77EF hexadecimal to octal

Here we will show you how to convert the hexadecimal number 77EF to an octal 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 octal number system has only eight different digits (0 1 2 3 4 5 6 7).

The four steps used to convert 77EF from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 77EF by 16⁰, multiply the second to last digit in 77EF by 16¹, multiply the third to last digit in 77EF by 16², multiply the fourth to last digit in 77EF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
E × 16¹ = 224
7 × 16² = 1792
7 × 16³ = 28672

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:

15 + 224 + 1792 + 28672 = 30703

Step 3)
Now we divide the sum from Step 2 by 8. Put the remainder aside. Then divide the whole part by 8 again, and put the remainder aside again. Keep doing this until the whole part is 0.

30703 ÷ 8 = 3837 with 7 remainder
3837 ÷ 8 = 479 with 5 remainder
479 ÷ 8 = 59 with 7 remainder
59 ÷ 8 = 7 with 3 remainder
7 ÷ 8 = 0 with 7 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 77EF hexadecimal to octal:

77EF hexadecimal = 73757 octal

Hexadecimal to Octal Converter
Here you can convert another hexadecimal number to octal.

77F0 hexadecimal to octal
Go here for the next hexadecimal number on our list that we have converted to octal.