6ED1 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 6ED1 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 6ED1 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 6ED1 by 16⁰, multiply the second to last digit in 6ED1 by 16¹, multiply the third to last digit in 6ED1 by 16², multiply the fourth to last digit in 6ED1 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
D × 16¹ = 208
E × 16² = 3584
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:

1 + 208 + 3584 + 24576 = 28369

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.

28369 ÷ 2 = 14184 with 1 remainder
14184 ÷ 2 = 7092 with 0 remainder
7092 ÷ 2 = 3546 with 0 remainder
3546 ÷ 2 = 1773 with 0 remainder
1773 ÷ 2 = 886 with 1 remainder
886 ÷ 2 = 443 with 0 remainder
443 ÷ 2 = 221 with 1 remainder
221 ÷ 2 = 110 with 1 remainder
110 ÷ 2 = 55 with 0 remainder
55 ÷ 2 = 27 with 1 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 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 6ED1 hexadecimal to binary:

6ED1 hexadecimal = 110111011010001 binary

Hexadecimal to Binary Converter
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6ED2 hexadecimal to binary
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