83D1 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 83D1 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 83D1 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 83D1 by 16⁰, multiply the second to last digit in 83D1 by 16¹, multiply the third to last digit in 83D1 by 16², multiply the fourth to last digit in 83D1 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
D × 16¹ = 208
3 × 16² = 768
8 × 16³ = 32768

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:

1 + 208 + 768 + 32768 = 33745

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.

33745 ÷ 2 = 16872 with 1 remainder
16872 ÷ 2 = 8436 with 0 remainder
8436 ÷ 2 = 4218 with 0 remainder
4218 ÷ 2 = 2109 with 0 remainder
2109 ÷ 2 = 1054 with 1 remainder
1054 ÷ 2 = 527 with 0 remainder
527 ÷ 2 = 263 with 1 remainder
263 ÷ 2 = 131 with 1 remainder
131 ÷ 2 = 65 with 1 remainder
65 ÷ 2 = 32 with 1 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 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 83D1 hexadecimal to binary:

83D1 hexadecimal = 1000001111010001 binary

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

83D2 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.