1. Design a 4 -to - 1 multiplexer for the selection lines X1 1 and Xo = 1. 2.Using K- Map, simplify the following Boolean expression : X=(3,2,1,11,14) 3. Build.the logic circuit for the function F1 = XYZ + YZ +YZ using PAL
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- 1. Design a 4 - to - 1 multiplexer for the selection lines X1 =1 and Xo = 1. 2.Using K- Map, simplify the following Boolean expression : X=(5,8,9,11,14) 3. Build the logic circuit for the function F1 = XYZ + YZ + YZ using PAL1. a. i. Draw the gates required to build a half adder are ii. When simplified with Boolean Algebra (x + y)(x + z) simplifies to : iii. The output of a logic gate is 1 when all its inputs are at logic 0, the gate is either :1. Design a 4 - to - 1 multiplexer for the selection lines X1 = 1 and Xo = 1 . 2. Using K - Map , simplify the following Boolean expression : X = ( 5,8,9,11,14 ). 3. Build the logic circuit for the function F1 = XYZ + YŽ + YZ using PAL
- Consider two 8-bit inputs, A = $52 and B = $C3 to the arithmetic and logic unit (ALU). Compute R =A + B. Express R in the hexadecimal form $-- : -61 Express N-Z-V-C bits in the form ----:USE DIGITAL LOGIC AND DESIGN Part 1: In Figure_4; we have 4-bit Comparator using 2-bit Comparators block. You have to satisfy given condition by applying all data on figure 4. At the end, given condition should produce HIGH output and other two should be LOW. A3 A2 A1 A0 = 1101 and B3 B2 B1 B0 = 1110 Figure_4 Part 2: The serial data-input waveform (Data in) and data-select inputs (S0 and S1) are shown in Figure_5. Determine the data-output waveforms from D0 through D3. Figure_5 Part 3: Decoder can be useful when we have to decode some specific numbers from their equivalent code. Figure 6 has a concept of 3 to 8 line decoder from which you have to generate output waveform from D0 to D7 with proper relationship to input. Figure_6 Part 4: The data-input and…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
- A logic function is expressed by the equation = 0.1.8.9.4. Plot the the values on the K-map below Note: w is the msb (most significant bit) 3 x 10 0- - W X 1 00 01 Write the simplified Sum of Products (SOP) expression. Use yz WIM or "" for NOT; 11 10 for AND; "+" for OR (without the quotation marks.1. Design a 4 - to – 1 multiplexer for the selection lines X, = 1 and X, = 1. 2.Using K- Map, simplify the following Boolean expression : X= (3,2,1,11,14) 3. Build the logic circuit for the function F1 = XYZ + YZ + YZ using PAL1 - Design 3-bit Gray code generator 1-1 Construct the Truth Table of the 3-bit Gray code generator Logic Circuit. 1-2 1-3 1-4 Write down Standard SOP expression of the three output bits B2, B1, BO Without using minimization. Simplify the logic by using K-map. Write down the simplified expressions of B2, B1, B0. Sketch the logic circuit with basic gates.
- Consider the given logic equation below. Draw the logic diagram then simplify it using Boolean Algebra. Draw the logic diagram based on the simplified logic equation. X = A'BC' + A'B'C' + AB'C + AB'C' + A'B'C From the given logic diagram, trace the output using all possible input combination. Give it a conclusion upon completion..Combinational Circuits - Design Procedure Design a logic circuit that has three inputs A, B, C and whose output will be HIGH only when a majority of the inputs are HIGH. 3-A. Generate the truth table. 2-B. Obtain the KMAP. 3-C. Provide the Simplified Boolean Function. 3-D. Generate the Logic diagram of the simplified Boolean function.Draw the equivalent logic circuit diagram of the following expressions : a. XY = F b. X + Y = F XÝZ = F c. d. XY + XZ = F e. XYZ + XÝZ = F