ED6A hexadecimal to binary

Here we will show you how to convert the hexadecimal number ED6A 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 ED6A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in ED6A by 16⁰, multiply the second to last digit in ED6A by 16¹, multiply the third to last digit in ED6A by 16², multiply the fourth to last digit in ED6A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
6 × 16¹ = 96
D × 16² = 3328
E × 16³ = 57344

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:

10 + 96 + 3328 + 57344 = 60778

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.

60778 ÷ 2 = 30389 with 0 remainder
30389 ÷ 2 = 15194 with 1 remainder
15194 ÷ 2 = 7597 with 0 remainder
7597 ÷ 2 = 3798 with 1 remainder
3798 ÷ 2 = 1899 with 0 remainder
1899 ÷ 2 = 949 with 1 remainder
949 ÷ 2 = 474 with 1 remainder
474 ÷ 2 = 237 with 0 remainder
237 ÷ 2 = 118 with 1 remainder
118 ÷ 2 = 59 with 0 remainder
59 ÷ 2 = 29 with 1 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 ED6A hexadecimal to binary:

ED6A hexadecimal = 1110110101101010 binary

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ED6B hexadecimal to binary
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