25DA hexadecimal to binary

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

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

A × 16⁰ = 10
D × 16¹ = 208
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:

10 + 208 + 1280 + 8192 = 9690

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.

9690 ÷ 2 = 4845 with 0 remainder
4845 ÷ 2 = 2422 with 1 remainder
2422 ÷ 2 = 1211 with 0 remainder
1211 ÷ 2 = 605 with 1 remainder
605 ÷ 2 = 302 with 1 remainder
302 ÷ 2 = 151 with 0 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 25DA hexadecimal to binary:

25DA hexadecimal = 10010111011010 binary

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25DB hexadecimal to binary
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