FBCB hexadecimal to binary

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

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

B × 16⁰ = 11
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:

11 + 192 + 2816 + 61440 = 64459

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.

64459 ÷ 2 = 32229 with 1 remainder
32229 ÷ 2 = 16114 with 1 remainder
16114 ÷ 2 = 8057 with 0 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 FBCB hexadecimal to binary:

FBCB hexadecimal = 1111101111001011 binary

Hexadecimal to Binary Converter
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