182B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 182B 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 182B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 182B by 16⁰, multiply the second to last digit in 182B by 16¹, multiply the third to last digit in 182B by 16², multiply the fourth to last digit in 182B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
2 × 16¹ = 32
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:

11 + 32 + 2048 + 4096 = 6187

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.

6187 ÷ 2 = 3093 with 1 remainder
3093 ÷ 2 = 1546 with 1 remainder
1546 ÷ 2 = 773 with 0 remainder
773 ÷ 2 = 386 with 1 remainder
386 ÷ 2 = 193 with 0 remainder
193 ÷ 2 = 96 with 1 remainder
96 ÷ 2 = 48 with 0 remainder
48 ÷ 2 = 24 with 0 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 182B hexadecimal to binary:

182B hexadecimal = 1100000101011 binary

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