C31F hexadecimal to binary

Here we will show you how to convert the hexadecimal number C31F 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 C31F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C31F by 16⁰, multiply the second to last digit in C31F by 16¹, multiply the third to last digit in C31F by 16², multiply the fourth to last digit in C31F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
1 × 16¹ = 16
3 × 16² = 768
C × 16³ = 49152

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 + 49152 = 49951

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.

49951 ÷ 2 = 24975 with 1 remainder
24975 ÷ 2 = 12487 with 1 remainder
12487 ÷ 2 = 6243 with 1 remainder
6243 ÷ 2 = 3121 with 1 remainder
3121 ÷ 2 = 1560 with 1 remainder
1560 ÷ 2 = 780 with 0 remainder
780 ÷ 2 = 390 with 0 remainder
390 ÷ 2 = 195 with 0 remainder
195 ÷ 2 = 97 with 1 remainder
97 ÷ 2 = 48 with 1 remainder
48 ÷ 2 = 24 with 0 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 C31F hexadecimal to binary:

C31F hexadecimal = 1100001100011111 binary

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