266A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 266A 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 266A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 266A by 16⁰, multiply the second to last digit in 266A by 16¹, multiply the third to last digit in 266A by 16², multiply the fourth to last digit in 266A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
6 × 16¹ = 96
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:

10 + 96 + 1536 + 8192 = 9834

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.

9834 ÷ 2 = 4917 with 0 remainder
4917 ÷ 2 = 2458 with 1 remainder
2458 ÷ 2 = 1229 with 0 remainder
1229 ÷ 2 = 614 with 1 remainder
614 ÷ 2 = 307 with 0 remainder
307 ÷ 2 = 153 with 1 remainder
153 ÷ 2 = 76 with 1 remainder
76 ÷ 2 = 38 with 0 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 266A hexadecimal to binary:

266A hexadecimal = 10011001101010 binary

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266B hexadecimal to binary
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