B8BF hexadecimal to binary

Here we will show you how to convert the hexadecimal number B8BF 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 B8BF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B8BF by 16⁰, multiply the second to last digit in B8BF by 16¹, multiply the third to last digit in B8BF by 16², multiply the fourth to last digit in B8BF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
B × 16¹ = 176
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 + 176 + 2048 + 45056 = 47295

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.

47295 ÷ 2 = 23647 with 1 remainder
23647 ÷ 2 = 11823 with 1 remainder
11823 ÷ 2 = 5911 with 1 remainder
5911 ÷ 2 = 2955 with 1 remainder
2955 ÷ 2 = 1477 with 1 remainder
1477 ÷ 2 = 738 with 1 remainder
738 ÷ 2 = 369 with 0 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 B8BF hexadecimal to binary:

B8BF hexadecimal = 1011100010111111 binary

Hexadecimal to Binary Converter
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