100101 binary to octal

Here we will show you how to convert the binary number 100101 to an octal number. First note that the binary number system only has two different digits (0 & 1) and the octal number system has 8 different digits (0 1 2 3 4 5 6 7).

The four steps used to convert 100101 from binary to octal are explained below.

Step 1)
Multiply the last digit in 100101 by 2⁰, multiply the second to last digit in 100101 by 2¹, multiply the third to last digit in 100101 by 2², multiply the fourth to last digit in 100101 by 2³, and so on, until all the digits are used:

1 × 2⁰ = 1
0 × 2¹ = 0
1 × 2² = 4
0 × 2³ = 0
0 × 2⁴ = 0
1 × 2⁵ = 32

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

1 + 0 + 4 + 0 + 0 + 32 = 37

Step 3)
Divide the sum from Step 2 by 8. Put the remainder aside. Then divide the whole part by 8 again, and put the remainder aside again. Keep doing this until the whole part is 0.

37 ÷ 8 = 4 with 5 remainder
4 ÷ 8 = 0 with 4 remainder

Step 4)
Take the remainders from Step 3 and put them together in reverse order to get the answer to 100101 binary to octal:

100101 binary = 45 octal

Binary to Octal Converter
Here you can convert another binary number to octal. Remember, binary numbers only include digits 0 and 1.

100110 binary to octal
Go here for the next binary number on our list that we have converted to octal.