387B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 387B 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 387B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 387B by 16⁰, multiply the second to last digit in 387B by 16¹, multiply the third to last digit in 387B by 16², multiply the fourth to last digit in 387B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
7 × 16¹ = 112
8 × 16² = 2048
3 × 16³ = 12288

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 + 12288 = 14459

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.

14459 ÷ 2 = 7229 with 1 remainder
7229 ÷ 2 = 3614 with 1 remainder
3614 ÷ 2 = 1807 with 0 remainder
1807 ÷ 2 = 903 with 1 remainder
903 ÷ 2 = 451 with 1 remainder
451 ÷ 2 = 225 with 1 remainder
225 ÷ 2 = 112 with 1 remainder
112 ÷ 2 = 56 with 0 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 387B hexadecimal to binary:

387B hexadecimal = 11100001111011 binary

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