(Solved): EE178: Digital Principles Exercise 4: Combinational logic design. Handed out on: March 14. Hand in b ...

EE178: Digital Principles Exercise 4: Combinational logic design. Handed out on: March 14. Hand in by: April 4. Please solve in an organized manner. Points will be reduced for unorganized and difficult-to-read solutions. In this question you will implement a system (similar to the ALU discussed in class) that receives as input 3 variables

, each variable consisting of

bits, and a flag variable

consisting of 2 bits; and outputs a

bit variable

based on the following rules. In what follows,

, and

are considered to be in 2's complement form with

bits and

stands for the absolute value of

. (a) If

then the output

will compare between the values

and

. Namely

if

and

otherwise. (b) If

then the output

will be equal to the largest input among

, and

(in 2's complement form). For example, if

then

will be equal to

. Ties can be broken arbitrarily. (c) If

then the output

will be equal to the product of

and

. Here, |) and are the 3 least significant bits of

and

respectively (you may assume

). In this case, the values of

, and

are considered to be in standard binary form. (d) If

then the output

will be the logical shift of

to the left

positions, where

is a value between 0 and 3 obtained by adding up the least significant bits of

, and

. For example, if the least significant bit of

is 0 , the least significant bit of

is 1 , and the least significant bit of

is 1 ; then

should be the logical shift of

to the left 2 positions (as

). Construct a circuit that performs the above functionality. Draw the circuit in an organized and readable manner. Up to 50 points will be reduced for solutions that are unorganized and difficult to understand. It is recommended to present the circuit in a modular manner (see figure below). In your circuits, you may use standard gates, MUXs, Decoders, full adders, k-bit adders, k-bit subtractors,

-bit comparators, and the

-bit absolute-value circuit from class. My circuit and sean - Figure 1: A modular representation of the circuit. The main circuit ("My circuit" on the left) is presented using a number of components, and each component is presented separately in detail. 1