1671 octal to binary

Here we will show you how to convert the octal number 1671 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 1671 from octal to binary are explained below.

Step 1)
Multiply the last digit in 1671 by 8⁰, multiply the second to last digit in 1671 by 8¹, multiply the third to last digit in 1671 by 8², multiply the fourth to last digit in 1671 by 8³, and so on, until all the digits are used:

1 × 8⁰ = 1
7 × 8¹ = 56
6 × 8² = 384
1 × 8³ = 512

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

1 + 56 + 384 + 512 = 953

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.

953 ÷ 2 = 476 with 1 remainder
476 ÷ 2 = 238 with 0 remainder
238 ÷ 2 = 119 with 0 remainder
119 ÷ 2 = 59 with 1 remainder
59 ÷ 2 = 29 with 1 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 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 1671 octal to binary:

1671 octal = 1110111001 binary

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

1672 octal to binary
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