# Project #83045 - Representing Numerical Data

Representing Numerical Data

(MUST SHOW WORK)

Team Homework: Maximum 2 Students Student Name(s): ________________________________________ ________________________________________

Note: RRQ = Reading Review Questions (from the Englander textbook) Ex = Exercises (from the Englander textbook)

1. RRQ 5.9, p. 170. Show your work! (7.5 points)

2. Show the representation in an 8-bit binary system of both (18)10 and (-18)10. (15 points)

1. +18: Sign-and-magnitude format

2. -18: Sign-and-magnitude format

3. +18: 1’s complementary representation

4. -18: 1’s complementary representation

5. +18: 2’s complementary representation

6. -18: 2’s complementary representation

3. a. Find the 16-bit 2’s complementary representation for the decimal number 1987. Show your work! (Hint: I am asking for the 2’s complementary representation of 1987, not the 2’s complement of 1987) (5 points)

b. Find the 16-bit 2’s complementary representation for the decimal number -1987. Show your work! (5 points)

4. What is the 16-bit 2’s complement of the following binary number: (100111100001001)2. Show your work! (5 points)

5. Find the 16-bit 2’s complementary representation for the decimal number (-985)10. Show your work! (7.5 points)

6. Convert the following decimal number to the decimal floating point representation: -7254.76877 (5 points)

• Step 1: Normalize so that the number is expressed in scientific notation with the most significant digit just to the right of the decimal point.

• Step 2: Determine the sign (S) of the number: 0 for positive, 1 for negative.

• Step 3: Pick the 5 most significant digits as the mantissa (MMMMM).

• Step 4: Add 50 to the exponent to get the exponent in excess-50 notation (EE).

• Step 5: Put the number together in the format: SEEMMMMM

 Subject Computer Due By (Pacific Time) 09/21/2015 06:00 pm
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