E31F hexadecimal to binary

Here we will show you how to convert the hexadecimal number E31F 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 E31F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E31F by 16⁰, multiply the second to last digit in E31F by 16¹, multiply the third to last digit in E31F by 16², multiply the fourth to last digit in E31F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
1 × 16¹ = 16
3 × 16² = 768
E × 16³ = 57344

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 + 57344 = 58143

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.

58143 ÷ 2 = 29071 with 1 remainder
29071 ÷ 2 = 14535 with 1 remainder
14535 ÷ 2 = 7267 with 1 remainder
7267 ÷ 2 = 3633 with 1 remainder
3633 ÷ 2 = 1816 with 1 remainder
1816 ÷ 2 = 908 with 0 remainder
908 ÷ 2 = 454 with 0 remainder
454 ÷ 2 = 227 with 0 remainder
227 ÷ 2 = 113 with 1 remainder
113 ÷ 2 = 56 with 1 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 E31F hexadecimal to binary:

E31F hexadecimal = 1110001100011111 binary

Hexadecimal to Binary Converter
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