25C6 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 25C6 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 25C6 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 25C6 by 16⁰, multiply the second to last digit in 25C6 by 16¹, multiply the third to last digit in 25C6 by 16², multiply the fourth to last digit in 25C6 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
C × 16¹ = 192
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:

6 + 192 + 1280 + 8192 = 9670

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.

9670 ÷ 2 = 4835 with 0 remainder
4835 ÷ 2 = 2417 with 1 remainder
2417 ÷ 2 = 1208 with 1 remainder
1208 ÷ 2 = 604 with 0 remainder
604 ÷ 2 = 302 with 0 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 25C6 hexadecimal to binary:

25C6 hexadecimal = 10010111000110 binary

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25C7 hexadecimal to binary
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