A |
B |
C |
0 |
Minterm |
0 |
0 |
0 |
0 |
A B C |
0 |
0 |
1 |
0 |
A B C |
0 |
1 |
0 |
0 |
A B C |
0 |
1 |
1 |
1 |
A B C |
1 |
0 |
0 |
0 |
A B C |
1 |
0 |
1 |
1 |
A B C |
1 |
1 |
0 |
1 |
A B C |
1 |
1 |
1 |
1 |
A B C |
Create a logic gate diagram for this table on logic.ly.
3. Consider the following Boolean function. F(A, B, C, D)-(0, 1, 6, 7, 12, 13) a. Using K-map, simplify F in S.O.P. form b. What is the gate input count in (a)? c. Draw the logic circu in (a) d. Simply F using K-map in P.O.S. form. c. What is the gate input count in (d)? f. What should be your choice in terms of gate input count? 4. In our class, we implemented a BCD-to-Segment Decoder a. Draw Truth...
Question 3 (20 marks) (a) Define minterm and maxterm in Boolean functions. [4 marks] (b) The truth table of the function X is shown in Table 1 Table 1 A|B|C 0 0 0 (i) Write the Boolean expression for function X in maxterms. () Simplify function X. ) Draw the logic gates of the simplified function X. (iv) Explain the benefits of simplifying the Boolean functions for digital circuits. [5 marks] [5 marks] [3 marks] [3 marks]
digital fundamentals thomas floyd Q8. A) Write the SOP (Minterm) Boolean expression for the truth table in Fig 2 below and draw the logic circuit that will perform the logic in the truth table in. B) Finally implement the same logic circuit by universal gates. [2+2=4] Inputs Output Inputs Output с в А Y C B A Y 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 1 1...
X 1. Determine the truth table for the above circuit. A B C 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 111 2. Determine the Karnaugh Map for the above circuit and do both an SOP minimization (the left KAI) and a POS minimization (the right KM). Write the minimized Boolean expressions below the corresponding Karnaugh Map BC ВС 00 01 11 10 00 01 11 10 0...
Design a circuit with three inputs (A, B, C) and two outputs (F1, F2). The first output F1 is logic 1 if the number of l’s in the binary number is less than the number of O's, otherwise F1 is logic 0. The second output F2 is 1 if the binary input is 2, 4, 5, 6,7 otherwise the second output F2 is logic 0. a. Derive the truth-table for F1 and F2 as a function of the 3 inputs....
. After drawing the K-map for the sum of minterm expression F(A,B,C,D)=Σ(0,2,3,7,8,10,11,15) (a) Derive a NAND-NAND implementation diagram b) Derive a NOR-NOR implementation diagram c) Derive a NAND-AND implementation diagram (d) Derive a NOR-OR implementation diagram (e) State which of the implementations provided in parts a)-d) is the fastest
About logic diagram, boolean algebra, computer organization Draw the logic diagram for function F as a 2‐level AND‐OR circuit. Background F(a,b,c) --> F output 1 if abc is interpreted as 3-bit unsigned integer is a prime number. Output is 0 for other numbers. The Simplified SOP Expression of F = a'b + ac F (a, b, c) = m (2, 3, 5, 7) Note: i) complemented inputs (a', b', c') are not available; ii) Use a fan‐in of 2 only....
Design a circuit with three inputs (A, B, C) and two outputs (F1, F2). The first output F1 is 1 when the binary input is 2, 3, 4, 7, otherwise the first output F1 is logic 0. The second output F2 is 1 when the input variables have more l's than 0's. The output is 0 otherwise. Input/ Output ABC F1 F2 000 001 010 011 100 101 a. Derive the truth-table for F1 and F2 as a function of...
Problem 3 (28 points) A. Consider the logic circuit below. VSS 10 V A D 1. Complete the truth table for the above logic circuit: C (V) В (V) D(V) A (V) 0 0 10 0 0 10 10 A Fall 2018 ECE 3710 10 pause 1 t shift 2. Write C and D as logie functions in terms of A and B. C- D- 3. What the type of logic gate is this with inputs A and B and...
Question 2: Which logic gate is described by the truth table shown below: 0 0 1 1 0 1 1 10