b) Solve the following questions for the given equation Y = Ā(B + C)(A+ B + C) + A.BC i) Draw the logic circuit diagram using basic logic gates. ii) Simplify the given equation using Boolean Laws and theorems i) Draw the logic circuit of the simplified expression using basic logic gates
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- Design the following combinational logic circuit with a four-bit input and a three-bit output. The input represents two unsigned 2-bit numbers: A1 A0 and B1 B0. The output C2 C1.C0 is the result of the integer binary division A1 A0/B1 B0 rounded down to three bits. The 3-bit output has a 2-bit unsigned whole part C2 C1 and a fraction part CO. The weight of the fraction bit CO is 21. Note the quotient should be rounded down, i.e. the division 01/11 should give the outputs 00.0 (1/3 rounded down to 0) not 00.1 (1/3 rounded up to 0.5). A result of infinity should be represented as 11.1. A minimal logic implementation is not required. (Hint: start by producing a truth table of your design).4. Figure 2 shows a logic circuit with output F Figure 2. Logic circuit with gate I (AND), gate II (AND), gate III (NOT), gate IV (AND), gate V (EXOR) and gate VI (OR) a. Find the Boolean expression of output F. b. The simplified Boolean expression of Output F. c. If the input A and C were High and Input B was Low, what is output F:answere fast please question from DIGITAL LOGIC DESIGN TOPIC : Designing Combinational Logic You are designing a water level circuit using 74ALS151 (8 to 1 Multiplexer IC)* When input is 0000 that means tank is empty.* When input is 1111 that means tank is full.* When input is below 5, that means water level is low.* So, make a circuit using 74ALS151 Multiplexer IC that shows a "low water" indicator light(by setting an output L to 1) when the water level drops below level 5.
- Basic Combinational Logic Circuits 2. Write the output expression for logic circuit: A B B XDesign a combinational circuit with four input lines that represent a decimal digit in BCD and four output lines that generate the 9's complement of the input digit. Provide a fifth output that detects an error in the input BCD number. This output should be equal to logic 1 when the four inputs have one of the unused combinations of the BCD code. Provide a schematic logic diagram of it. It will surely help me in my review. Thank you so much!2.1 Combinational logic circuits. Tabulates a truth table for the following Boolean expression shown in Equation 1.1. f = A.B.C + A.B.C + A.B.C (1.1) 2.2 Half adder. A half adder is a circuit that adds two binary digits, A and B. It has two outputs, sum (S) and carry (C). The carry signal represents an overflow into the next digit of a multi-digit addition. Figure 1.2 depicted a logic diagram for a half adder. a. derives the Boolean expression for s and c. b. tabulates a truth table for the half adder. Ao Bo Figure 1.2: Half adder os S C
- 1.Simplify: (A + C)(AD + AD) + AC + C to its simplest logic function and create a logic diagram 2, Simplify: A(A + B) + (B + AA)(A + B) to its simplest logic function and create a logic diagram 3. Simplify: AB(A+ B)(B+ B) to its simplest logic function and create a logic diagramTask 6: Simplifying Boolean functions in EWB using the logic converter Simplify the following Boolean expression in EWB using the logic converter F (A, B, C) = AB'C'+ A'B'C'+ A'BC'+ A'B'CA three input logic functipn will provide a logic high output only when twp (and two only) of the inputs are logic highs. For all other input possibilities, a logic zero is provided on the output. What is the logic expression? A. Y=A'B'C+A'BC'+AB'C' B. Y=AB'C+A'BC+ABC' C. Y=AB'C+ABC+A'B'C' D. Y=ABC'+AB'C+A'B'C'
- 9 Part 1 of 2 Mc Graw Hill Required information Consider the logic gate circuit shown in the given figure. A (S1)-0- B (S2)-0 C (S3)-0- AB B BC B+C What is the Boolean equation for the given figure? ***************** The Boolean equation for the given figure is (Click to select) Note: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.Q1. Determine the output waveform and Boolean expression X of the logic circuit in given circuit. D. B Q 2. Find the all Boolean expression for Y1, Y2, Y3, and Y4 (in the Q-1) and the intermediate waveforms at each of points Y1, Y2, Y3, and Y4.An X-input exclusive-OR gate and a Y-input exclusive-OR gate (where X=3, Y=4 have their outputs connected to a 2-input exclusive-NORgate. Do the following:a) Draw the logic diagram and analyze the logic expression of the output (in standard SOPform).b) List out all essential prime implicants.