c. (25 points) Implement F using just two 8-to-3 encoders, NOT gates, and one AND gate of any size. Hint: given NOT gates and an AND gate to implement the circuit, how would you implement the OR gates with the 8-to-3 encoders? d. (25 points) Implement F using one 4-to-1 multiplexer and one OR gate of any size. Hint: Appropriate select line selection will allow the circuit to be completed without needing NOT gates or AND gates.
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Class 24 1. Given the shorthand POS expression F(a,b,c,d) П M (0,6,7,8) (b + c + d)(a + D+ ē): a....
Implement the function f (A,B,C,D) summation(m(0,2,5,8,12,13,14,15)) using: a. A 4-to-1 multiplexer, and external gates. Choose inputs...
Implement the function f (A,B,C,D) summation(m(0,2,5,8,12,13,14,15)) using: a. A 4-to-1 multiplexer, and external gates. Choose inputs A and B as the select lines. b. A 4-to-16 decoder and OR gate c. A PLA
Design the circuit for f(A,B,C,D)=ΠM(0,1,4,7,8,12-15),d(2,3,10) using a minimal number of 3-to-8 line decoders and NAND gates...
Design the circuit for f(A,B,C,D)=ΠM(0,1,4,7,8,12-15),d(2,3,10) using a minimal number of 3-to-8 line decoders and NAND gates (any size). Decoder outputs must be active-low. Also, assume that the decoder has one active-high enable line G0. If you need NOT gates, you must show them in the diagram using NAND gates.
Implement the circuit defined by equation F(a,b,c,d) = ∑( ) using: a. -to- multiplexers and logic...
Implement the circuit defined by equation F(a,b,c,d) = ∑( )
using:
a. -to- multiplexers and logic gates.
b. -to- decoders and logic gates.
(0,5,6,7,11) 3. Implement the circuit defined by equation F(a,b,c,d) = using: a. 4-to-1 multiplexers and logic gates. b. 2-to-4 decoders and logic gates.
(0,5,6,7,11) using: Implement the circuit defined by equation F(a,b,c,d) 1. 4-to-1 multiplexers and logic gates. 2....
(0,5,6,7,11) using: Implement the circuit defined by equation F(a,b,c,d) 1. 4-to-1 multiplexers and logic gates. 2. 2-to-4 decoders with non-inverted outputs and logic gates.
(0,5,6,7,11) using: Implement the circuit defined by equation F(a,b,c,d) 1. 4-to-1 multiplexers and logic gates. 2. 2-to-4 decoders with non-inverted outputs and logic gates.
7. (24 pts.) Implement the following Boolean function with an 8-to-1 multiplexer, a 2-to-4-line d...
7. (24 pts.) Implement the following Boolean function with an 8-to-1 multiplexer, a 2-to-4-line decoder, 3 x inverters and a OR-gate. (20 pts.) F(A, B, C, D, E) -2 (0,1,2,3,5,6,7,8,9,10,13,14,16,19,23,24)
7. (24 pts.) Implement the following Boolean function with an 8-to-1 multiplexer, a 2-to-4-line decoder, 3 x inverters and a OR-gate. (20 pts.) F(A, B, C, D, E) -2 (0,1,2,3,5,6,7,8,9,10,13,14,16,19,23,24)
need explain... 5. Implement the function f(a,b,c,d) = 2 m(0,1,3,4,5,7,9,10,11,13) a. (3 points) using an 8-to-1...
need explain...
5. Implement the function f(a,b,c,d) = 2 m(0,1,3,4,5,7,9,10,11,13) a. (3 points) using an 8-to-1 multiplexer and as few inverters as possible, and b. (4 points) using a 4-to-1 multiplexer and as few additional gates as possible.
Having the next Boolean functions: F1(x,y,z)-П (1, 3, 5) . F2(x,y,z)-Σ (0, 2, 4, 5) . 1. Make one...
Computer architecture
Having the next Boolean functions: F1(x,y,z)-П (1, 3, 5) . F2(x,y,z)-Σ (0, 2, 4, 5) . 1. Make one logic gate design circuit, using AND, OR and NOT logic gates (20 points). 2. Design two 4-to-1 selectors, one for each Boolean function (20 points) 3. Design one 3-to-8 decoder to solve both Boolean functions (20 points) 4. Design a 8x2 ROM to solve both Boolean functions (20 points) 5. Design a 3x5x2 PLA to solve both Boolean functions...
