F1 (x, y, z) = M (1, 3, 5)
M1 = 001 = x+y+z'
M3 = 011 = x+y'+z'
M5 = 101 = x'+y+z'
The Function for F1 = (x+y+z')(x+y'+z')(x'+y+z')
F2 (x, y, z) = m (0, 2, 4, 5)
m0 = 000 = x'y'z'
m2 = 010 = x'yz'
m4 = 100 = xy'z'
m5 = 101 = xy'z
The Function for F2 = x'y'z'+x'yz'+xy'z'+xy'z
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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...
We are interested in designing a circuit that implements the following three Boolean functions: 3. h(x,y,z)=Σm(1,4,6) f1x,y,z)- > m(1,4,6) y-m35) (x,y, z) Σ m (2,4,6,7) 左 You are supposed to implement the circuit with a decoder constructed with NAND gates (a) [12pt] Start by drawing the block diagram of a NAND-based decoder with three inputs (x,y,z), labelling all the outputs with their corresponding Boolean functions (b) [8pt) Using a new block diagram of the NAND-based decoder, implement the circuit using...
Q2A: Truth tables of three logic functions F1, F2 and F3 given above. Implement the function F1, F2 and F3 using 3 to 8 decoder? (Assume a 3to8 decoder component given to you, if required you may use minimum number of additional logic gates to support your design with 3 to 8 decoder) (Points) Q2B: Write HDL code to implement the above function F1, F2 and F3. All three function should include in on HDL code. In you HDL code use...
Given four-input Boolean functions, F1 (A,B,C,D) = Σm(4, 5, 10, 11, 12) F2 (A,B,C,D) = Σm(0, 1, 3, 4, 8, 11) F3 (A,B,C,D) = Σm(0, 4, 10, 12, 14) (a) Realize F1, F2 and F3 using a ROM. (b) Realize F1, F2 and F3 using a PLA of minimum size. Show the PLA table and location of switches.
1. Read Only Memory Design a ROM that implements the following four Boolean functions: A(x,y,z)-2m(2, 3, 4, 5) B(x,y,z)-2m(0, 1, 2, 6) C(x,y,z) -2m(0, 3, 4, 5, 7) D(x,y,z) -2m(3, 5, 6) Make sure you are using an appropriately sized decoder, all lines are clear, and all "connections" are clearly marked. 1. Read Only Memory Design a ROM that implements the following four Boolean functions: A(x,y,z)-2m(2, 3, 4, 5) B(x,y,z)-2m(0, 1, 2, 6) C(x,y,z) -2m(0, 3, 4, 5, 7) D(x,y,z)...
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x, y, z) = (xy + xyz + xyz c. F(A,B,C,D) = 20,2,4,5,6,7,8,10,13,15) d. F(A,B,C,D) = A'B'C'D' + AB'C + B'CD' + ABCD' + BC'D e. F(A,B,C,D,E) = (0,1,4,5,16,17,21,25,29) 2. (12 pts) Consider the combinational logic circuit below and answer the following: a. Derive the Boolean expressions for Fi and F2 as functions of A, B, C, and D. b. List the complete truth table...
Make up a function F: R^3 -> R^3, [f1(x,y,z); f2(x,y,z); f3(x,y,z) ] and compute its gradient. Be a little creative, give me a polynomial, some trig functions, and maybe something else. Include a cross term or two.
Simplify the following Boolean functions using four-variable maps: F(w, x, y, z) = Σ (1, 4, 5, 6, 12, 14, 15) F(w, x, y, z) = Π (0, 1, 4, 5, 6, 7, 8, 9) AB’C + B’C’D’ + BCD + ACD’ + A’B’C+ A’BC’D (A xor B)’ (C xor D)
Design a PLA that implements the followingthree boolean function A(w,x,y,z) = ?m(4, 5, 7, 12, 13, 15) B(w,x,y,z) = ?m(0, 1, 4, 5, 8, 9, 11, 12, 13, 15) C(w,x,y,z) = ?m(0, 1, 2, 3, 6, 7, 8, 9, 10, 11, 14) a) Use Karnaugh Maps to optimal each function and its complement. b)Select the three optimal functions to use in the PLA. C)Optimize the equation(s) using Karnaugh Map(s). d.Draw the circuit (Don't forget the clock).
Find the complement of the following expressions b) (AB+C)0%E 2. Given the Boolean function F -xy + x'y' y'z 1. Implement it with AND, OR, and inverter 2. Implement it with OR and inverter gates, and 3. Implement it with AND and inverter gate 3. Express the following function in sum of minterms and product of maxterms: a) F(A,B,C,D) - B'DA'D BD b) F (AB+C)(B+C'D) 4.Express the complement of the following function in sum of minterms a) F (A,B,C,D)-2 (0,2,6,11,13,14)...
3. (10 points) Given the circuit below, answer the questions in parts (a) and (b). VDD PFETS a. Determine the logic expression for f(x,y,z). b. Determine the pFET array for the circuit above. 4. (10 points) Write the logic functions for fl(x2,x1,x0) and f2(x2,x1,x0) for the 3-to-8 decoder circuit below. 3-to-8 DEC 0 0 0 5. (15 points) Given the following Boolean functions, answer part (a) and (b) f1(a,b,c)= f2(a,b,c)= m(1,3,5,7) m(1,5,6) a. Implement the functions using a minimal number...