Q4. A combinational circuit has 3 outputs F1, F2 and F3 F1 = xy Z+ xz F2 = x y Z+x y F3 = x y z + xy Design the circuit with a decoder and external gates.
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Q: F1 = xyZ + xz F2 = x y Z+Xy F3 = xỹ z + xy
A: F1=x'y'z'+xz = x'y'z'+xz(y+y') = x'y'z'+xyz+xy'z = x'y'z'+xy'z+xyz = Σ (0,5,7) F2=xy'z'+x'y =…
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- 3. A COMBINATIONAL CIRCUIT IS DEFINED BY THE FOLLOWING THREE BOOLEAN FUNCTIONS. DESIGN THE CIRCUIT WITH A DECODER AND EXTERNAL GATES F1= X'Y'Z' + XZ F2= XY'Z' + X'Y F3= X'Y'Z + XYUsing a decoder and external gates, design the combinational circuit defined by the following three Boolean functions:1. (a) F 1 = x ′ y z ′ + x z F 2 = x y ′ z ′ + x ′ y F 3 = x ′ y ′ z ′ + x y2. (b) F 1 = ( y ′ + x ) z F 2 = y ′ z ′ + x ′ y + y z ′ F 3 = ( x + y ) zA combinational circuit is defined by the following three Boolean functions. Design the circuit with a decoder and external gates. F1 = x' y' z' + xzF2 = x y' z' + x'yF3 = x' y' z + xy
- 5. Design an appropriate combinational circuit that implements a digital system with the following output functions: ROR, SHL, AND, XOR, ADD, DIV, SUB, MOV using a decoder. 6. Design the circuit diagram and truth table for the Boolean expression : F = (A’B) + (C’B).2. Design and implement a combinational circuit that adds three bits (x,y, and z) and returns the sum S and carry C.A combinational circuit has 2 outputs F1 and F2?? (x, y, z) = Ʃ m (1,2,4,7)?2 (x, y, z) = Ʃ m ( 3,5,6,7)Design the circuit with a decoder and external gates.
- 1) Build the truth table for this circuit by cycling through all of the possible input combinations and noting the input. 2) What logical function does this circuit represent? 3) Is it possible to replace this circuit by an equivalent single gate? 4) What would equivalence mean in this case?A sequential circuit has two JK flip-flops A and B, two inputs x and y, and oneoutput z. The flip-flop input equations and circuit output equation areJ A = B’y + Bx’ K A = B’xy’J B = A’x’ K B = (A’)’ + x’y’Z = Axy + B’xy’(a) Draw the logic diagram of the circuit.(b) Tabulate the state table.(c) Derive the state equations for A and BKarnaugh Map And Circuit Designing – 4 Bits Plus Or Minus 1Design a circuit with inputs x, y, z and w. When the binary input is 0, 1, 2, 3,4,5,6, and 7 thebinary output is one greater than the input. When the binary input is 8, 9, 10, 11, 12,13,14, and15 the binary output is one less than the input.
- Consider an OAI321 static CMOS gate.(a) Draw the logic diagram (i.e. using AND/OR/INVERTER gates)(b) Draw the transistor schematic (using NFET/PFETs)Q1 Using a multiplexer design a combinational circuit design defined by the following boolean expression: F= y'z'+x'y+yzA majority circuit is a combinational circuit whose output is equal to 1 if the input variables have more 1’s than 0’s. The output is 0 otherwise.1. (a) Design a three-input majority circuit by finding the circuit’s truth table, Boolean equation, and a logic diagram.2. (b) Write and verify a HDL gate-level model of the circuit.