46001 octal to binary

Here we will show you how to convert the octal number 46001 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 46001 from octal to binary are explained below.

Step 1)
Multiply the last digit in 46001 by 8⁰, multiply the second to last digit in 46001 by 8¹, multiply the third to last digit in 46001 by 8², multiply the fourth to last digit in 46001 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
0 × 8¹ = 0
0 × 8² = 0
6 × 8³ = 3072
4 × 8⁴ = 16384

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

1 + 0 + 0 + 3072 + 16384 = 19457

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.

19457 ÷ 2 = 9728 with 1 remainder
9728 ÷ 2 = 4864 with 0 remainder
4864 ÷ 2 = 2432 with 0 remainder
2432 ÷ 2 = 1216 with 0 remainder
1216 ÷ 2 = 608 with 0 remainder
608 ÷ 2 = 304 with 0 remainder
304 ÷ 2 = 152 with 0 remainder
152 ÷ 2 = 76 with 0 remainder
76 ÷ 2 = 38 with 0 remainder
38 ÷ 2 = 19 with 0 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 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 46001 octal to binary:

46001 octal = 100110000000001 binary

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

46002 octal to binary
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