What is the base 8 representation of the number 11100111(2) a) 231(8) b) 329(8) c) 347(8) d) 385(8)

Option C)347(8) is correct. Below is the explanation for changing the base 2 number to the base 8

Step-by-step explanation:

Given:

      11100111(2)

To find:

      Number with base 8.

Let's convert the given base 2 number to a base 10 number or an integer. Then convert it to a base 8 number.

11100111(2) = 1* +1* +1* + 0* +0* +1* +1* +1*

Simplify it

                 =128 +64+32 +0+0+4+1+1

                 =231

Now, change this integer 231 to a base 8 number ( I have attached a file for this)

We get an answer of 347(8). Option C is correct!

You can learn more:

link.

Remark

You could convert base two to base 10 and then convert base 10 to base 8. That's the long way. The procedure below is the short way.

Step One

Write the base 2 number in groups of 3 starting from the right and going left

11 100 111

Step Two

Convert the base 2 numbers in groups of 3 to base 8. The largest result will be a 7

11 = 2*1 + 1 = 2 + 1 = 3

100 = 1*2^2 = 4

111 = 1*2^2 + 1*2 + 1 = 7

Step Three

Read the answer going down.

347 is the answer

Answer

347(8) = C

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step-by-step explanation:

the answer is the third / last answer

step-by-step explanation: