Consider the implementation of a 1 bit full adder using logic gates a) construct truth table for S and Cb) construct a combination of gates that give S (Hint: it involves 2 XOR gates) and C(Hint: C=A.B+B.C0+A.C0)
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Consider the implementation of a 1 bit full adder using logic gates
a) construct truth table for S and C
b) construct a combination of gates that give S (Hint: it involves 2 XOR gates) and C
(Hint: C=A.B+B.C0+A.C0)
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- Q1. (a) Express the following logic function as a sum of minterms and as a product of maxterms, using shorthand format: F = AB+A'C'D'+ABD'+A'B'(C'+D') +A'CD' 30% (b) Simplify the above function using a Karnaugh map, and implement it using two-level logic with a minimum number of AND, OR, and NOT gates. Give the simplified logic function and draw the logic diagram. 40%Construct the logic for 4-bit binary adder-subtractor using 4-bit parallel adder and XOR gates, draw the logic diagram, construct the circuit on hardware and complete the truth tableImplement the logic function described by the following truth table using a single a) 2:1 multiplexer and logic gates as required. A F 1 -e- e- O-
- Give all gates outputAlert dont submit AI generated answer.Consider F(A,B,C) = AB'C + B'C' + A'BC + A'C' 1. Determine how many logic gate inputs would be needed before any simplification. Do not count inputs to NOT gates 2. Use Boolean algebra rules to get the most simplified expression of F(A,B,C). Then determine how many logic gate inputs would be needed after simplification. Again, do not count inputs to NOT gates. 3. Expand the original expression into its canonical SOP representation. 4. Fill out the K-map below using the SOP canonical representation. Group the 1-cells according to the K-map simplification rules. Translate each group into its product term, OR these product terms together, and verify that the expression you get matches the one in Step 2. 5. Draw two circuits in CircuitVerse, one from the original expression for F(A,B,C), the other from the simplified expression in Step 2 or Step 4. Connect the inputs to both circuits, but separate their outputs. Verify through simulation that these two circuits are indeed equivalent. Take…
- Q2- Design a modulo 4 counter that counts up if W=1 and counts down if W=0 at any count (Example if count =2 and W=1, next count will be 3 but if W=0 the next count will be 1). Use only T type F-F and mini- mum logic gates.answer the question b1.) Design/draw a (4) bit adder and subtractor Reference your lab 11 Show the logic steps to operate: 2. ) Math Operation: Binary 9-4 =___________ For example: Show the inputs to the EXOR gates A0-1-2-3 = B 0-1-2-3 = CTRL = A/D Outputs of (Adder: 7483) S0= S1= S2= S3 =_____
- 4. Use the Word table tool to construct the truth table for this circuit. Be sure to include intermediate values. Insert column headings in the first row. Be sure to use the Insert > Equation tool so that standard Boolean logic symbols are displayed in the headings. A B. D In the circuit implementation of an 8-bit adder, explain why the carry bit connection of the least- significant bit is connected to ground. Explain in words what values for A, B, C, D, E will cause a 1 to appear at point X. A B E1. Gray code to Binary converter: Gray code is one of the codes used in digital systems. It has the advantage over binary numbers that only one bit in the code word changes when going from one number to the next. (See Table 1). Design a combinational circuit with 4 inputs and 4 outputs that converts a four- bit gray code number into an equivalent four-bit Binary number. Use Karnaugh map technique for simplification. Use LogicWorks for pre-lab demonstrations. Select the library "7400dev.clf* in the Parts Palette and then select the XOR chip 74-86. This would give you a set of 4 XOR's as shown in Fig. 1, just like the hardware chip 74-86. You could use as many as needed from these XOR gates in your design. Get back to ALL LIBRARIES and select switches for the inputs and Binary Probes as indicators of the outputs. Verify your design in the pre-Lab. During the Lab construct the circuit and verify its operations.Create a circuit to generate odd parity bit for a 3-bit code. a. Construct the truth table. b. Use K-map to simplify the circuit. c. Draw the circuit with minimum number of gates. (I did the question myself, but I'm confused as to why the K-map does not provide the simplified circuit to build the minimum number of gates)