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-
- K mapDiscussion: 1. Simplify the following logical expression and implement them using suitable logic gates a = E2,4,6,10,14 b. F = I12,3,6 2 Determine whether or not the following equalities corect: a. A+B.C+Õ C = BC b. B(AO) +B C+ ACBOc) = AC 3. Convert the following expressions to SOP forms: A (A +B. C) -B b. (A + C)(Ã-B-Č+A.C-D) * 4. Write a Boolean expression for the following statement: Fisa "1" if A, B&C are all 1's or if only two of the variable is a"0". %3D * 5. Fing FI was able to fill out the truth table for part A. I ONLY need help for PART B. B) Implement the logic function (z) using the multiplexer 74HC151 shows in the picture.
- 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 CAlert 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.draw the logic diagram using three basic 2-input logic gates F=(A'+C) (A'+ C') (A+B+C'D)i will give you thumbs up