BE0D hexadecimal to binary

Here we will show you how to convert the hexadecimal number BE0D 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 BE0D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BE0D by 16⁰, multiply the second to last digit in BE0D by 16¹, multiply the third to last digit in BE0D by 16², multiply the fourth to last digit in BE0D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
0 × 16¹ = 0
E × 16² = 3584
B × 16³ = 45056

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:

13 + 0 + 3584 + 45056 = 48653

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.

48653 ÷ 2 = 24326 with 1 remainder
24326 ÷ 2 = 12163 with 0 remainder
12163 ÷ 2 = 6081 with 1 remainder
6081 ÷ 2 = 3040 with 1 remainder
3040 ÷ 2 = 1520 with 0 remainder
1520 ÷ 2 = 760 with 0 remainder
760 ÷ 2 = 380 with 0 remainder
380 ÷ 2 = 190 with 0 remainder
190 ÷ 2 = 95 with 0 remainder
95 ÷ 2 = 47 with 1 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 BE0D hexadecimal to binary:

BE0D hexadecimal = 1011111000001101 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

BE0E hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.