Floating point arithmetic

Question 1

What is the main difference between integer and floating point arithmetic?
a) Integer arithmetic does not allow negative values
b) Floating point arithmetic includes decimal precision
c) Integer arithmetic uses more memory
d) Floating point arithmetic uses only base-10 numbers

Answer 1

b) Floating point arithmetic includes decimal precision

Question 2

What term refers to the degree of correctness in floating point operations?
a) Precision
b) Clarity
c) Accuracy
d) Scope

Answer 2

c) Accuracy

Question 3

What is a key limitation of floating point arithmetic in computer systems?
a) It has unlimited precision
b) It only supports whole numbers
c) It introduces approximation due to binary representation
d) It cannot represent negative numbers

Answer 3

c) It introduces approximation due to binary representation

Question 4

What is the binary representation of the decimal number 0.1?
a) 0.1
b) 0.001
c) 0.000110011001100110011001100110011
d) 0.100000001

Answer 4

c) 0.000110011001100110011001100110011

Question 5

What causes decimal fractions like 0.1 and 0.2 to be approximations in binary?
a) Binary can only handle fractions with powers of 10
b) Binary lacks sufficient precision
c) Prime factors of decimal and binary systems differ
d) Binary numbers cannot handle fractions at all

Answer 5

c) Prime factors of decimal and binary systems differ

Question 6

Why do 0.1f and 0.1d produce different results in Java?
a) They use different rounding methods
b) They are represented with different numbers of bits
c) They use different base systems
d) They are calculated with integer precision

Answer 6

b) They are represented with different numbers of bits

Question 7

Which Java type allows the most precision for floating point numbers?
a) int
b) double
c) float
d) long

Answer 7

b) double

Question 8

What is the purpose of the BigDecimal class in Java?
a) To handle complex numbers
b) To perform precise decimal calculations
c) To save memory
d) To simplify unit tests

Answer 8

b) To perform precise decimal calculations

Question 9

What Java method rounds floating point numbers to the closest neighbor?
a) Math.round()
b) RoundingMode.HALF_UP
c) BigDecimal.add()
d) RoundingMode.CEILING

Answer 9

b) RoundingMode.HALF_UP

Question 10

What is the purpose of the RoundingMode class in Java?
a) It converts integers to floats
b) It controls rounding behavior for BigDecimal
c) It increases float precision
d) It calculates square roots

Answer 10

b) It controls rounding behavior for BigDecimal

Question 11

What is the default rounding mode for BigDecimal in Java?
a) UP
b) DOWN
c) HALF_UP
d) FLOOR

Answer 11

c) HALF_UP

Question 12

What does the Java RoundingMode.CEILING setting do?
a) Rounds toward zero
b) Rounds toward positive infinity
c) Rounds toward negative infinity
d) Does not round

Answer 12

b) Rounds toward positive infinity

Question 13

What does the RoundingMode.FLOOR setting do?
a) Rounds toward positive infinity
b) Rounds toward zero
c) Rounds toward negative infinity
d) Does not round

Answer 13

c) Rounds toward negative infinity

Question 14

What is an advantage of using BigDecimal for financial calculations?
a) It is faster than double
b) It avoids floating point approximation errors
c) It uses less memory
d) It automatically formats currency

Answer 14

b) It avoids floating point approximation errors

Question 15

What Java method is used to add BigDecimal numbers?
a) BigDecimal.add()
b) BigDecimal.plus()
c) BigDecimal.sum()
d) Math.addExact()

Answer 15

a) BigDecimal.add()

Question 16

What type of result does Math.pow() return?
a) int
b) double
c) float
d) BigDecimal

Answer 16

b) double

Question 17

How can we show the result of a division with only three decimal points in Java?
a) Use println with decimals
b) Use printf with %1.3f
c) Use DecimalFormat.setScale()
d) Use format() without decimals

Answer 17

b) Use printf with %1.3f

Question 18

What does %f represent in a printf statement in Java?
a) A decimal integer variable
b) A floating point variable
c) A string variable
d) A boolean variable

Answer 18

b) A floating point variable

Question 19

Which formatting option in printf creates a new line?
a) %b
b) %d
c) %n
d) %t

Answer 19

c) %n

Question 20

In printf, what does %s represent?
a) A string variable
b) A floating point variable
c) A boolean variable
d) A date/time variable

Answer 20

a) A string variable

Question 21

Which placeholder in printf is used to format Boolean variables?
a) %f
b) %b
c) %c
d) %d

Answer 21

b) %b

Question 22

What is a benefit of using printf over println in formatting output?
a) printf is more accurate
b) printf allows custom precision for floating points
c) printf can only print integers
d) printf does not need a newline character

Answer 22

b) printf allows custom precision for floating points

Question 23

Which class in Java allows custom formatting for floating point values?
a) DecimalFormat
b) BigDecimal
c) StringFormat
d) FloatFormat

Answer 23

a) DecimalFormat

Question 24

What does DecimalFormat(“#,###.###”) do in Java?
a) Adds thousand separators and restricts to three decimal places
b) Rounds to the nearest integer
c) Formats as a percentage
d) Adds a dollar sign to the output

Answer 24

a) Adds thousand separators and restricts to three decimal places

Question 25

Which method is used in Java to calculate the square root of a number?
a) Math.sqrt()
b) Math.square()
c) Math.cbrt()
d) Math.pow()

Answer 25

a) Math.sqrt()

Question 26

What is the result of calling Math.cbrt(27) in Java?
a) 3
b) 9
c) 4
d) 27

Answer 26

a) 3

Question 27

What does Math.abs(-5.7) return?
a) -5.7
b) 0
c) 5.7
d) -6

Answer 27

c) 5.7

Question 28

What will ‘System.out.println(0.1f == 0.1d)’ print in Java?
a) true
b) false
c) 0.1
d) 0.1f

Answer 28

b) false

Question 29

What will ‘System.out.printf("%1.1f", 3.456)’ print?
a) 3.5
b) 3.4
c) 3.46
d) 3.5

Answer 29

b) 3.5

Question 30

In floating point arithmetic, why is 0.1 not exactly represented in binary?
a) It has a prime factor of 3
b) It is a non-terminating fraction in binary
c) It has a factor of 7
d) It only uses base-10

Answer 30

b) It is a non-terminating fraction in binary

Question 31

What does ‘System.out.printf("%1.3f", 5.234567)’ display?
a) 5.23
b) 5.235
c) 5.2
d) 5.24

Answer 31

b) 5.235

Question 32

What does Math.pow(5, 2) calculate?
a) 25
b) 10
c) 5
d) 7

Answer 32

a) 25

Question 33

What is the effect of using Math.abs() on a negative number?
a) It squares the number
b) It makes the number positive
c) It doubles the number
d) It subtracts 1

Answer 33

b) It makes the number positive

Question 34

What does RoundingMode.HALF_DOWN do?
a) Rounds toward positive infinity
b) Rounds to the closest neighbor; rounds down if in between
c) Rounds toward zero
d) Rounds toward negative infinity

Answer 34

b) Rounds to the closest neighbor; rounds down if in between

Question 35

What type does Math.cbrt() return?
a) int
b) double
c) float
d) BigDecimal

Answer 35

b) double

Question 36

What is the result of calling ‘System.out.printf("%1.1f", 7.89)’?
a) 7.9
b) 7.8
c) 8.0
d) 7.89

Answer 36

a) 7.9

Question 37

What method would you use to calculate 5 raised to the power of 3.1 in Java?
a) Math.sqrt()
b) Math.pow()
c) Math.exp()
d) Math.cbrt()

Answer 37

b) Math.pow()