DD67 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DD67 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 DD67 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DD67 by 16⁰, multiply the second to last digit in DD67 by 16¹, multiply the third to last digit in DD67 by 16², multiply the fourth to last digit in DD67 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
6 × 16¹ = 96
D × 16² = 3328
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:

7 + 96 + 3328 + 53248 = 56679

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.

56679 ÷ 2 = 28339 with 1 remainder
28339 ÷ 2 = 14169 with 1 remainder
14169 ÷ 2 = 7084 with 1 remainder
7084 ÷ 2 = 3542 with 0 remainder
3542 ÷ 2 = 1771 with 0 remainder
1771 ÷ 2 = 885 with 1 remainder
885 ÷ 2 = 442 with 1 remainder
442 ÷ 2 = 221 with 0 remainder
221 ÷ 2 = 110 with 1 remainder
110 ÷ 2 = 55 with 0 remainder
55 ÷ 2 = 27 with 1 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 DD67 hexadecimal to binary:

DD67 hexadecimal = 1101110101100111 binary

Hexadecimal to Binary Converter
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DD68 hexadecimal to binary
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