26AE hexadecimal to binary

Here we will show you how to convert the hexadecimal number 26AE 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 26AE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 26AE by 16⁰, multiply the second to last digit in 26AE by 16¹, multiply the third to last digit in 26AE by 16², multiply the fourth to last digit in 26AE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
A × 16¹ = 160
6 × 16² = 1536
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:

14 + 160 + 1536 + 8192 = 9902

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.

9902 ÷ 2 = 4951 with 0 remainder
4951 ÷ 2 = 2475 with 1 remainder
2475 ÷ 2 = 1237 with 1 remainder
1237 ÷ 2 = 618 with 1 remainder
618 ÷ 2 = 309 with 0 remainder
309 ÷ 2 = 154 with 1 remainder
154 ÷ 2 = 77 with 0 remainder
77 ÷ 2 = 38 with 1 remainder
38 ÷ 2 = 19 with 0 remainder
19 ÷ 2 = 9 with 1 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 26AE hexadecimal to binary:

26AE hexadecimal = 10011010101110 binary

Hexadecimal to Binary Converter
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26AF hexadecimal to binary
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