write with pencil and paper 1.  Convert the following integers from binary to hexadecimal notation: I. 001011102 II. 1011 0111 1100 01012   2. Construct a circuit for the following Boolean expressions: I. (~p V ~q ) Λ (~p Λ r)  Λ (qV~r) II. P∧∼Q) ∨(∼P∧R)

a. Write a sum-of-products Boolean expression bexp3 for the output ? of this truth table.  b. Draw a circuit that is a direct translation of bexp3 without any simplification. For the circuit, try to use the same input order and layout convention as in the example shown below

DIGITAL EXPRESSIONS( NEED ONLY HANDWRITTEN SOLUTION PLEASE OTHERWISE DOWNVOTE).

A B C D HO [ E E E F F D G F G D 1. Simulate the circuit and built the truth table using the following headers. Truth Table 1 OUTPUT INPUT C A B E F D D G 0 X 1 --X

1| Rev 001 Eff Date: 09-08-2023 QP-ASR-001 | Rev 001 Eff Date (b) Draw a logic circuit diagram of the following Boolean expression: i. AB+C+ACB+B ii. ABC + ABC + AC (c) Convert the following expression to sum-of-product form F(A, B, C) AB + BC + AC Question 3: [Total Marks: 10] [5 marks] [5 marks] [5 marks] (a) Draw the logic circuit diagram for the following Boolean expressions using only NAND Gates X= AB (b) Draw the logic circuit diagram for the following Boolean expressions using only NOR Gates X=AB Question 4: [Total Marks: 10] (a) What is the Control word for the following micro-operations? [6 marks] i. R1 <- R2 + R3 ii. R2 <- SHR R2 Page 2 of 3 iii. R7 <- R2-R3 (b) The following instructions are performed in a processor based on general register organization. If R1 = 1001 and R2 = 1101, what will be the value of register R2 in the following operations: i. R2 <- SHR R2 ii. R2 <- R2 + R1 [4 marks] Question 5: [Total Marks: 15] Given the expression (A+B)*(C-D)+(E/F*G) (a) Find the…

Simplify these  two given Boolean expressions1. AB+AB’2. (A+B)(A+B’)

a. Write a sum-of-products Boolean expression bexp3 for the output ? of this truth table.  b. Draw a circuit that is a direct translation of bexp3 without any simplification. For the circuit, try to use the same input order and layout convention as in the example shown below

A four-bit binary number (A, B, C, D), where A is the most significant digit and D the least significant digit, appears on the input to a combinational logic circuit. Output X indicates whether the number is divisible by 2 without any remainder and output Y indicates if the number is divisible by 3 without remainder. Obtain the sum-of-products logic equations for X and Y with the minimum number of literals. Show the implementation for X and Y. Also implement X using NAND gates only.

Simplify the following Boolean expression. F(W, X, Y, Z) = X*Y + W*X*Y*!Z + !X*Y =

How do I generate a 4-bit DIGITAL sine wave in Python and scale the y-axis from 0000 to 0111? The y-axis has to start at 0000 and end at 0111. The amplitude of the sine-wave is 0111. Please do not post if the math in the code is wrong.