18BA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 18BA 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 18BA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 18BA by 16⁰, multiply the second to last digit in 18BA by 16¹, multiply the third to last digit in 18BA by 16², multiply the fourth to last digit in 18BA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
B × 16¹ = 176
8 × 16² = 2048
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:

10 + 176 + 2048 + 4096 = 6330

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.

6330 ÷ 2 = 3165 with 0 remainder
3165 ÷ 2 = 1582 with 1 remainder
1582 ÷ 2 = 791 with 0 remainder
791 ÷ 2 = 395 with 1 remainder
395 ÷ 2 = 197 with 1 remainder
197 ÷ 2 = 98 with 1 remainder
98 ÷ 2 = 49 with 0 remainder
49 ÷ 2 = 24 with 1 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 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 18BA hexadecimal to binary:

18BA hexadecimal = 1100010111010 binary

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18BB hexadecimal to binary
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