74521 octal to binary

Here we will show you how to convert the octal number 74521 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 74521 from octal to binary are explained below.

Step 1)
Multiply the last digit in 74521 by 8⁰, multiply the second to last digit in 74521 by 8¹, multiply the third to last digit in 74521 by 8², multiply the fourth to last digit in 74521 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
2 × 8¹ = 16
5 × 8² = 320
4 × 8³ = 2048
7 × 8⁴ = 28672

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

1 + 16 + 320 + 2048 + 28672 = 31057

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.

31057 ÷ 2 = 15528 with 1 remainder
15528 ÷ 2 = 7764 with 0 remainder
7764 ÷ 2 = 3882 with 0 remainder
3882 ÷ 2 = 1941 with 0 remainder
1941 ÷ 2 = 970 with 1 remainder
970 ÷ 2 = 485 with 0 remainder
485 ÷ 2 = 242 with 1 remainder
242 ÷ 2 = 121 with 0 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 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 74521 octal to binary:

74521 octal = 111100101010001 binary

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

74522 octal to binary
Go here for the next octal number on our list that we have converted to binary.