126E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 126E 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 126E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 126E by 16⁰, multiply the second to last digit in 126E by 16¹, multiply the third to last digit in 126E by 16², multiply the fourth to last digit in 126E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
6 × 16¹ = 96
2 × 16² = 512
1 × 16³ = 4096

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 + 96 + 512 + 4096 = 4718

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.

4718 ÷ 2 = 2359 with 0 remainder
2359 ÷ 2 = 1179 with 1 remainder
1179 ÷ 2 = 589 with 1 remainder
589 ÷ 2 = 294 with 1 remainder
294 ÷ 2 = 147 with 0 remainder
147 ÷ 2 = 73 with 1 remainder
73 ÷ 2 = 36 with 1 remainder
36 ÷ 2 = 18 with 0 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 126E hexadecimal to binary:

126E hexadecimal = 1001001101110 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

126F hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.