Math

QuestionConvert the octal number 10 (base 8) to binary.

Studdy Solution

STEP 1

Assumptions1. The given number is in octal base (base8). . We need to convert it to binary base (base).

STEP 2

First, we need to understand that each octal digit can be represented by a-digit binary number. Here is the conversion tableOctalBinary0000100120100114100510161107111\begin{array}{|c|c|} \hline\text{Octal} & \text{Binary} \\ \hline0 &000 \\ 1 &001 \\ 2 &010 \\ &011 \\ 4 &100 \\ 5 &101 \\ 6 &110 \\ 7 &111 \\ \hline\end{array}

STEP 3

Now, we can convert each digit of the octal number to its binary equivalent. The octal number is10.The first digit is1, which corresponds to001 in binary. The second digit is0, which corresponds to000 in binary.

STEP 4

Combine these binary numbers in the same order to get the binary equivalent of the octal number.
Binaryequivalent=001000Binary\, equivalent =001\,000The binary equivalent of octal10 is001000.

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