312E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 312E 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 312E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 312E by 16⁰, multiply the second to last digit in 312E by 16¹, multiply the third to last digit in 312E by 16², multiply the fourth to last digit in 312E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
2 × 16¹ = 32
1 × 16² = 256
3 × 16³ = 12288

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 + 32 + 256 + 12288 = 12590

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.

12590 ÷ 2 = 6295 with 0 remainder
6295 ÷ 2 = 3147 with 1 remainder
3147 ÷ 2 = 1573 with 1 remainder
1573 ÷ 2 = 786 with 1 remainder
786 ÷ 2 = 393 with 0 remainder
393 ÷ 2 = 196 with 1 remainder
196 ÷ 2 = 98 with 0 remainder
98 ÷ 2 = 49 with 0 remainder
49 ÷ 2 = 24 with 1 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 312E hexadecimal to binary:

312E hexadecimal = 11000100101110 binary

Hexadecimal to Binary Converter
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312F hexadecimal to binary
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