1. The smallest positive single precision floating point number is: a) 2-150 b) 2-149 c) 2-45 d) 2-23

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For all of these questions, "floating point" will refer to IEEE standard representation.
1. The smallest positive single precision floating point number is:
a) 2-150
b) 2-149
c) 2-45
d) 2-23
2. The largest single precision floating point number is approximately:
a) 1023
b)1038
c)10128
d)10300
3. Approximately how many significant digits are contained in double precision floating
point?
a) 7
b) 15
c) 24
4. The single precision floating point 0 11111111 00000000000000000000000
d) 53
represents: a) 0
b) infinity
c) not a number
5. Double precision floating point represents twice as many numbers as single precision
floating point.
a) TRUE
b) FALSE
6.To hardwire the sign bit for Floating Point Multiplication / Division:
a) AND the sign bits of both operands
b) use the sign bit of the larger exponent
c) XOR the sign bits of both operands
d) OR the sign bits of the operands
7. Floating Point representation uses bias notation for exponents to:
a) compare floating point numbers easily
b) "hash" numbers to minimize loss of data in arithmetic operations
c) neither of the above
d) both of the above
8. Which of the following is/are true about using "denormalized" form?
The gap around 0 is consistent
II. Every number has a unique representation
III. It allows numerical solutions to have greater accuracy
I.
a) I
b) II
c) I and II
d) I and II
e) Il and IlI
9. Floating Point (single precision) Arithmetic and Integer Arithmetic require the same
"runtime" (number of steps) to execute.
a) TRUE
b) FALSE
10. To set the zero flag for an signed Integer (Magnitude) type variable,
a) XOR all 32 bits
c) NOR all 32 bits
b) XOR the 31 least significant bits
d) NOR the 31 least significant bits
Transcribed Image Text:For all of these questions, "floating point" will refer to IEEE standard representation. 1. The smallest positive single precision floating point number is: a) 2-150 b) 2-149 c) 2-45 d) 2-23 2. The largest single precision floating point number is approximately: a) 1023 b)1038 c)10128 d)10300 3. Approximately how many significant digits are contained in double precision floating point? a) 7 b) 15 c) 24 4. The single precision floating point 0 11111111 00000000000000000000000 d) 53 represents: a) 0 b) infinity c) not a number 5. Double precision floating point represents twice as many numbers as single precision floating point. a) TRUE b) FALSE 6.To hardwire the sign bit for Floating Point Multiplication / Division: a) AND the sign bits of both operands b) use the sign bit of the larger exponent c) XOR the sign bits of both operands d) OR the sign bits of the operands 7. Floating Point representation uses bias notation for exponents to: a) compare floating point numbers easily b) "hash" numbers to minimize loss of data in arithmetic operations c) neither of the above d) both of the above 8. Which of the following is/are true about using "denormalized" form? The gap around 0 is consistent II. Every number has a unique representation III. It allows numerical solutions to have greater accuracy I. a) I b) II c) I and II d) I and II e) Il and IlI 9. Floating Point (single precision) Arithmetic and Integer Arithmetic require the same "runtime" (number of steps) to execute. a) TRUE b) FALSE 10. To set the zero flag for an signed Integer (Magnitude) type variable, a) XOR all 32 bits c) NOR all 32 bits b) XOR the 31 least significant bits d) NOR the 31 least significant bits
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