631F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 631F 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 631F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 631F by 16⁰, multiply the second to last digit in 631F by 16¹, multiply the third to last digit in 631F by 16², multiply the fourth to last digit in 631F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
1 × 16¹ = 16
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 + 16 + 768 + 24576 = 25375

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.

25375 ÷ 2 = 12687 with 1 remainder
12687 ÷ 2 = 6343 with 1 remainder
6343 ÷ 2 = 3171 with 1 remainder
3171 ÷ 2 = 1585 with 1 remainder
1585 ÷ 2 = 792 with 1 remainder
792 ÷ 2 = 396 with 0 remainder
396 ÷ 2 = 198 with 0 remainder
198 ÷ 2 = 99 with 0 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 631F hexadecimal to binary:

631F hexadecimal = 110001100011111 binary

Hexadecimal to Binary Converter
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