7ED6 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7ED6 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 7ED6 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7ED6 by 16⁰, multiply the second to last digit in 7ED6 by 16¹, multiply the third to last digit in 7ED6 by 16², multiply the fourth to last digit in 7ED6 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
D × 16¹ = 208
E × 16² = 3584
7 × 16³ = 28672

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:

6 + 208 + 3584 + 28672 = 32470

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.

32470 ÷ 2 = 16235 with 0 remainder
16235 ÷ 2 = 8117 with 1 remainder
8117 ÷ 2 = 4058 with 1 remainder
4058 ÷ 2 = 2029 with 0 remainder
2029 ÷ 2 = 1014 with 1 remainder
1014 ÷ 2 = 507 with 0 remainder
507 ÷ 2 = 253 with 1 remainder
253 ÷ 2 = 126 with 1 remainder
126 ÷ 2 = 63 with 0 remainder
63 ÷ 2 = 31 with 1 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 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 7ED6 hexadecimal to binary:

7ED6 hexadecimal = 111111011010110 binary

Hexadecimal to Binary Converter
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7ED7 hexadecimal to binary
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