15772 octal to binary

Here we will show you how to convert the octal number 15772 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 15772 from octal to binary are explained below.

Step 1)
Multiply the last digit in 15772 by 8⁰, multiply the second to last digit in 15772 by 8¹, multiply the third to last digit in 15772 by 8², multiply the fourth to last digit in 15772 by 8³, and so on, until all the digits are used:

2 × 8⁰ = 2
7 × 8¹ = 56
7 × 8² = 448
5 × 8³ = 2560
1 × 8⁴ = 4096

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

2 + 56 + 448 + 2560 + 4096 = 7162

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.

7162 ÷ 2 = 3581 with 0 remainder
3581 ÷ 2 = 1790 with 1 remainder
1790 ÷ 2 = 895 with 0 remainder
895 ÷ 2 = 447 with 1 remainder
447 ÷ 2 = 223 with 1 remainder
223 ÷ 2 = 111 with 1 remainder
111 ÷ 2 = 55 with 1 remainder
55 ÷ 2 = 27 with 1 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 15772 octal to binary:

15772 octal = 1101111111010 binary

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

15773 octal to binary
Go here for the next octal number on our list that we have converted to binary.