63EF 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 63EF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 63EF by 16⁰, multiply the second to last digit in 63EF by 16¹, multiply the third to last digit in 63EF by 16², multiply the fourth to last digit in 63EF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
E × 16¹ = 224
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:

15 + 224 + 768 + 24576 = 25583

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.

25583 ÷ 2 = 12791 with 1 remainder
12791 ÷ 2 = 6395 with 1 remainder
6395 ÷ 2 = 3197 with 1 remainder
3197 ÷ 2 = 1598 with 1 remainder
1598 ÷ 2 = 799 with 0 remainder
799 ÷ 2 = 399 with 1 remainder
399 ÷ 2 = 199 with 1 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 63EF hexadecimal to binary:

63EF hexadecimal = 110001111101111 binary

Hexadecimal to Binary Converter
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