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Chapter 3: Q37E (page 240)

Question: Based on your answers to 3.35 and 3.36, does (3.41796875 10-3 X 6.34765625 X 10-3) X 1.05625 X 102 = 3.41796875 X 10-3 X (6.34765625 X 10-3 X 1.05625 X 102) ?

Short Answer

Expert verified

The values are not equal.

Step by step solution

01

Given Values.

Consider the following values:


02

Converting decimal to binary equivalent.


03

Considering the LHS part:

Consider the multiplication of the values:

The final answer after multiplying the values is 2111.

04

Considering the RHS part:

Consider the multiplication of the values:

The final answer after multiplying the values is 2395.

It can be seen that

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Most popular questions from this chapter

Write down the binary bit pattern to represent -1.5625×10-1 assuming a format similar to that employed by the DEC PDP-8 (the left most 12 bits are the exponent stored as a two’s complement number, and the rightmost 24 bits are the fraction stored as a two’s complement number). No hidden 1 is used. Comment on how the range and accuracy of this 36-bit pattern compares to the single and double precision IEEE 754 standards.

Question: [10] Write down the binary representation of the decimal number 63.25 assuming the IEEE 754 double precision format.

Question: [30] <§3.5> If the bit pattern 0×0C000000 is placed into the Instruction Register, what MIPS instruction will be executed?

Assume 151 and 214 are signed 8-bit decimal integers stored in two’s complement format. Calculate 151+214 using saturating arithmetic. The result should be in decimal. Show your work.

Question: 3.22 [10] What decimal number does the bit pattern 0×0C000000 represent if it is a floating point number? Use the IEEE 754 standard.
See all solutions

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