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__________ is when a positive exponent exceeds the maximum possible exponent value.

Exponent overflow

__________ means that the number is too small to be represented and it may be reported as 0.

Exponent underflow

_________ formats extend a supported basic format by providing additional bits in the exponent and in the significand.

Extended precision

Booth's algorithm performs more additions and subtractions than a straightforward algorithm.

False

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

False

It is not necessary for the ALU to signal when overflow occurs.

False

Overflow can only occur if there is a carry.

False

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

False

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

False

__________ involves the generation of partial products, one for each digit in the multiplier, which are then summed to produce the final product.

Multiplication

________ is when the result may be larger than can be held in the word size being used.

Overflow

_________ are included in IEEE 754 to handle cases of exponent underflow.

Subnormal numbers

Actual floating-point representations include a special bit pattern to designate zero.

True

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

True

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

True

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

True

Compared with addition and subtraction, multiplication is a complex operation, whether performed in hardware of software.

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

One drawback of sign-magnitude representation is that there are two representations of 0.

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

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

True

__________ representation is almost universally used as the processor representation for integers.

Twos compliment

Although considered obsolete, the term _________ is sometimes used instead of significand.

mantissa

Negative numbers less than -(2 - 2-23) x 2 128 are called _________.

negative overflow

Negative numbers greater than 2-127 are called _________.

negative underflow

Positive numbers greater than (2 - 2-23) x 2-128 are called _________.

positive overflow

Positive numbers less than 2-127 are called ________.

positive underflow

Moving the sign bit to the new leftmost position and filling in with copies of the sign bit is called _________.

sign extension

In ________ representation the rule for forming the negation of an integer is to invert the sign bit.

sign-magnitude

The most common scheme in implementing the integer portion of the ALU is:

twos complement representation


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