B8EF hexadecimal to binary

Here we will show you how to convert the hexadecimal number B8EF 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 B8EF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B8EF by 16⁰, multiply the second to last digit in B8EF by 16¹, multiply the third to last digit in B8EF by 16², multiply the fourth to last digit in B8EF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
E × 16¹ = 224
8 × 16² = 2048
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:

15 + 224 + 2048 + 45056 = 47343

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.

47343 ÷ 2 = 23671 with 1 remainder
23671 ÷ 2 = 11835 with 1 remainder
11835 ÷ 2 = 5917 with 1 remainder
5917 ÷ 2 = 2958 with 1 remainder
2958 ÷ 2 = 1479 with 0 remainder
1479 ÷ 2 = 739 with 1 remainder
739 ÷ 2 = 369 with 1 remainder
369 ÷ 2 = 184 with 1 remainder
184 ÷ 2 = 92 with 0 remainder
92 ÷ 2 = 46 with 0 remainder
46 ÷ 2 = 23 with 0 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 B8EF hexadecimal to binary:

B8EF hexadecimal = 1011100011101111 binary

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