70DA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 70DA 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 70DA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 70DA by 16⁰, multiply the second to last digit in 70DA by 16¹, multiply the third to last digit in 70DA by 16², multiply the fourth to last digit in 70DA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
D × 16¹ = 208
0 × 16² = 0
7 × 16³ = 28672

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 + 0 + 28672 = 28890

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.

28890 ÷ 2 = 14445 with 0 remainder
14445 ÷ 2 = 7222 with 1 remainder
7222 ÷ 2 = 3611 with 0 remainder
3611 ÷ 2 = 1805 with 1 remainder
1805 ÷ 2 = 902 with 1 remainder
902 ÷ 2 = 451 with 0 remainder
451 ÷ 2 = 225 with 1 remainder
225 ÷ 2 = 112 with 1 remainder
112 ÷ 2 = 56 with 0 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 70DA hexadecimal to binary:

70DA hexadecimal = 111000011011010 binary

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70DB hexadecimal to binary
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