27DA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 27DA 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 27DA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 27DA by 16⁰, multiply the second to last digit in 27DA by 16¹, multiply the third to last digit in 27DA by 16², multiply the fourth to last digit in 27DA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
D × 16¹ = 208
7 × 16² = 1792
2 × 16³ = 8192

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 + 208 + 1792 + 8192 = 10202

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.

10202 ÷ 2 = 5101 with 0 remainder
5101 ÷ 2 = 2550 with 1 remainder
2550 ÷ 2 = 1275 with 0 remainder
1275 ÷ 2 = 637 with 1 remainder
637 ÷ 2 = 318 with 1 remainder
318 ÷ 2 = 159 with 0 remainder
159 ÷ 2 = 79 with 1 remainder
79 ÷ 2 = 39 with 1 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 27DA hexadecimal to binary:

27DA hexadecimal = 10011111011010 binary

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27DB hexadecimal to binary
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