Question

question 14
convert octal 107 to decimal.
97₁₀
71₁₀
77₁₀
101₁₀

Explanation:

Step1: Multiply each digit by \(8^n\)

The octal number \(107\) can be written as \((1\times8^{2})+(0\times8^{1})+(7\times8^{0})\).

Step2: Calculate each term

• For \(1\times8^{2}\): \(1\times64 = 64\)
• For \(0\times8^{1}\): \(0\times8 = 0\)
• For \(7\times8^{0}\): \(7\times1 = 7\)

Step3: Sum the terms

\(64 + 0+7=71\)

Answer:

\(71_{10}\)