DD5A hexadecimal to binary

Here we will show you how to convert the hexadecimal number DD5A 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 DD5A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DD5A by 16⁰, multiply the second to last digit in DD5A by 16¹, multiply the third to last digit in DD5A by 16², multiply the fourth to last digit in DD5A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
5 × 16¹ = 80
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:

10 + 80 + 3328 + 53248 = 56666

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.

56666 ÷ 2 = 28333 with 0 remainder
28333 ÷ 2 = 14166 with 1 remainder
14166 ÷ 2 = 7083 with 0 remainder
7083 ÷ 2 = 3541 with 1 remainder
3541 ÷ 2 = 1770 with 1 remainder
1770 ÷ 2 = 885 with 0 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 DD5A hexadecimal to binary:

DD5A hexadecimal = 1101110101011010 binary

Hexadecimal to Binary Converter
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DD5B hexadecimal to binary
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