D4F3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number D4F3 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 D4F3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D4F3 by 16⁰, multiply the second to last digit in D4F3 by 16¹, multiply the third to last digit in D4F3 by 16², multiply the fourth to last digit in D4F3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
F × 16¹ = 240
4 × 16² = 1024
D × 16³ = 53248

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:

3 + 240 + 1024 + 53248 = 54515

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.

54515 ÷ 2 = 27257 with 1 remainder
27257 ÷ 2 = 13628 with 1 remainder
13628 ÷ 2 = 6814 with 0 remainder
6814 ÷ 2 = 3407 with 0 remainder
3407 ÷ 2 = 1703 with 1 remainder
1703 ÷ 2 = 851 with 1 remainder
851 ÷ 2 = 425 with 1 remainder
425 ÷ 2 = 212 with 1 remainder
212 ÷ 2 = 106 with 0 remainder
106 ÷ 2 = 53 with 0 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 D4F3 hexadecimal to binary:

D4F3 hexadecimal = 1101010011110011 binary

Hexadecimal to Binary Converter
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