844F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 844F 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 844F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 844F by 16⁰, multiply the second to last digit in 844F by 16¹, multiply the third to last digit in 844F by 16², multiply the fourth to last digit in 844F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
4 × 16¹ = 64
4 × 16² = 1024
8 × 16³ = 32768

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 + 64 + 1024 + 32768 = 33871

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.

33871 ÷ 2 = 16935 with 1 remainder
16935 ÷ 2 = 8467 with 1 remainder
8467 ÷ 2 = 4233 with 1 remainder
4233 ÷ 2 = 2116 with 1 remainder
2116 ÷ 2 = 1058 with 0 remainder
1058 ÷ 2 = 529 with 0 remainder
529 ÷ 2 = 264 with 1 remainder
264 ÷ 2 = 132 with 0 remainder
132 ÷ 2 = 66 with 0 remainder
66 ÷ 2 = 33 with 0 remainder
33 ÷ 2 = 16 with 1 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 844F hexadecimal to binary:

844F hexadecimal = 1000010001001111 binary

Hexadecimal to Binary Converter
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