Prof. Tassos Dimitriou Homework 3 Deadline: Monday, April 1, 2019, IN CLASS Problem 3 [10 points ...
problem3
Prof. Tassos Dimitriou Homework 3 Deadline: Monday, April 1, 2019, IN CLASS Problem 3 [10 points a) (5 points) Construct a circuit that takes as input a 3-bit number X - X2XiXo and increments it by one. Le. if the input is 101 the output should be 110. Use only half adders. b) Construct a circuit that takes as input a 3-bit number X-xx,xo and decrements it by one. 1. (5 points) Show the truth table of the circuit....
(i) Given the following Boolean function F(A,B,C) = m(0,3,4,7) together with the don't care conditions d(A,B,C)=...
(i) Given the following Boolean function F(A,B,C) = m(0,3,4,7) together with the don't care conditions d(A,B,C)= £d(1,6) Implement the function F with a 3-to-8 active low decoder (use a block diagram for the decoder) and AND gate (with required number of inputs) only.
Design a four-bit combinational circuit 2'scomplementer. (The output generates the 2's complement of the input binary...
Design a four-bit combinational circuit 2'scomplementer. (The output generates the 2's complement of the input binary number.) Construct a 5-to-32-line decoder with enable by using 3-to-8 and 2-to-4-line decoders with enables For the decimal-to-BCD encoder given in the text (Slide 33 of chapter 5), assume by error that the 6 input and the 3 input are both HIGH. What is the output code? Is it a valid BCD code? Construct a 16 times 1 multiplexer with 4 times 1 multiplexers....
Implement the circuit defined by equation F(a,b,c,d) = ∑( )
using:
a. -to- multiplexers and logic gates.
b. -to- decoders and logic gates.
(0,5,6,7,11) 3. Implement the circuit defined by equation F(a,b,c,d) = using: a. 4-to-1 multiplexers and logic gates. b. 2-to-4 decoders and logic gates.
(0,5,6,7,11) using: Implement the circuit defined by equation F(a,b,c,d) 1. 4-to-1 multiplexers and logic gates. 2. 2-to-4 decoders with non-inverted outputs and logic gates.
(0,5,6,7,11) using: Implement the circuit defined by equation F(a,b,c,d) 1. 4-to-1 multiplexers and logic gates. 2. 2-to-4 decoders with non-inverted outputs and logic gates.
7. (24 pts.) Implement the following Boolean function with an 8-to-1 multiplexer, a 2-to-4-line decoder, 3 x inverters and a OR-gate. (20 pts.) F(A, B, C, D, E) -2 (0,1,2,3,5,6,7,8,9,10,13,14,16,19,23,24)
7. (24 pts.) Implement the following Boolean function with an 8-to-1 multiplexer, a 2-to-4-line decoder, 3 x inverters and a OR-gate. (20 pts.) F(A, B, C, D, E) -2 (0,1,2,3,5,6,7,8,9,10,13,14,16,19,23,24)
need explain...
5. Implement the function f(a,b,c,d) = 2 m(0,1,3,4,5,7,9,10,11,13) a. (3 points) using an 8-to-1 multiplexer and as few inverters as possible, and b. (4 points) using a 4-to-1 multiplexer and as few additional gates as possible.
Computer architecture
Having the next Boolean functions: F1(x,y,z)-П (1, 3, 5) . F2(x,y,z)-Σ (0, 2, 4, 5) . 1. Make one logic gate design circuit, using AND, OR and NOT logic gates (20 points). 2. Design two 4-to-1 selectors, one for each Boolean function (20 points) 3. Design one 3-to-8 decoder to solve both Boolean functions (20 points) 4. Design a 8x2 ROM to solve both Boolean functions (20 points) 5. Design a 3x5x2 PLA to solve both Boolean functions...
problem3
Prof. Tassos Dimitriou Homework 3 Deadline: Monday, April 1, 2019, IN CLASS Problem 3 [10 points a) (5 points) Construct a circuit that takes as input a 3-bit number X - X2XiXo and increments it by one. Le. if the input is 101 the output should be 110. Use only half adders. b) Construct a circuit that takes as input a 3-bit number X-xx,xo and decrements it by one. 1. (5 points) Show the truth table of the circuit....
(i) Given the following Boolean function F(A,B,C) = m(0,3,4,7) together with the don't care conditions d(A,B,C)= £d(1,6) Implement the function F with a 3-to-8 active low decoder (use a block diagram for the decoder) and AND gate (with required number of inputs) only.
Design a four-bit combinational circuit 2'scomplementer. (The output generates the 2's complement of the input binary number.) Construct a 5-to-32-line decoder with enable by using 3-to-8 and 2-to-4-line decoders with enables For the decimal-to-BCD encoder given in the text (Slide 33 of chapter 5), assume by error that the 6 input and the 3 input are both HIGH. What is the output code? Is it a valid BCD code? Construct a 16 times 1 multiplexer with 4 times 1 multiplexers....
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