76002 octal to binary

Here we will show you how to convert the octal number 76002 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 76002 from octal to binary are explained below.

Step 1)
Multiply the last digit in 76002 by 8⁰, multiply the second to last digit in 76002 by 8¹, multiply the third to last digit in 76002 by 8², multiply the fourth to last digit in 76002 by 8³, and so on, until all the digits are used:

2 × 8⁰ = 2
0 × 8¹ = 0
0 × 8² = 0
6 × 8³ = 3072
7 × 8⁴ = 28672

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

2 + 0 + 0 + 3072 + 28672 = 31746

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.

31746 ÷ 2 = 15873 with 0 remainder
15873 ÷ 2 = 7936 with 1 remainder
7936 ÷ 2 = 3968 with 0 remainder
3968 ÷ 2 = 1984 with 0 remainder
1984 ÷ 2 = 992 with 0 remainder
992 ÷ 2 = 496 with 0 remainder
496 ÷ 2 = 248 with 0 remainder
248 ÷ 2 = 124 with 0 remainder
124 ÷ 2 = 62 with 0 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 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 76002 octal to binary:

76002 octal = 111110000000010 binary

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

76003 octal to binary
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