9D1F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9D1F 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 9D1F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9D1F by 16⁰, multiply the second to last digit in 9D1F by 16¹, multiply the third to last digit in 9D1F by 16², multiply the fourth to last digit in 9D1F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
1 × 16¹ = 16
D × 16² = 3328
9 × 16³ = 36864

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:

15 + 16 + 3328 + 36864 = 40223

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.

40223 ÷ 2 = 20111 with 1 remainder
20111 ÷ 2 = 10055 with 1 remainder
10055 ÷ 2 = 5027 with 1 remainder
5027 ÷ 2 = 2513 with 1 remainder
2513 ÷ 2 = 1256 with 1 remainder
1256 ÷ 2 = 628 with 0 remainder
628 ÷ 2 = 314 with 0 remainder
314 ÷ 2 = 157 with 0 remainder
157 ÷ 2 = 78 with 1 remainder
78 ÷ 2 = 39 with 0 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 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 9D1F hexadecimal to binary:

9D1F hexadecimal = 1001110100011111 binary

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

9D20 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.