B899 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B899 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 B899 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B899 by 16⁰, multiply the second to last digit in B899 by 16¹, multiply the third to last digit in B899 by 16², multiply the fourth to last digit in B899 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
9 × 16¹ = 144
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:

9 + 144 + 2048 + 45056 = 47257

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.

47257 ÷ 2 = 23628 with 1 remainder
23628 ÷ 2 = 11814 with 0 remainder
11814 ÷ 2 = 5907 with 0 remainder
5907 ÷ 2 = 2953 with 1 remainder
2953 ÷ 2 = 1476 with 1 remainder
1476 ÷ 2 = 738 with 0 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 B899 hexadecimal to binary:

B899 hexadecimal = 1011100010011001 binary

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