259A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 259A 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 259A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 259A by 16⁰, multiply the second to last digit in 259A by 16¹, multiply the third to last digit in 259A by 16², multiply the fourth to last digit in 259A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
9 × 16¹ = 144
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 + 144 + 1280 + 8192 = 9626

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.

9626 ÷ 2 = 4813 with 0 remainder
4813 ÷ 2 = 2406 with 1 remainder
2406 ÷ 2 = 1203 with 0 remainder
1203 ÷ 2 = 601 with 1 remainder
601 ÷ 2 = 300 with 1 remainder
300 ÷ 2 = 150 with 0 remainder
150 ÷ 2 = 75 with 0 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 259A hexadecimal to binary:

259A hexadecimal = 10010110011010 binary

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259B hexadecimal to binary
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