1. For the following circuit, find the output. Simplify the circuit if possible. AF 1H 타 [2] [1] [3] FO BH [4] DH [5] [6]
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![1. For the following circuit, find the output. Simplify the circuit if possible.
AH
타
E|
[2]
[1]
[3]
FO
BH
[4]
DH
[5]
[6]
2. Draw the circuit for the following equations.
a. AB+C'D'
b. WX+WY'X+ZYX
С.
A'BC+EF+DEF'
3. Prove the following equations using truth tables:
a. (X + Y)(X' + Z) = XZ + X'Y
b. (X + Y)(Y + Z)(X' + Z) = (X + Y)(X' + Z)
(A + C)(AB + C') = AB + AC'
С.
%3D
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- Based on the following image answer the following questions; a. Write a boolean algebra expression for each of Q0, Q1, Q2, and Q3: b. Draw a circuit that produces each of the functions from a single set of inputs A1 and A0: c. Each input combination of A1 and A0 represents a 2-bit binary number. How is this related to the outputs?Implement the following Boolean function using a multiplexer. Use A, C and D as the select lines, where A is the MSB and D is the LSB. Answer the following questions. Include a systematic solution for you answer, if applicable.1. Which of the following inputs are not connected to the ground?A. I2B. I5C. I6D. More than one of the choicesE. None 2. Which of the following inputs are connected to B?A. I0B. I1C. I3D. More than one of the choicesE. None 3. Which of the following inputs are connected to +5V or Vcc?A. I3B. I4C. I7D. More than one of the choicesE. None 4. What is the output when A=1, B=0, C=1 and D=0?A. +5VB. 0VC. B’D. More than one of the choicesE. NoneWe will construct a circuit that multiplies a double-digit binary number by three, using onlyhalf-adders, which were described in class. Please use a dotted line for the result digit, and asolid line for the carry digit. (See attached image) (a) Write out algebraicly what the calculation above represents.(b) Construct the circuit using half-adders only.
- This is a question: Binary to Hexadecimal Decoder using 7-Segment Display Task 1: (Design the circuit): Write a handwriting report including a short description about the circuit (including function, inputs/outputs, type of the circuit, logic elements required etc), Truth table/State Table, Boolean equations, Simplification of the equations. Attach an image of the Logisim circuit at the end of your report. Task 2: (Implementation)…Create a circuit that compares two 2-bit numbers A and B. It should produce a 1 if A is smaller than B, and 0 otherwise. To accomplish this task, you can create a 1-bit circuit, then use it twice to make it a 2-bitcircuitwrite a computer program that produces the desired output from the given input. Input: Values for a, b, n, and r, 1 ≤ r ≤ n + 1Output: rth term in the expansion of (a + b)n
- Implement the following Boolean function using a multiplexer. Use A, C and D as the select lines, where A is the MSB and D is the LSB. Answer the following questions. Include a systematic solution for you answer, if applicable.1. What is the output when A=0, B=1, C=1 and D=0?A. +5VB. 0VC. B’D. More than one of the choicesE. None 2. What is the output when A=0, B=1, C=0 and D=0?A. +5VB. 0VC. BD. More than one of the choicesE. NoneBuild a circuit that takes four bits as input: W, X, Y, Z. Treat WX as a 2-bit unsigned binary number, and treat YZ as a second 2-bit unsigned binary number. Your circuit should generate the output corresponding to the product of WX and YZ. You will need 4 bits of output for this problem.For example, if your input was 1011, your inputs correspond to 2 and 3. That product is 6, so your output will be 0110.Create a truth table for this problem, show all k-maps and minimizations, and build the corresponding (minimized) circuit. Use XOR, XNOR, NAND, and NOR as appropriate if it reduces the number of gates used.answer with proper explanation and step by step solution. Question: Given a positive integer input n�, write a loop to compute the sum of all the odd factors of n. For example, if n� is 6, the sum should be 4, because 6 has two odd factors: 1 and 3. Sample runs Input 1: 10 Output 1: 6 Input 2: 7 Output 2: 8
- P9. VConstruct a truth table based on the following Boolean expressions below: F = (A' + B' + C') (A + B + C) (A' + B' + C) (A + B + C')..Double the input size= (2n)^2=4n^2 so the increase is by a factor of 4 (a) n^4 (b) n^3 (c) 100n (d) nlogn (e) 2^nthis is question: Binary to Octal Decoder using 7-Segment Display Task 1: (Design the circuit): Write a handwriting report including a short description about the circuit (including function, inputs/outputs, type of the circuit, logic elements required etc), Truth table/State Table, Boolean equations, Simplification of the equations. Attach an image of the Logisim circuit at the end of your report. Task 2: (Implementation)…