9FCB hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9FCB 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 9FCB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9FCB by 16⁰, multiply the second to last digit in 9FCB by 16¹, multiply the third to last digit in 9FCB by 16², multiply the fourth to last digit in 9FCB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
C × 16¹ = 192
F × 16² = 3840
9 × 16³ = 36864

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 + 192 + 3840 + 36864 = 40907

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.

40907 ÷ 2 = 20453 with 1 remainder
20453 ÷ 2 = 10226 with 1 remainder
10226 ÷ 2 = 5113 with 0 remainder
5113 ÷ 2 = 2556 with 1 remainder
2556 ÷ 2 = 1278 with 0 remainder
1278 ÷ 2 = 639 with 0 remainder
639 ÷ 2 = 319 with 1 remainder
319 ÷ 2 = 159 with 1 remainder
159 ÷ 2 = 79 with 1 remainder
79 ÷ 2 = 39 with 1 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 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 9FCB hexadecimal to binary:

9FCB hexadecimal = 1001111111001011 binary

Hexadecimal to Binary Converter
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