Assume that a and b are two integers in the -16 to 15 range. For each expression below, (1) write the minimum and maximum values achievable, (2) write the minimum number of bits needed for the result to be always overflow free, and (3) calculate the results using that number of bits for the case of a=14(= "01110") and b=-4 (= "11100"), showing both the decimal and binary values. a) a-2*b b) a*b c) a/b d) (a/b)*b e) (a*b)/b f) a rem b g) a rem (-b) h) a mod b i) -a mod b j) abs b k) -b 1) a**2

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
Chapter1: Introduction
Section: Chapter Questions
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Exercise 9.4. Arithmetic operators (1)
Assume that a and b are two integers in the -16 to 15 range. For each expression below,
(1) write the minimum and maximum values achievable, (2) write the minimum number of
bits needed for the result to be always overflow free, and (3) calculate the results using that
number of bits for the case of a=14(= "01110") and b=-4 (= "11100"), showing both the
decimal and binary values.
a) a-2*b
b) a*b
c) a/b
d) (a/b)*b
e) (a*b)/b
f) a rem b
g) a rem (-b)
h) a mod b
i) -a mod b
j) abs b
k) -b
1) a**2
Transcribed Image Text:Exercise 9.4. Arithmetic operators (1) Assume that a and b are two integers in the -16 to 15 range. For each expression below, (1) write the minimum and maximum values achievable, (2) write the minimum number of bits needed for the result to be always overflow free, and (3) calculate the results using that number of bits for the case of a=14(= "01110") and b=-4 (= "11100"), showing both the decimal and binary values. a) a-2*b b) a*b c) a/b d) (a/b)*b e) (a*b)/b f) a rem b g) a rem (-b) h) a mod b i) -a mod b j) abs b k) -b 1) a**2
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