DACB hexadecimal to binary

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

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

B × 16⁰ = 11
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:

11 + 192 + 2560 + 53248 = 56011

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.

56011 ÷ 2 = 28005 with 1 remainder
28005 ÷ 2 = 14002 with 1 remainder
14002 ÷ 2 = 7001 with 0 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 DACB hexadecimal to binary:

DACB hexadecimal = 1101101011001011 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

DACC hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.