25E0 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 25E0 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 25E0 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 25E0 by 16⁰, multiply the second to last digit in 25E0 by 16¹, multiply the third to last digit in 25E0 by 16², multiply the fourth to last digit in 25E0 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
E × 16¹ = 224
5 × 16² = 1280
2 × 16³ = 8192

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 + 224 + 1280 + 8192 = 9696

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.

9696 ÷ 2 = 4848 with 0 remainder
4848 ÷ 2 = 2424 with 0 remainder
2424 ÷ 2 = 1212 with 0 remainder
1212 ÷ 2 = 606 with 0 remainder
606 ÷ 2 = 303 with 0 remainder
303 ÷ 2 = 151 with 1 remainder
151 ÷ 2 = 75 with 1 remainder
75 ÷ 2 = 37 with 1 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 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 25E0 hexadecimal to binary:

25E0 hexadecimal = 10010111100000 binary

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