Answers
Explanation
f1
(a+c')b' = ab' + b'c'
a'b
f2
a'b
(b'+c)(b+c') = b'c' + bc
f3
a'b'c
(a+c')b = ab + bc'
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Consider the following digital circuit fi a b f2 с " i B b'c Do a...
Q3) (10 points] Tabulate the truth table of an 8x4 ROM that implements the following functions: F. (A,B,C) = A'B + AC F1 (A,B,C) = A'B'C' +C F2 (A,B,C) = A'B' + AB F3 (A,B,C) = AB + AC + BC F1 F2 F3 Address Fo ABC 000 001 010 011 100 101 110 111
Please implement the following logic expressions using PLD, draw up the circuit with compact representation. F1=A'BCD+AC'D'+B'CD F2=A'B+AB'+CD+CD' F3=(A+B+CD) (A' +B+C'+D)+A'B'C'
Question 7[ 20 Marks ] 1. The number of full and half-adders required to add 16-bit numbers is A. 8 half-adders, 8 full-adders B. 1 half-adder, 15 full-adders C. 16 half-adders, 0 full-adders D. 4 half-adders, 12 full-adders 2. How much of the following are needed to make 4 * 16 decoder 2. How much of the following are needed to make 4 * 16 decoder A. one 1*2 and two 3*8 decoders B. two 1*2 and two 3*8 decoders...
2. (a) Let B = {f1, f2, f3} be a subset of P2 where fi(x) = x² – 3, f2(x) = x2 – 2x and f3(x) = x. Show that B is a basis of P2. (b) Determine whether or not the following sets are subspaces of F. (i) X = {f € F | f(x) = a(x + cos x), a € R}. (ii) Y = {f EF | f(x) = ax + sin x, a € R}. (c)...
can help me to answer question b and c ,11, 12, 3.13 Simplify the following expressions to (1) sum-of-products and (2) products-of-sums: (a) A'C' +B'C' +BC' + AB (b) ACD' + C'D + AB' + ABCD (c) ale (A' + B+ D')(A' + B' +C')( A' B' +C)(B' +C+ D') (d) BCD'+ABC' +ACD
Consider the following definition of equivalent sets of functional dependencies on a relation: “Two sets of functional dependencies F and F’ on a relation R are equivalent if all FD’s in F’ follow from the ones in F, and all the FD’s in F follow from the ones in F’.” Given a relation R(A, B, C) with the following sets of functional dependencies: F1 = {A B, B C}, F2 = {A B, A C}, and...
6. Implement the following Boolean expressions using logic gates:o i. L (AB+ AB) (A + B) ii. L ABC + ABC + ABČ rontiers of iii. L = (A+ B). BC iv. L (A+ C). (B D)
[10] A combinational circuit is specified by the following three Boolean function: F1(A,B,C) = {(2,4,7) F2(A, B, C) = 2(0,3) F3(A,B,C) = {(0,2,3,4,7) Implement the circuit with a decoder constructed with NAND gates and NAND or NOR gates connected to the decoder outputs. Use block diagram for the decoder. Minimize the number of inputs in the external gates.
Part I Consider the combinational circuit shown in the figure. (25pts) 1. T2 Ts A.) Derive the Boolean expression for T1 through T4. And evaluate the outputs as a function of the inputs. B.) List the table with 16 binary combinations of the four input variables. Then list the binary values for T1 through T4 and outputs F1 and F2 in the table C.) Plot the Boolean output functions obtained in part (B) on maps, and show that the simplified...
Computer Science: Computer Architecture 3. Do the following problems: Consider a circuit with 4 binary inputs. It counts the number of 1’s on its input and expresses (encodes or represents) the count as binary values on 2 output lines. a. Draw a truth table to represent the functions of the circuit. b. Provide SOP expressions for the output lines. c. Simplify the SOP expressions. d. Implement the circuit using 2-input NAND gates. 4. do the fowolling problems: a. Verify: xyz...