DA7D hexadecimal to binary

Here we will show you how to convert the hexadecimal number DA7D 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 DA7D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DA7D by 16⁰, multiply the second to last digit in DA7D by 16¹, multiply the third to last digit in DA7D by 16², multiply the fourth to last digit in DA7D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
7 × 16¹ = 112
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:

13 + 112 + 2560 + 53248 = 55933

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.

55933 ÷ 2 = 27966 with 1 remainder
27966 ÷ 2 = 13983 with 0 remainder
13983 ÷ 2 = 6991 with 1 remainder
6991 ÷ 2 = 3495 with 1 remainder
3495 ÷ 2 = 1747 with 1 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 DA7D hexadecimal to binary:

DA7D hexadecimal = 1101101001111101 binary

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DA7E hexadecimal to binary
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