4240 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4240 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 4240 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4240 by 16⁰, multiply the second to last digit in 4240 by 16¹, multiply the third to last digit in 4240 by 16², multiply the fourth to last digit in 4240 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
4 × 16¹ = 64
2 × 16² = 512
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:

0 + 64 + 512 + 16384 = 16960

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.

16960 ÷ 2 = 8480 with 0 remainder
8480 ÷ 2 = 4240 with 0 remainder
4240 ÷ 2 = 2120 with 0 remainder
2120 ÷ 2 = 1060 with 0 remainder
1060 ÷ 2 = 530 with 0 remainder
530 ÷ 2 = 265 with 0 remainder
265 ÷ 2 = 132 with 1 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 4240 hexadecimal to binary:

4240 hexadecimal = 100001001000000 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

4241 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.