312B hexadecimal to binary

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

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

B × 16⁰ = 11
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:

11 + 32 + 256 + 12288 = 12587

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.

12587 ÷ 2 = 6293 with 1 remainder
6293 ÷ 2 = 3146 with 1 remainder
3146 ÷ 2 = 1573 with 0 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 312B hexadecimal to binary:

312B hexadecimal = 11000100101011 binary

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

312C hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.