7772 octal to binary

Here we will show you how to convert the octal number 7772 to a binary number. First note that the octal number system has eight different digits (0 1 2 3 4 5 6 7) and the binary number system has only two different digits (0 and 1).

The four steps used to convert 7772 from octal to binary are explained below.

Step 1)
Multiply the last digit in 7772 by 8⁰, multiply the second to last digit in 7772 by 8¹, multiply the third to last digit in 7772 by 8², multiply the fourth to last digit in 7772 by 8³, and so on, until all the digits are used:

2 × 8⁰ = 2
7 × 8¹ = 56
7 × 8² = 448
7 × 8³ = 3584

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

2 + 56 + 448 + 3584 = 4090

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.

4090 ÷ 2 = 2045 with 0 remainder
2045 ÷ 2 = 1022 with 1 remainder
1022 ÷ 2 = 511 with 0 remainder
511 ÷ 2 = 255 with 1 remainder
255 ÷ 2 = 127 with 1 remainder
127 ÷ 2 = 63 with 1 remainder
63 ÷ 2 = 31 with 1 remainder
31 ÷ 2 = 15 with 1 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 7772 octal to binary:

7772 octal = 111111111010 binary

Octal to Binary Converter
Here you can convert another octal number to binary. Remember, octal numbers only include digits 0 through 7.

7773 octal to binary
Go here for the next octal number on our list that we have converted to binary.