126 hexadecimal to binary

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

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

6 × 16⁰ = 6
2 × 16¹ = 32
1 × 16² = 256

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 + 32 + 256 = 294

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.

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 126 hexadecimal to binary:

126 hexadecimal = 100100110 binary

Hexadecimal to Binary Converter
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127 hexadecimal to binary
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