FBCE hexadecimal to binary

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

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

E × 16⁰ = 14
C × 16¹ = 192
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 + 192 + 2816 + 61440 = 64462

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.

64462 ÷ 2 = 32231 with 0 remainder
32231 ÷ 2 = 16115 with 1 remainder
16115 ÷ 2 = 8057 with 1 remainder
8057 ÷ 2 = 4028 with 1 remainder
4028 ÷ 2 = 2014 with 0 remainder
2014 ÷ 2 = 1007 with 0 remainder
1007 ÷ 2 = 503 with 1 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 FBCE hexadecimal to binary:

FBCE hexadecimal = 1111101111001110 binary

Hexadecimal to Binary Converter
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FBCF hexadecimal to binary
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