FB83 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FB83 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 FB83 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FB83 by 16⁰, multiply the second to last digit in FB83 by 16¹, multiply the third to last digit in FB83 by 16², multiply the fourth to last digit in FB83 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
8 × 16¹ = 128
B × 16² = 2816
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:

3 + 128 + 2816 + 61440 = 64387

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.

64387 ÷ 2 = 32193 with 1 remainder
32193 ÷ 2 = 16096 with 1 remainder
16096 ÷ 2 = 8048 with 0 remainder
8048 ÷ 2 = 4024 with 0 remainder
4024 ÷ 2 = 2012 with 0 remainder
2012 ÷ 2 = 1006 with 0 remainder
1006 ÷ 2 = 503 with 0 remainder
503 ÷ 2 = 251 with 1 remainder
251 ÷ 2 = 125 with 1 remainder
125 ÷ 2 = 62 with 1 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 FB83 hexadecimal to binary:

FB83 hexadecimal = 1111101110000011 binary

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FB84 hexadecimal to binary
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