1FCF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1FCF 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 1FCF from hexadecimal to binary are explained below.

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

F × 16⁰ = 15
C × 16¹ = 192
F × 16² = 3840
1 × 16³ = 4096

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:

15 + 192 + 3840 + 4096 = 8143

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.

8143 ÷ 2 = 4071 with 1 remainder
4071 ÷ 2 = 2035 with 1 remainder
2035 ÷ 2 = 1017 with 1 remainder
1017 ÷ 2 = 508 with 1 remainder
508 ÷ 2 = 254 with 0 remainder
254 ÷ 2 = 127 with 0 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 1FCF hexadecimal to binary:

1FCF hexadecimal = 1111111001111 binary

Hexadecimal to Binary Converter
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