4ED8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4ED8 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 4ED8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4ED8 by 16⁰, multiply the second to last digit in 4ED8 by 16¹, multiply the third to last digit in 4ED8 by 16², multiply the fourth to last digit in 4ED8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
D × 16¹ = 208
E × 16² = 3584
4 × 16³ = 16384

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:

8 + 208 + 3584 + 16384 = 20184

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.

20184 ÷ 2 = 10092 with 0 remainder
10092 ÷ 2 = 5046 with 0 remainder
5046 ÷ 2 = 2523 with 0 remainder
2523 ÷ 2 = 1261 with 1 remainder
1261 ÷ 2 = 630 with 1 remainder
630 ÷ 2 = 315 with 0 remainder
315 ÷ 2 = 157 with 1 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 4ED8 hexadecimal to binary:

4ED8 hexadecimal = 100111011011000 binary

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4ED9 hexadecimal to binary
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