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Numeral System 1

Numeral System 1

Q Question 1 0.4 / 0.4 pts Consider the division: 2020÷17=118R14. Fill the blanks with the names of the numbers in the division. • 2020 is called the dividend ; • 17 is called the ["", "", "", "", ""] ; • 118 is called the ["", "", "", "", ""] ; • 14 is called the ["", "", "", ""] . Question 1 0.4 / 0.4 pts Consider the division: 2020÷17=118R14. Fill the blanks with the names of the numbers in the division. • 2020 is called the dividend ; • 17 is called the ["", "", "", "", ""] ; • 118 is called the ["", "", "", "", ""] ; • 14 is called the ["", "", "", ""] . Question 3 1.2 / 1.2 pts Complete the positional notation for each binary representation description. Note that every four positions (starting from the far-right position) are grouped in one column. • Fill ONLY the necessary positions • Fill NA in unnecessary columns Description \ Position 15 ~ 12 11 ~ 8 7 ~ 4 3 ~ 0 i. 1010...0two, 101 followed by 0s (total 15 bits) ii. 10...010two, 1 followed by 0s, then by 10 (total 8 bits) iii. 1 at odd positions and 0 at even positions (total 9 bits) Question 4 1.2 / 1.6 pts Complete the positional notation for 111two and calculate its decimal equivalent. • For the digit row, fill the corresponding digit at a position. No need to use subscript. • For the value row, fill the value of the digit in the format of d * b ^ i. o d * b ^ i is equivalent to d × bi. o You may type the answer without inserting white space between characters. ? Both d*b^i and d * b ^ i will be acceptable. • Fill NA in the unnecessary positions and columns. Position Digit (two) Value 111two = (fill the final decimal equivalent) Question 5 0.8 / 1.6 pts Complete the positional notation for 11011two and calculate its decimal equivalent. • For the digit row, fill the corresponding digit at a position. No need to use subscript. • For the value row, fill the value of the digit in the format of d * b ^ i. o d * b ^ i is equivalent to d × bi. o You may type the answer without inserting white space between characters. ? Both d*b^i and d * b ^ i will be acceptable. • Fill NA in the unnecessary positions and columns. Position Digit (two) Value 11011two = (fill the final decimal equivalent)

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Answer 1: Correct! dividend Answer 2: Correct! divisor Answer 3: Correct! quotient Answer 4: Correct! remainder