4024 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4024 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 4024 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4024 by 16⁰, multiply the second to last digit in 4024 by 16¹, multiply the third to last digit in 4024 by 16², multiply the fourth to last digit in 4024 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
2 × 16¹ = 32
0 × 16² = 0
4 × 16³ = 16384

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:

4 + 32 + 0 + 16384 = 16420

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.

16420 ÷ 2 = 8210 with 0 remainder
8210 ÷ 2 = 4105 with 0 remainder
4105 ÷ 2 = 2052 with 1 remainder
2052 ÷ 2 = 1026 with 0 remainder
1026 ÷ 2 = 513 with 0 remainder
513 ÷ 2 = 256 with 1 remainder
256 ÷ 2 = 128 with 0 remainder
128 ÷ 2 = 64 with 0 remainder
64 ÷ 2 = 32 with 0 remainder
32 ÷ 2 = 16 with 0 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 4024 hexadecimal to binary:

4024 hexadecimal = 100000000100100 binary

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4025 hexadecimal to binary
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