6394 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 6394 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 6394 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 6394 by 16⁰, multiply the second to last digit in 6394 by 16¹, multiply the third to last digit in 6394 by 16², multiply the fourth to last digit in 6394 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
9 × 16¹ = 144
3 × 16² = 768
6 × 16³ = 24576

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:

4 + 144 + 768 + 24576 = 25492

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.

25492 ÷ 2 = 12746 with 0 remainder
12746 ÷ 2 = 6373 with 0 remainder
6373 ÷ 2 = 3186 with 1 remainder
3186 ÷ 2 = 1593 with 0 remainder
1593 ÷ 2 = 796 with 1 remainder
796 ÷ 2 = 398 with 0 remainder
398 ÷ 2 = 199 with 0 remainder
199 ÷ 2 = 99 with 1 remainder
99 ÷ 2 = 49 with 1 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 6394 hexadecimal to binary:

6394 hexadecimal = 110001110010100 binary

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

6395 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.