4. (a) (i) What is the smallest positive number that can be written in normalised scientific notation with mantissa of 5 digits and exponent between -250 and 250 inclusive? (ii) What is the biggest positive number that can be written in normalised scientific notation with mantissa of 5 digits and exponent between -250 and 250 inclusive? (b) Carry out the following calculations and express the answer in normalized scientific notation with a 4 digit mantissa and exponent between -250 and 250 inclusive. (i) (0.2021 x 1020) × (0.8129 x 10-121) (iii) (0.2021 x 10220) + (0.1981 × 10217) (iv) (0.2021 x 10220) – (0.1981 × (ii) (0.2021 x 10220) ÷ (0.8129 x 10-121) < 10217)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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4. (a) (i) What is the smallest positive number that can be written in normalised scientific notation with mantissa of
5 digits and exponent between 250 and 250 inclusive?
(ii) What is the biggest positive number that can be written in normalised scientific notation with mantissa of
5 digits and exponent between 250 and 250 inclusive?
(b) Carry out the following calculations and express the answer in normalized scientific notation with a 4 digit
mantissa and exponent between -250 and 250 inclusive.
(i) (0.2021 x 10220) x (0.8129 x 10-121)
(iii) (0.2021 x 1020) + (0.1981 x 10²17) (iv) (0.2021 x 10220) – (0.1981 x 10217)
(ii) (0.2021 x 10220) ÷ (0.8129 x 10-121)
Transcribed Image Text:4. (a) (i) What is the smallest positive number that can be written in normalised scientific notation with mantissa of 5 digits and exponent between 250 and 250 inclusive? (ii) What is the biggest positive number that can be written in normalised scientific notation with mantissa of 5 digits and exponent between 250 and 250 inclusive? (b) Carry out the following calculations and express the answer in normalized scientific notation with a 4 digit mantissa and exponent between -250 and 250 inclusive. (i) (0.2021 x 10220) x (0.8129 x 10-121) (iii) (0.2021 x 1020) + (0.1981 x 10²17) (iv) (0.2021 x 10220) – (0.1981 x 10217) (ii) (0.2021 x 10220) ÷ (0.8129 x 10-121)
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