
Here we will show you how to convert the binary number 100010 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 100010 from binary to octal are explained below.
Step 1)
Multiply the last digit in 100010 by 2⁰, multiply the second to last digit in 100010 by 2¹, multiply the third to last digit in 100010 by 2², multiply the fourth to last digit in 100010 by 2³, and so on, until all the digits are used:
0 × 2⁰ = 0
1 × 2¹ = 2
0 × 2² = 0
0 × 2³ = 0
0 × 2⁴ = 0
1 × 2⁵ = 32
Step 2)
Add up all the products we got from Step 1, like this:
0 + 2 + 0 + 0 + 0 + 32 = 34
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.
34 ÷ 8 = 4 with 2 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 100010 binary to octal:
100010 binary = 42 octal
Binary to Octal Converter
Here you can convert another binary number to octal. Remember, binary numbers only include digits 0 and 1.
100011 binary to octal
Go here for the next binary number on our list that we have converted to octal.
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