74225 octal to binary

Here we will show you how to convert the octal number 74225 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 74225 from octal to binary are explained below.

Step 1)
Multiply the last digit in 74225 by 8⁰, multiply the second to last digit in 74225 by 8¹, multiply the third to last digit in 74225 by 8², multiply the fourth to last digit in 74225 by 8³, and so on, until all the digits are used:

5 × 8⁰ = 5
2 × 8¹ = 16
2 × 8² = 128
4 × 8³ = 2048
7 × 8⁴ = 28672

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

5 + 16 + 128 + 2048 + 28672 = 30869

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.

30869 ÷ 2 = 15434 with 1 remainder
15434 ÷ 2 = 7717 with 0 remainder
7717 ÷ 2 = 3858 with 1 remainder
3858 ÷ 2 = 1929 with 0 remainder
1929 ÷ 2 = 964 with 1 remainder
964 ÷ 2 = 482 with 0 remainder
482 ÷ 2 = 241 with 0 remainder
241 ÷ 2 = 120 with 1 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 74225 octal to binary:

74225 octal = 111100010010101 binary

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

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