74156 octal to binary

Here we will show you how to convert the octal number 74156 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 74156 from octal to binary are explained below.

Step 1)
Multiply the last digit in 74156 by 8⁰, multiply the second to last digit in 74156 by 8¹, multiply the third to last digit in 74156 by 8², multiply the fourth to last digit in 74156 by 8³, and so on, until all the digits are used:

6 × 8⁰ = 6
5 × 8¹ = 40
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:

6 + 40 + 64 + 2048 + 28672 = 30830

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.

30830 ÷ 2 = 15415 with 0 remainder
15415 ÷ 2 = 7707 with 1 remainder
7707 ÷ 2 = 3853 with 1 remainder
3853 ÷ 2 = 1926 with 1 remainder
1926 ÷ 2 = 963 with 0 remainder
963 ÷ 2 = 481 with 1 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 74156 octal to binary:

74156 octal = 111100001101110 binary

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

74157 octal to binary
Go here for the next octal number on our list that we have converted to binary.