Chapter 11 Quiz

_____ is when the result may be larger than can be held in the word size being used. A. Overflow B. Arithmetic shift C. Underflow D. Partial product

A. Overflow

_____ are included in IEEE 754 to handle cases of exponent underflow. A. Subnormal numbers B. Guard bits C. Normal numbers D. Radix points

A. Subnormal numbers

Positive numbers less than 2-127 are called _____. A. positive underflow B. positive overflow C. negative underflow D. negative overflow

A. positive underflow

Moving the sign bit to the new leftmost position and filling in with copies of the sign bit is called _____. A. sign extension B. range extension C. bit extension D. partial extension

A. sign extension

_____ means that the number is too small to be represented and it may be reported as 0. A. Negative underflow B. Exponent underflow C. Positive underflow D. Significand underflow

B. Exponent underflow

_____ representation is almost universally used as the processor representation for integers. A. Biased B. Twos compliment C. Sign-magnitude D. Decimal

B. Twos compliment

Although considered obsolete, the term _____ is sometimes used instead of significant. A. minuend B. mantissa C. base D. subtrahend

B. mantissa

Negative numbers greater than 2-127 are called _____. A. negative overflow B. negative underflow C. positive overflow D. positive underflow

B. negative underflow

Positive numbers greater than (2 - 2-23) x 2-128 are called _____. A. negative underflow B. positive overflow C. positive underflow D. negative overflow

B. positive overflow

_____ is when a positive exponent exceeds the maximum possible exponent value. A. Significand underflow B. Significand overflow C. Exponent overflow D. Exponent underflow

C. Exponent overflow

_____ formats extend a supported basic format by providing additional bits in the exponent and in the significand. A. Arithmetic B. Basic C. Extended precision D. Interchange

C. Extended precision

_____ involves the generation of partial products, one for each digit in the multiplier, which is then summed to produce the final product. A. Addition B. Subtraction C. Multiplication D. Division

C. Multiplication

The most common scheme in implementing the integer portion of the ALU is: A. sign-magnitude representation B. biased representation C. twos complement representation D. ones complement representation

C. twos complement representation

Negative numbers less than -(2 - 2-23) x 2 128 are called _____. A. positive underflow B. positive overflow C. negative underflow D. negative overflow

D. negative overflow

In _____ representation the rule for forming the negation of an integer is to invert the sign bit. A. ones complement B. twos complement C. biased D. sign-magnitude

D. sign-magnitude

Booth's algorithm performs more additions and subtractions than a straightforward algorithm. True or False?

False

For base 2 representation, a normal number is one in which the most significant bit of the significand is zero. True or False?

False

It is not necessary for the ALU to signal when overflow occurs. True or False?

False

Overflow can only occur if there is a carry. True or False?

False

Overflow is a less serious problem because the result can generally be satisfactorily approximated by 0. True or False?

False

Actual floating-point representations include a special bit pattern to designate zero. True or False?

True

Addition and subtraction can be performed on numbers in twos complement notation by treating them as unsigned integers. True or False?

True

An advantage of biased representation is that nonnegative floating-point numbers can be treated as integers for comparison purposes. True or False?

True

Both sign-magnitude representation and twos complement representation use the most significant bit as a sign bit. True or False?

True

Compared with addition and subtraction, multiplication is a complex operation, whether performed in hardware or software. True or False?

True

For each 1 on the multiplier, an add, and a shift operation are required; but for each 0 only a shift is required. True or False?

True

One drawback of sign-magnitude representation is that there are two representations of 0. True or False?

True

One of the trade-offs of floating-point math is that many calculations produce results that are not exact and have to be rounded to the nearest value that the notation can represent. True or False?

True

The numbers represented in floating-point notation are not spaced evenly along the number line, as are fixed-point numbers. True or False?

True

With a fixed-point notation it is possible to represent a range of positive and negative integers centered on or near 0. True or False?

True