Hello Mrs. Sweta, I'd appreciate it if you helped with the first 7 questions of this assignment, I can solve the last one so nevermind it :)

Thanks

 

 

ENGR 262 Digital Logic Design
Homework 3
Due at 4:00 PM on Friday, February 24th.
Show all your work for each problem.
Simplifying Boolean Function Using K-Map
1. For the K-map shown below, write the simplified expression, and draw the simplest possible
circuit 2. For the K-map shown below, write the simplified expression, and draw the simplest possible
circuit 3. For the given Boolean functions, write the simplified functions using K-Map,
a. F A, B, C, D AC ' D' A' C ABC AB' C A' C' D'
b. F A, B, C, D A' B' C' D CD AC ' D
4. Minimize the given functions with its don’t care:
a. f(w,x,y,z) = Σm(1,3, 11, 15) + Σd (5,7,10,12,14).
b. f x1, x2 , x3 m1,4,7 d 2,5
c.
d.
e. f x1, x2 , x3 , x4 m0,2,8,9,10,15 d 1,3,6,7 f x1, x2 , x3 , x4 m0,2,4,6,7,9 d 10,11 g x1, x2 , x3 , x4 m2,4,9,10,15 d 0,13,14 Design of Combinational Circuits
The word “Design” includes Truth table, K-map of each output bit, and logic diagram of the simplified output functions. For
simplicity and clarity, draw a separate logic diagram for each output bit. You may also use logic
gates with any number of inputs. Writing the behavioral Verilog-HDL design.
5. Design a combinational circuit with three inputs x, y, and z, and three outputs A, B, and C. When
the binary inputs is 0, 1, 2, or 3, the binary output is two greater than the input. When the binary
input is 4, 5, 6, or 7, the binary output is three less than the input.
6. Design a 3-bit majority circuit. A majority circuit is a combinational circuit whose output is equal
to 1 if the input variables have more 1’s than 0’s. The output is 0 otherwise.
7. Design a 4-bit combinational circuit 2’s complementer (the circuit generates the 2’s complement
of the 4-bit input).
Design of a 2-bit Calculator using Verilog-HDL
8. Design a 2-bit calculator using modular design of multiple behavioral modules. The calculator has
two inputs x and y; each is of 2-bit. The calculator has a 4-bit output z. The calculator has another
2-bit input select. The functions of the calculator is described by the table below;
Select z 0 x+y 1 x-y 2 x*y a. Write the behavioral Verilog-HDL of the adder (define the output as 4-bit)
b. Write the behavioral Verilog-HDL of the subtractor (define the output as 4-bit)
c. Write the behavioral Verilog-HDL of the multiplier (define the output as 4-bit)
d. Write the behavioral Verilog-HDL of 4-bit, 2x1 multiplexer
e. Draw the block diagram of connecting the different blocks of the calculator
f. Combine (instantiate) the previous modules to form the 2-bit calculator

Attachments:

• 1493710833-Homework 03.pdf