DCAA hexadecimal to binary

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

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

A × 16⁰ = 10
A × 16¹ = 160
C × 16² = 3072
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 + 160 + 3072 + 53248 = 56490

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.

56490 ÷ 2 = 28245 with 0 remainder
28245 ÷ 2 = 14122 with 1 remainder
14122 ÷ 2 = 7061 with 0 remainder
7061 ÷ 2 = 3530 with 1 remainder
3530 ÷ 2 = 1765 with 0 remainder
1765 ÷ 2 = 882 with 1 remainder
882 ÷ 2 = 441 with 0 remainder
441 ÷ 2 = 220 with 1 remainder
220 ÷ 2 = 110 with 0 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 DCAA hexadecimal to binary:

DCAA hexadecimal = 1101110010101010 binary

Hexadecimal to Binary Converter
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DCAB hexadecimal to binary
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