DACC hexadecimal to binary

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

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

C × 16⁰ = 12
C × 16¹ = 192
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:

12 + 192 + 2560 + 53248 = 56012

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.

56012 ÷ 2 = 28006 with 0 remainder
28006 ÷ 2 = 14003 with 0 remainder
14003 ÷ 2 = 7001 with 1 remainder
7001 ÷ 2 = 3500 with 1 remainder
3500 ÷ 2 = 1750 with 0 remainder
1750 ÷ 2 = 875 with 0 remainder
875 ÷ 2 = 437 with 1 remainder
437 ÷ 2 = 218 with 1 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 DACC hexadecimal to binary:

DACC hexadecimal = 1101101011001100 binary

Hexadecimal to Binary Converter
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