Question

question 11
convert binary 010101 to octal.
15₈
5₈
25₂
21₈

Explanation:

Step1: Group the binary digits

Starting from the right, group the binary number \(010101\) into groups of three. Since it has 6 digits, we can write it as \(010\) \(101\).

Step2: Convert each group to decimal

For the group \(010\): \(0\times2^2 + 1\times2^1+0\times2^0= 2\).
For the group \(101\): \(1\times2^2 + 0\times2^1+1\times2^0=4 + 0+ 1=5\).

Step3: Combine the decimal values

Combining the two decimal values \(2\) and \(5\) gives us the octal number \(25_8\).

Answer:

C. \(25_8\)