F878 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F878 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 F878 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F878 by 16⁰, multiply the second to last digit in F878 by 16¹, multiply the third to last digit in F878 by 16², multiply the fourth to last digit in F878 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
7 × 16¹ = 112
8 × 16² = 2048
F × 16³ = 61440

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:

8 + 112 + 2048 + 61440 = 63608

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.

63608 ÷ 2 = 31804 with 0 remainder
31804 ÷ 2 = 15902 with 0 remainder
15902 ÷ 2 = 7951 with 0 remainder
7951 ÷ 2 = 3975 with 1 remainder
3975 ÷ 2 = 1987 with 1 remainder
1987 ÷ 2 = 993 with 1 remainder
993 ÷ 2 = 496 with 1 remainder
496 ÷ 2 = 248 with 0 remainder
248 ÷ 2 = 124 with 0 remainder
124 ÷ 2 = 62 with 0 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 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 F878 hexadecimal to binary:

F878 hexadecimal = 1111100001111000 binary

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F879 hexadecimal to binary
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