Draw a logic gate circuit for the following functions: F = AB’ + C’(A + B) F = (X’Y+Z) + (X +YZ’)
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Draw a logic gate circuit for the following functions:
- F = AB’ + C’(A + B)
- F = (X’Y+Z) + (X +YZ’)
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- Draw the equivalent logic circuit diagram of the following expressions : a. XY = F b. X + Y = F XÝZ = F c. d. XY + XZ = F e. XYZ + XÝZ = FConsider the circuit below. The switches are controlled by logic variables such that, if A is high, switch A is closed, and if A is low, switch A is open. Conversely, if B is high, the switch labeled is open, and if B is low, the switch labeled is closed. The output variable is high if the output voltage is 5V, and the output variable is low if the output voltage is zero. a. Write a logic expression for the output variable. b. Construct the truth table for the circuit. A Logic 1 5V(+ B C Logic 0 RWrite a VHDL code for the following simple logic circuit. D- X1 X2 f X3
- Design the following combinational logic circuit with a four-bit input and a three-bit output. The input represents two unsigned 2-bit numbers: A1 A0 and B1 B0. The output C2 C1.C0 is the result of the integer binary division A1 A0/B1 B0 rounded down to three bits. The 3-bit output has a 2-bit unsigned whole part C2 C1 and a fraction part CO. The weight of the fraction bit CO is 21. Note the quotient should be rounded down, i.e. the division 01/11 should give the outputs 00.0 (1/3 rounded down to 0) not 00.1 (1/3 rounded up to 0.5). A result of infinity should be represented as 11.1. A minimal logic implementation is not required. (Hint: start by producing a truth table of your design).Draw the logic circuit for F=A.(B+C) .Discussion: 1. Simplify the following logical expression and implement them using suitable logic gates a = E2,4,6,10,14 b. F = I12,3,6 2 Determine whether or not the following equalities corect: a. A+B.C+Õ C = BC b. B(AO) +B C+ ACBOc) = AC 3. Convert the following expressions to SOP forms: A (A +B. C) -B b. (A + C)(Ã-B-Č+A.C-D) * 4. Write a Boolean expression for the following statement: Fisa "1" if A, B&C are all 1's or if only two of the variable is a"0". %3D * 5. Fing F
- Q2/A. Design a logic circuit that perform the following Boolean function, use 4-to-1 multiplexer and other logic gates you may need in the design. Use Shannor expansion 21 18 31 f(A, B, C, D, E) = ABCDE + ABCDE + ABCDE + ABCDE %3D l68421 B. Design 8-bit Adder/Subtracter using 4-bit Adder and 2-to-1 multiplexers other logic gates you may need in the design.1. a. i. Draw the gates required to build a half adder are ii. When simplified with Boolean Algebra (x + y)(x + z) simplifies to : iii. The output of a logic gate is 1 when all its inputs are at logic 0, the gate is either :Design a Programmable Logic Array (PLA) which implement the following functions F,(x1, X2 , X3) = X1X2 + X1 Xz + x1 X3 F2(x1, X2 , X3) = X1X3 + X1 X2 + Xq X3
- 4. For the logic circuit shown in Figure below write the required input condition (A,B,C) to make the output X =1. A BWrite a VHDL program to implement the combinational logic circuit in the following figure. HA A>B A>E B The circuit contains three input signals r, q and s, and one output sigal z. All signals are 1 bit only. In the circuit, there are two 2-to-1 multiplexers and two 2-input comparators. The two comparators should be implemented using component.Q6: For the following logic function: F(x,y,z) = xyz + xyz + xyz +xyz a. Draw the logic Circuit b. Construct the Truth Table c. Simplify the Logic Circuit