187B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 187B 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 187B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 187B by 16⁰, multiply the second to last digit in 187B by 16¹, multiply the third to last digit in 187B by 16², multiply the fourth to last digit in 187B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
7 × 16¹ = 112
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 + 112 + 2048 + 4096 = 6267

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.

6267 ÷ 2 = 3133 with 1 remainder
3133 ÷ 2 = 1566 with 1 remainder
1566 ÷ 2 = 783 with 0 remainder
783 ÷ 2 = 391 with 1 remainder
391 ÷ 2 = 195 with 1 remainder
195 ÷ 2 = 97 with 1 remainder
97 ÷ 2 = 48 with 1 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 187B hexadecimal to binary:

187B hexadecimal = 1100001111011 binary

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