1777 octal to hexadecimal

Here we will show you how to convert the octal number 1777 to a hexadecimal number. First note that the octal number system has 8 different digits (0 1 2 3 4 5 6 7) and the hexadecimal number system has 16 different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F).

The four steps used to convert 1777 from octal to hexadecimal are explained below.

Step 1)
Multiply the last digit in 1777 by 8⁰, multiply the second to last digit in 1777 by 8¹, multiply the third to last digit in 1777 by 8², multiply the fourth to last digit in 1777 by 8³, and so on, until all the digits are used:

7 × 8⁰ = 7
7 × 8¹ = 56
7 × 8² = 448
1 × 8³ = 512

Step 2)
Next, we add up all the products we got from Step 1, like this:

7 + 56 + 448 + 512 = 1023

Step 3)
Now we divide the sum from Step 2 by 16. Put the remainder aside. Then divide the whole part by 16 again, and put the remainder aside again. Keep doing this until the whole part is 0. (Also, replace remainders if need be: 10=A, 11=B, 12=C, 13=D, 14=E, and 15=F).

1023 ÷ 16 = 63 with F remainder
63 ÷ 16 = 3 with F remainder
3 ÷ 16 = 0 with 3 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 1777 octal to hexadecimal:

1777 octal = 3FF hexadecimal

Octal to Hexadecimal Converter
Here you can convert another octal number to hexadecimal. Remember, octal numbers only include numbers 0 through 7.

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