5B8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5B8 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 5B8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5B8 by 16⁰, multiply the second to last digit in 5B8 by 16¹, multiply the third to last digit in 5B8 by 16², multiply the fourth to last digit in 5B8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
B × 16¹ = 176
5 × 16² = 1280

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:

8 + 176 + 1280 = 1464

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.

1464 ÷ 2 = 732 with 0 remainder
732 ÷ 2 = 366 with 0 remainder
366 ÷ 2 = 183 with 0 remainder
183 ÷ 2 = 91 with 1 remainder
91 ÷ 2 = 45 with 1 remainder
45 ÷ 2 = 22 with 1 remainder
22 ÷ 2 = 11 with 0 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 5B8 hexadecimal to binary:

5B8 hexadecimal = 10110111000 binary

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5B9 hexadecimal to binary
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