74100 octal to binary

Here we will show you how to convert the octal number 74100 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 74100 from octal to binary are explained below.

Step 1)
Multiply the last digit in 74100 by 8⁰, multiply the second to last digit in 74100 by 8¹, multiply the third to last digit in 74100 by 8², multiply the fourth to last digit in 74100 by 8³, and so on, until all the digits are used:

0 × 8⁰ = 0
0 × 8¹ = 0
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 + 0 + 64 + 2048 + 28672 = 30784

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.

30784 ÷ 2 = 15392 with 0 remainder
15392 ÷ 2 = 7696 with 0 remainder
7696 ÷ 2 = 3848 with 0 remainder
3848 ÷ 2 = 1924 with 0 remainder
1924 ÷ 2 = 962 with 0 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 74100 octal to binary:

74100 octal = 111100001000000 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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