DEA8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DEA8 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 DEA8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DEA8 by 16⁰, multiply the second to last digit in DEA8 by 16¹, multiply the third to last digit in DEA8 by 16², multiply the fourth to last digit in DEA8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
A × 16¹ = 160
E × 16² = 3584
D × 16³ = 53248

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 + 160 + 3584 + 53248 = 57000

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.

57000 ÷ 2 = 28500 with 0 remainder
28500 ÷ 2 = 14250 with 0 remainder
14250 ÷ 2 = 7125 with 0 remainder
7125 ÷ 2 = 3562 with 1 remainder
3562 ÷ 2 = 1781 with 0 remainder
1781 ÷ 2 = 890 with 1 remainder
890 ÷ 2 = 445 with 0 remainder
445 ÷ 2 = 222 with 1 remainder
222 ÷ 2 = 111 with 0 remainder
111 ÷ 2 = 55 with 1 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 DEA8 hexadecimal to binary:

DEA8 hexadecimal = 1101111010101000 binary

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DEA9 hexadecimal to binary
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