F278 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F278 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 F278 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F278 by 16⁰, multiply the second to last digit in F278 by 16¹, multiply the third to last digit in F278 by 16², multiply the fourth to last digit in F278 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
7 × 16¹ = 112
2 × 16² = 512
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 + 512 + 61440 = 62072

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.

62072 ÷ 2 = 31036 with 0 remainder
31036 ÷ 2 = 15518 with 0 remainder
15518 ÷ 2 = 7759 with 0 remainder
7759 ÷ 2 = 3879 with 1 remainder
3879 ÷ 2 = 1939 with 1 remainder
1939 ÷ 2 = 969 with 1 remainder
969 ÷ 2 = 484 with 1 remainder
484 ÷ 2 = 242 with 0 remainder
242 ÷ 2 = 121 with 0 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 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 F278 hexadecimal to binary:

F278 hexadecimal = 1111001001111000 binary

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F279 hexadecimal to binary
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