DA6A hexadecimal to binary

Here we will show you how to convert the hexadecimal number DA6A 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 DA6A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DA6A by 16⁰, multiply the second to last digit in DA6A by 16¹, multiply the third to last digit in DA6A by 16², multiply the fourth to last digit in DA6A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
6 × 16¹ = 96
A × 16² = 2560
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:

10 + 96 + 2560 + 53248 = 55914

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.

55914 ÷ 2 = 27957 with 0 remainder
27957 ÷ 2 = 13978 with 1 remainder
13978 ÷ 2 = 6989 with 0 remainder
6989 ÷ 2 = 3494 with 1 remainder
3494 ÷ 2 = 1747 with 0 remainder
1747 ÷ 2 = 873 with 1 remainder
873 ÷ 2 = 436 with 1 remainder
436 ÷ 2 = 218 with 0 remainder
218 ÷ 2 = 109 with 0 remainder
109 ÷ 2 = 54 with 1 remainder
54 ÷ 2 = 27 with 0 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 DA6A hexadecimal to binary:

DA6A hexadecimal = 1101101001101010 binary

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DA6B hexadecimal to binary
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