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Math  /  Math Statement

QuestionCalculate the following operations in the given bases: a. 31five ⋅3five 31_{\text {five }} \cdot 3_{\text {five }} b. 31five +3five 31_{\text {five }} + 3_{\text {five }} c. 51six ⋅23six 51_{\text {six }} \cdot 23_{\text {six }} d. 242five ÷4242_{\text {five }} \div 4 e. 10110two +10two 10110_{\text {two }} + 10_{\text {two }} f. 10011two ⋅100two 10011_{\text {two }} \cdot 100_{\text {two }}

Studdy Solution
Finally, convert the result back to base two.
76ten =1⋅6+⋅5+⋅4+1⋅3+1⋅+⋅1+⋅=100110two 76_{\text {ten }} =1 \cdot^6 + \cdot^5 + \cdot^4 +1 \cdot^3 +1 \cdot^ + \cdot^1 + \cdot^ =100110_{\text {two }}So, 10011two ⋅100two =100110two 10011_{\text {two }} \cdot100_{\text {two }} =100110_{\text {two }}.

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