
Here we will show you how to convert the octal number 40046 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 40046 from octal to binary are explained below.
Step 1)
Multiply the last digit in 40046 by 8⁰, multiply the second to last digit in 40046 by 8¹, multiply the third to last digit in 40046 by 8², multiply the fourth to last digit in 40046 by 8³, and so on, until all the digits are used:
6 × 8⁰ = 6
4 × 8¹ = 32
0 × 8² = 0
0 × 8³ = 0
4 × 8⁴ = 16384
Step 2)
Next, we add up all the products we got from Step 1, like this:
6 + 32 + 0 + 0 + 16384 = 16422
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.
16422 ÷ 2 = 8211 with 0 remainder
8211 ÷ 2 = 4105 with 1 remainder
4105 ÷ 2 = 2052 with 1 remainder
2052 ÷ 2 = 1026 with 0 remainder
1026 ÷ 2 = 513 with 0 remainder
513 ÷ 2 = 256 with 1 remainder
256 ÷ 2 = 128 with 0 remainder
128 ÷ 2 = 64 with 0 remainder
64 ÷ 2 = 32 with 0 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 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 40046 octal to binary:
40046 octal = 100000000100110 binary
Octal to Binary Converter
Here you can convert another octal number to binary. Remember, octal numbers only include digits 0 through 7.
40047 octal to binary
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