Convert the given exponential expression into SEEMMMMM floating-point format (use excess-50 notation to represent an exponent) and perform multiplication operation,  0.85067 x 102 0.52099 x 10-1

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter18: Stacks And Queues
Section: Chapter Questions
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Convert the given exponential expression into SEEMMMMM floating-point format (use excess-50 notation to represent an exponent) and perform multiplication operation, 

0.85067 x 102

0.52099 x 10-1

Expert Solution
Step 1

IEEE Floating Point Format

Many contemporary DSPs make extensive use of IEEE floating-point formats. IEEE floating-point formats come in two different varieties (IEEE 754 standard). The IEEE single-precision format is one, while the IEEE double-precision format is the other

Step 2

S stands for the mantissa symbol ( first digit)

Excess-50's exponent is referred to as E. ( second and third digit)

M stands for mantissa (last 5 digits)

The numbers 0 and 5 stand in for the mantissa's sign.

where Zero(0) is the +ve symbol and Five(5) denotes the -ve symbol.

 

Step 3

1) 0.85067×102
Positive is the mantissa sign. Consequently, the first digit of S is 0.

2 is the exponential value.

Therefore, 52 (which was obtained from 50+2) is used to represent the Excess-50 value.

EE= 52 (second and third digit).

85067 Mantissa (last 5 digits)

Consequently, 0.85067102 in SEEMMMMM format is 05285067.

 

 

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