325E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 325E 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 325E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 325E by 16⁰, multiply the second to last digit in 325E by 16¹, multiply the third to last digit in 325E by 16², multiply the fourth to last digit in 325E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
5 × 16¹ = 80
2 × 16² = 512
3 × 16³ = 12288

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:

14 + 80 + 512 + 12288 = 12894

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.

12894 ÷ 2 = 6447 with 0 remainder
6447 ÷ 2 = 3223 with 1 remainder
3223 ÷ 2 = 1611 with 1 remainder
1611 ÷ 2 = 805 with 1 remainder
805 ÷ 2 = 402 with 1 remainder
402 ÷ 2 = 201 with 0 remainder
201 ÷ 2 = 100 with 1 remainder
100 ÷ 2 = 50 with 0 remainder
50 ÷ 2 = 25 with 0 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 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 325E hexadecimal to binary:

325E hexadecimal = 11001001011110 binary

Hexadecimal to Binary Converter
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325F hexadecimal to binary
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