F77A hexadecimal to binary

Here we will show you how to convert the hexadecimal number F77A 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 F77A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F77A by 16⁰, multiply the second to last digit in F77A by 16¹, multiply the third to last digit in F77A by 16², multiply the fourth to last digit in F77A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
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:

10 + 112 + 1792 + 61440 = 63354

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.

63354 ÷ 2 = 31677 with 0 remainder
31677 ÷ 2 = 15838 with 1 remainder
15838 ÷ 2 = 7919 with 0 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 F77A hexadecimal to binary:

F77A hexadecimal = 1111011101111010 binary

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F77B hexadecimal to binary
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