313D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 313D 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 313D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 313D by 16⁰, multiply the second to last digit in 313D by 16¹, multiply the third to last digit in 313D by 16², multiply the fourth to last digit in 313D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
3 × 16¹ = 48
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:

13 + 48 + 256 + 12288 = 12605

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.

12605 ÷ 2 = 6302 with 1 remainder
6302 ÷ 2 = 3151 with 0 remainder
3151 ÷ 2 = 1575 with 1 remainder
1575 ÷ 2 = 787 with 1 remainder
787 ÷ 2 = 393 with 1 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 313D hexadecimal to binary:

313D hexadecimal = 11000100111101 binary

Hexadecimal to Binary Converter
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