74160 octal to binary

Here we will show you how to convert the octal number 74160 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 74160 from octal to binary are explained below.

Step 1)
Multiply the last digit in 74160 by 8⁰, multiply the second to last digit in 74160 by 8¹, multiply the third to last digit in 74160 by 8², multiply the fourth to last digit in 74160 by 8³, and so on, until all the digits are used:

0 × 8⁰ = 0
6 × 8¹ = 48
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:

0 + 48 + 64 + 2048 + 28672 = 30832

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.

30832 ÷ 2 = 15416 with 0 remainder
15416 ÷ 2 = 7708 with 0 remainder
7708 ÷ 2 = 3854 with 0 remainder
3854 ÷ 2 = 1927 with 0 remainder
1927 ÷ 2 = 963 with 1 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 74160 octal to binary:

74160 octal = 111100001110000 binary

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

74161 octal to binary
Go here for the next octal number on our list that we have converted to binary.