F77C hexadecimal to binary

Here we will show you how to convert the hexadecimal number F77C 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 F77C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F77C by 16⁰, multiply the second to last digit in F77C by 16¹, multiply the third to last digit in F77C by 16², multiply the fourth to last digit in F77C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
7 × 16¹ = 112
7 × 16² = 1792
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:

12 + 112 + 1792 + 61440 = 63356

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.

63356 ÷ 2 = 31678 with 0 remainder
31678 ÷ 2 = 15839 with 0 remainder
15839 ÷ 2 = 7919 with 1 remainder
7919 ÷ 2 = 3959 with 1 remainder
3959 ÷ 2 = 1979 with 1 remainder
1979 ÷ 2 = 989 with 1 remainder
989 ÷ 2 = 494 with 1 remainder
494 ÷ 2 = 247 with 0 remainder
247 ÷ 2 = 123 with 1 remainder
123 ÷ 2 = 61 with 1 remainder
61 ÷ 2 = 30 with 1 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 F77C hexadecimal to binary:

F77C hexadecimal = 1111011101111100 binary

Hexadecimal to Binary Converter
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