8CBF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8CBF 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 8CBF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8CBF by 16⁰, multiply the second to last digit in 8CBF by 16¹, multiply the third to last digit in 8CBF by 16², multiply the fourth to last digit in 8CBF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
B × 16¹ = 176
C × 16² = 3072
8 × 16³ = 32768

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:

15 + 176 + 3072 + 32768 = 36031

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.

36031 ÷ 2 = 18015 with 1 remainder
18015 ÷ 2 = 9007 with 1 remainder
9007 ÷ 2 = 4503 with 1 remainder
4503 ÷ 2 = 2251 with 1 remainder
2251 ÷ 2 = 1125 with 1 remainder
1125 ÷ 2 = 562 with 1 remainder
562 ÷ 2 = 281 with 0 remainder
281 ÷ 2 = 140 with 1 remainder
140 ÷ 2 = 70 with 0 remainder
70 ÷ 2 = 35 with 0 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 8CBF hexadecimal to binary:

8CBF hexadecimal = 1000110010111111 binary

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