F4D hexadecimal to binary

Here we will show you how to convert the hexadecimal number F4D 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 F4D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F4D by 16⁰, multiply the second to last digit in F4D by 16¹, multiply the third to last digit in F4D by 16², multiply the fourth to last digit in F4D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
4 × 16¹ = 64
F × 16² = 3840

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 + 64 + 3840 = 3917

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.

3917 ÷ 2 = 1958 with 1 remainder
1958 ÷ 2 = 979 with 0 remainder
979 ÷ 2 = 489 with 1 remainder
489 ÷ 2 = 244 with 1 remainder
244 ÷ 2 = 122 with 0 remainder
122 ÷ 2 = 61 with 0 remainder
61 ÷ 2 = 30 with 1 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 F4D hexadecimal to binary:

F4D hexadecimal = 111101001101 binary

Hexadecimal to Binary Converter
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F4E hexadecimal to binary
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