74041 octal to binary

Here we will show you how to convert the octal number 74041 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 74041 from octal to binary are explained below.

Step 1)
Multiply the last digit in 74041 by 8⁰, multiply the second to last digit in 74041 by 8¹, multiply the third to last digit in 74041 by 8², multiply the fourth to last digit in 74041 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
4 × 8¹ = 32
0 × 8² = 0
4 × 8³ = 2048
7 × 8⁴ = 28672

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

1 + 32 + 0 + 2048 + 28672 = 30753

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.

30753 ÷ 2 = 15376 with 1 remainder
15376 ÷ 2 = 7688 with 0 remainder
7688 ÷ 2 = 3844 with 0 remainder
3844 ÷ 2 = 1922 with 0 remainder
1922 ÷ 2 = 961 with 0 remainder
961 ÷ 2 = 480 with 1 remainder
480 ÷ 2 = 240 with 0 remainder
240 ÷ 2 = 120 with 0 remainder
120 ÷ 2 = 60 with 0 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 74041 octal to binary:

74041 octal = 111100000100001 binary

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

74042 octal to binary
Go here for the next octal number on our list that we have converted to binary.