1BA9 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1BA9 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 1BA9 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1BA9 by 16⁰, multiply the second to last digit in 1BA9 by 16¹, multiply the third to last digit in 1BA9 by 16², multiply the fourth to last digit in 1BA9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
A × 16¹ = 160
B × 16² = 2816
1 × 16³ = 4096

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:

9 + 160 + 2816 + 4096 = 7081

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.

7081 ÷ 2 = 3540 with 1 remainder
3540 ÷ 2 = 1770 with 0 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 1BA9 hexadecimal to binary:

1BA9 hexadecimal = 1101110101001 binary

Hexadecimal to Binary Converter
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1BAA hexadecimal to binary
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