FB5E hexadecimal to binary

Here we will show you how to convert the hexadecimal number FB5E 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 FB5E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FB5E by 16⁰, multiply the second to last digit in FB5E by 16¹, multiply the third to last digit in FB5E by 16², multiply the fourth to last digit in FB5E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
5 × 16¹ = 80
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:

14 + 80 + 2816 + 61440 = 64350

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.

64350 ÷ 2 = 32175 with 0 remainder
32175 ÷ 2 = 16087 with 1 remainder
16087 ÷ 2 = 8043 with 1 remainder
8043 ÷ 2 = 4021 with 1 remainder
4021 ÷ 2 = 2010 with 1 remainder
2010 ÷ 2 = 1005 with 0 remainder
1005 ÷ 2 = 502 with 1 remainder
502 ÷ 2 = 251 with 0 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 FB5E hexadecimal to binary:

FB5E hexadecimal = 1111101101011110 binary

Hexadecimal to Binary Converter
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FB5F hexadecimal to binary
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