188A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 188A 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 188A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 188A by 16⁰, multiply the second to last digit in 188A by 16¹, multiply the third to last digit in 188A by 16², multiply the fourth to last digit in 188A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
8 × 16¹ = 128
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 + 128 + 2048 + 4096 = 6282

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.

6282 ÷ 2 = 3141 with 0 remainder
3141 ÷ 2 = 1570 with 1 remainder
1570 ÷ 2 = 785 with 0 remainder
785 ÷ 2 = 392 with 1 remainder
392 ÷ 2 = 196 with 0 remainder
196 ÷ 2 = 98 with 0 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 188A hexadecimal to binary:

188A hexadecimal = 1100010001010 binary

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

188B hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.