FCDA hexadecimal to binary

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

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

A × 16⁰ = 10
D × 16¹ = 208
C × 16² = 3072
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:

10 + 208 + 3072 + 61440 = 64730

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.

64730 ÷ 2 = 32365 with 0 remainder
32365 ÷ 2 = 16182 with 1 remainder
16182 ÷ 2 = 8091 with 0 remainder
8091 ÷ 2 = 4045 with 1 remainder
4045 ÷ 2 = 2022 with 1 remainder
2022 ÷ 2 = 1011 with 0 remainder
1011 ÷ 2 = 505 with 1 remainder
505 ÷ 2 = 252 with 1 remainder
252 ÷ 2 = 126 with 0 remainder
126 ÷ 2 = 63 with 0 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 FCDA hexadecimal to binary:

FCDA hexadecimal = 1111110011011010 binary

Hexadecimal to Binary Converter
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FCDB hexadecimal to binary
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