Question: A floating-point number system uses a 4-bit fraction and a 4-bit exponent with negative numbers expressed in 2s complement. Design an efficient system that will

A floating-point number system uses a 4-bit fraction and a 4-bit exponent with negative numbers expressed in 2’s complement. Design an efficient system that will multiply the number by -4 (minus four). Take all special cases into account and give a properly normalized result. Assume that the initial fraction is properly normalized or zero. This system multiplies only by -4.

(a) Give examples of the normal and special cases that can occur (for multiplication by -4).
(b) Draw a block diagram of the system.
(c) Draw an SM chart for the control unit. Define all signals used.

Step by Step Solution

★★★★★

3.31 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a 0000 2 8 4 should result in no change 01 2 x 4 11 2 x2 10 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Digital Systems Design Questions!

This problem concerns the design of a divider for floating-point numbers: (F 1 x 2 E1 )/(F 2 x 2 E2 ) = F x 2 E Assume that F 1 and F 2 are properly normalized fractions (or 0), with negative...

a) Perform the floating point addition. b) Draw an SM chart for a floating-point adder that adds F 1 x 2 E1 and F 2 x 2 E2 . Assume that the fractions are initially normalized (or zero) and the final...

Add the following floating-point numbers (show each step). Assume that each fraction is 5 bits (including sign) and each exponent is 5 bits (including sign) with negative numbers in 2s complement. F...

clarifications: math.h functions may not be used in this project math.h was included in to the source code to provide the INFINITY constant needed by your get_fp() function for returning...

Question 9.31 Please! floating converting a given decimal floating-point number into binary may use both the integer and floating-point instructions available in the comtormat y computer produce the...

(1) Using arithmetic shifting, perform the following a) Double the value 00010101 b) Divide the value 11001010 in half (2) If the floating-point number representation on a certain system has a sign...

computer Architecture and organization ( in detail please ) Digital Logic Circuit and Digital Components Question #1_(4 marks): Convert the following numbers with the indicated bases to decimal:...

c++ Just final answer is enough will upvote Question 1 The domain of our decimal number system is {0,..9} and each digit has a value based on position True False 2. A binary number system has a base...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

it's just multiple choice IT'S 17 Q PLEASE ANSWER ALL OF IT The hexadecimal number of the decimal num ber 105.25 is (A) 69.4 (C) 96.4 0 69.04 2.[ ] What encoding is used for real numbers in modern...

A charge Q is placed at each of the opposite corners of a square. A charge q is placed at each of the other two corners. If the net electric force on Q is zero, then is 9 equals to - D 9 (a)-22 (b)-1...

12.33 CH ALLENG E Summarizing the results of storage time on vitamin content. Refer to Exercises

1. The following are the prices paid for the American television broadcasting rights of the summer Olympics since 1980: MoscowNBC agreed to pay $85 million; 1984 in Los AngelesABC paid $225 million;...

Starting with 1,3-butadiene as your only source of carbon atoms, and using any other reagents of your choice, design a synthesis of the following compound:

The following triene reacts with excess maleic anhydride to produce a compound with molecular formula C 14 H 12 O 6 . Draw the structure of this product (ignoring stereochemistry). Maleic anhydride...

Chlordane is a powerful insecticide that was used in the United States during the second half of the twentieth century. Its use was discontinued in1988 in recognition of its persistence and...

11. Nonannual compounding period Aa Aa E The number of compounding periods in one year is called compounding frequency. The compounding frequency affects both the present and future values of cash...

Height X 11 Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. The correlation coefficient is 0.873 and the least squares regression line is...

Jim and Alice Lange, employees at Walmart, have put themselves on a strict budget. Their goal at year's end is to buy a boat for $17,000 in cash. Their budget includes the following: 46% food and...