74131 octal to binary

Here we will show you how to convert the octal number 74131 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 74131 from octal to binary are explained below.

Step 1)
Multiply the last digit in 74131 by 8⁰, multiply the second to last digit in 74131 by 8¹, multiply the third to last digit in 74131 by 8², multiply the fourth to last digit in 74131 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
3 × 8¹ = 24
1 × 8² = 64
4 × 8³ = 2048
7 × 8⁴ = 28672

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

1 + 24 + 64 + 2048 + 28672 = 30809

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.

30809 ÷ 2 = 15404 with 1 remainder
15404 ÷ 2 = 7702 with 0 remainder
7702 ÷ 2 = 3851 with 0 remainder
3851 ÷ 2 = 1925 with 1 remainder
1925 ÷ 2 = 962 with 1 remainder
962 ÷ 2 = 481 with 0 remainder
481 ÷ 2 = 240 with 1 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 74131 octal to binary:

74131 octal = 111100001011001 binary

Octal to Binary Converter
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74132 octal to binary
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