E425 hexadecimal to binary

Here we will show you how to convert the hexadecimal number E425 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 E425 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E425 by 16⁰, multiply the second to last digit in E425 by 16¹, multiply the third to last digit in E425 by 16², multiply the fourth to last digit in E425 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
2 × 16¹ = 32
4 × 16² = 1024
E × 16³ = 57344

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:

5 + 32 + 1024 + 57344 = 58405

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.

58405 ÷ 2 = 29202 with 1 remainder
29202 ÷ 2 = 14601 with 0 remainder
14601 ÷ 2 = 7300 with 1 remainder
7300 ÷ 2 = 3650 with 0 remainder
3650 ÷ 2 = 1825 with 0 remainder
1825 ÷ 2 = 912 with 1 remainder
912 ÷ 2 = 456 with 0 remainder
456 ÷ 2 = 228 with 0 remainder
228 ÷ 2 = 114 with 0 remainder
114 ÷ 2 = 57 with 0 remainder
57 ÷ 2 = 28 with 1 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 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 E425 hexadecimal to binary:

E425 hexadecimal = 1110010000100101 binary

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E426 hexadecimal to binary
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