57042 octal to binary

Here we will show you how to convert the octal number 57042 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 57042 from octal to binary are explained below.

Step 1)
Multiply the last digit in 57042 by 8⁰, multiply the second to last digit in 57042 by 8¹, multiply the third to last digit in 57042 by 8², multiply the fourth to last digit in 57042 by 8³, and so on, until all the digits are used:

2 × 8⁰ = 2
4 × 8¹ = 32
0 × 8² = 0
7 × 8³ = 3584
5 × 8⁴ = 20480

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

2 + 32 + 0 + 3584 + 20480 = 24098

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.

24098 ÷ 2 = 12049 with 0 remainder
12049 ÷ 2 = 6024 with 1 remainder
6024 ÷ 2 = 3012 with 0 remainder
3012 ÷ 2 = 1506 with 0 remainder
1506 ÷ 2 = 753 with 0 remainder
753 ÷ 2 = 376 with 1 remainder
376 ÷ 2 = 188 with 0 remainder
188 ÷ 2 = 94 with 0 remainder
94 ÷ 2 = 47 with 0 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 57042 octal to binary:

57042 octal = 101111000100010 binary

Octal to Binary Converter
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57043 octal to binary
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