Question

convert the following decimal number (base 10) to binary (base 2):
39₁₀ = (base 2)
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question 5
score on last try: 1 of 1 pts. see details for more.
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convert the following octal number (base 8) to binary (base 2).
713₈ = 111001011 (base 2)
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question 6
convert the following binary number (base 2) to octal (base 8).
111110011111₂ = (base 8)
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Explanation:

Step1: Divide by 2 and record remainder

Divide \(39\) by \(2\): \(39\div2 = 19\) with remainder \(1\).

Step2: Continue dividing quotient by 2

\(19\div2=9\) with remainder \(1\).

Step3: Repeat the process

\(9\div2 = 4\) with remainder \(1\).
\(4\div2=2\) with remainder \(0\).
\(2\div2 = 1\) with remainder \(0\).
\(1\div2=0\) with remainder \(1\).

Step4: Read remainders from bottom - to - top

The remainders from bottom - to - top are \(100111\).

Answer:

\(100111\)