Exam 10: Computer Arithmetic

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A __________ is one in which the most significant digit of the significand is nonzero.

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normal number

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

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A

Negative numbers greater than 2-127 are called _________.

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B

IEEE 754-2008 defines an __________ format as a format with a precision and range that are defined under user control.

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

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The register contains additional bits,called __________,which are used to pad out the right end of the significand with 0s.

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

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If two numbers are added,and they are both positive or both negative,then _________ occurs if and only if the result has the opposite sign.

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

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

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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.

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Extending the range of numbers that can be expressed by increasing the bit length is referred to as __________.

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

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

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

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

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

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

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

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

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