1760 octal to binary

Here we will show you how to convert the octal number 1760 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 1760 from octal to binary are explained below.

Step 1)
Multiply the last digit in 1760 by 8⁰, multiply the second to last digit in 1760 by 8¹, multiply the third to last digit in 1760 by 8², multiply the fourth to last digit in 1760 by 8³, and so on, until all the digits are used:

0 × 8⁰ = 0
6 × 8¹ = 48
7 × 8² = 448
1 × 8³ = 512

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

0 + 48 + 448 + 512 = 1008

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.

1008 ÷ 2 = 504 with 0 remainder
504 ÷ 2 = 252 with 0 remainder
252 ÷ 2 = 126 with 0 remainder
126 ÷ 2 = 63 with 0 remainder
63 ÷ 2 = 31 with 1 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 1760 octal to binary:

1760 octal = 1111110000 binary

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

1761 octal to binary
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