F11D hexadecimal to binary

Here we will show you how to convert the hexadecimal number F11D 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 F11D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F11D by 16⁰, multiply the second to last digit in F11D by 16¹, multiply the third to last digit in F11D by 16², multiply the fourth to last digit in F11D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
1 × 16¹ = 16
1 × 16² = 256
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:

13 + 16 + 256 + 61440 = 61725

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.

61725 ÷ 2 = 30862 with 1 remainder
30862 ÷ 2 = 15431 with 0 remainder
15431 ÷ 2 = 7715 with 1 remainder
7715 ÷ 2 = 3857 with 1 remainder
3857 ÷ 2 = 1928 with 1 remainder
1928 ÷ 2 = 964 with 0 remainder
964 ÷ 2 = 482 with 0 remainder
482 ÷ 2 = 241 with 0 remainder
241 ÷ 2 = 120 with 1 remainder
120 ÷ 2 = 60 with 0 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 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 F11D hexadecimal to binary:

F11D hexadecimal = 1111000100011101 binary

Hexadecimal to Binary Converter
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