FF1B hexadecimal to binary

Here we will show you how to convert the hexadecimal number FF1B 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 FF1B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FF1B by 16⁰, multiply the second to last digit in FF1B by 16¹, multiply the third to last digit in FF1B by 16², multiply the fourth to last digit in FF1B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
1 × 16¹ = 16
F × 16² = 3840
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 + 16 + 3840 + 61440 = 65307

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.

65307 ÷ 2 = 32653 with 1 remainder
32653 ÷ 2 = 16326 with 1 remainder
16326 ÷ 2 = 8163 with 0 remainder
8163 ÷ 2 = 4081 with 1 remainder
4081 ÷ 2 = 2040 with 1 remainder
2040 ÷ 2 = 1020 with 0 remainder
1020 ÷ 2 = 510 with 0 remainder
510 ÷ 2 = 255 with 0 remainder
255 ÷ 2 = 127 with 1 remainder
127 ÷ 2 = 63 with 1 remainder
63 ÷ 2 = 31 with 1 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 FF1B hexadecimal to binary:

FF1B hexadecimal = 1111111100011011 binary

Hexadecimal to Binary Converter
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