12DA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 12DA 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 12DA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 12DA by 16⁰, multiply the second to last digit in 12DA by 16¹, multiply the third to last digit in 12DA by 16², multiply the fourth to last digit in 12DA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
D × 16¹ = 208
2 × 16² = 512
1 × 16³ = 4096

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 + 512 + 4096 = 4826

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.

4826 ÷ 2 = 2413 with 0 remainder
2413 ÷ 2 = 1206 with 1 remainder
1206 ÷ 2 = 603 with 0 remainder
603 ÷ 2 = 301 with 1 remainder
301 ÷ 2 = 150 with 1 remainder
150 ÷ 2 = 75 with 0 remainder
75 ÷ 2 = 37 with 1 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 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 12DA hexadecimal to binary:

12DA hexadecimal = 1001011011010 binary

Hexadecimal to Binary Converter
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12DB hexadecimal to binary
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