DEA5 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DEA5 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 DEA5 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DEA5 by 16⁰, multiply the second to last digit in DEA5 by 16¹, multiply the third to last digit in DEA5 by 16², multiply the fourth to last digit in DEA5 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
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:

5 + 160 + 3584 + 53248 = 56997

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.

56997 ÷ 2 = 28498 with 1 remainder
28498 ÷ 2 = 14249 with 0 remainder
14249 ÷ 2 = 7124 with 1 remainder
7124 ÷ 2 = 3562 with 0 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 DEA5 hexadecimal to binary:

DEA5 hexadecimal = 1101111010100101 binary

Hexadecimal to Binary Converter
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DEA6 hexadecimal to binary
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