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Answer:
The decimal value of 101₂² base 2 = 25 base 10
Explanation:
The number 101₂² in decimal value is found as follows;
101₂ × 101₂ = 101₂ + 0₂ + 10100₂
We note that in 101 + 10100 the resultant 2 in the hundred position will have to be converted to a zero while carrying over 1 to the thousand position to give;
101₂ + 0₂ + 10100₂ = 11001₂
Therefore;
101₂² = 11001₂
We now convert the result of the square of the base 2 number, 101², which is 11001₂ to base 10 as follows;
Therefore converting 11001₂ to base 10 gives;
11001₂= 1 × 2⁴ + 1 × 2³ + 0 × 2² + 0 × 2 ¹ + 1 × 2⁰
Which gives;
16 + 8 + 0 + 0 + 1 = 25₁₀.
Technological advancements during the industrial age provided Americans with option B) More leisure times.
<h3>What were some technological advancements during the age of industry?</h3>
The growth in productivity is one that started with a little technical devices, such as the spinning jenny, spinning mule, and others.
Note that Technological advancements during the industrial age provided Americans with option B) More leisure times as machines does the work.
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