Find (101\(_2\))\(^2\), expressing the answer in base 2.
Answer Details
To find (1012)2, we need to square the binary number 1012. We can use the standard multiplication method taught in primary school, but we only need to remember two things: 1) 0 x anything = 0, and 2) 1 x anything = the same anything. Here's the calculation:
101 (this is 1012)
x 101 (this is also 1012)
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101
101
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11001 (this is the result of (1012)2 in binary)