F89B hexadecimal to binary

Here we will show you how to convert the hexadecimal number F89B 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 F89B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F89B by 16⁰, multiply the second to last digit in F89B by 16¹, multiply the third to last digit in F89B by 16², multiply the fourth to last digit in F89B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
9 × 16¹ = 144
8 × 16² = 2048
F × 16³ = 61440

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:

11 + 144 + 2048 + 61440 = 63643

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.

63643 ÷ 2 = 31821 with 1 remainder
31821 ÷ 2 = 15910 with 1 remainder
15910 ÷ 2 = 7955 with 0 remainder
7955 ÷ 2 = 3977 with 1 remainder
3977 ÷ 2 = 1988 with 1 remainder
1988 ÷ 2 = 994 with 0 remainder
994 ÷ 2 = 497 with 0 remainder
497 ÷ 2 = 248 with 1 remainder
248 ÷ 2 = 124 with 0 remainder
124 ÷ 2 = 62 with 0 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 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 F89B hexadecimal to binary:

F89B hexadecimal = 1111100010011011 binary

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