Q8. The output logic expression of a digital system is given by Y = A+B(C+ B ) i) Implement the output Y using NOR gates only. ii) Develop the truth table.
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- 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 Circuit2.1 Combinational logic circuits. Tabulates a truth table for the following Boolean expression shown in Equation 1.1. f = A.B.C + A.B.C + A.B.C (1.1) 2.2 Half adder. A half adder is a circuit that adds two binary digits, A and B. It has two outputs, sum (S) and carry (C). The carry signal represents an overflow into the next digit of a multi-digit addition. Figure 1.2 depicted a logic diagram for a half adder. a. derives the Boolean expression for s and c. b. tabulates a truth table for the half adder. Ao Bo Figure 1.2: Half adder os S CDIGITAL LOGIC DESIGN Are the following addition results Overflow or underflow and why?
- Consider 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 RDesign a logic circuit with four inputs and one output that will produce "l" in the output only if the input patterns have odd number of zeros. a) Write the Boolean equation for the circuit in the simplest SOP form. b) Draw the logic circuit for the above equation in its simplest form. c) Re Design the logic circuit using NANI) gates only?Figure (a) shows a combinational logic circuit. It is simulated with a sequence of inputs shown in Figure (b). F(A B.C) Figure (a) B F (A, B, C) Figure (b) a. Determine the output expression for F with the input variables A B and C. Simplify the function using Boolean Algebra technique. b. Sketch the simplified circuit for F. c. Draw the truth table for the function F(A,B,C). d. Determine the timing diagram for the function F(A,B,C) based on the timing diagram given in Figure (b).
- 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).1-Draw the logic circuits, for the following Boolean expression; simplify the expression whenever it is possible before realization. a) F = AB + AC+ BC -b) F = c) F = (A. B)(Ā.B)(AB)(A.B ) (x+y+xy)(x+ y) %3D %3D d) F = AB+ AB.C+ AQ1. Design a 4-input, one output combinational logic circuit for the following input-output conditions: a) If the number of 1’s in inputs is more than or equal to 2 then the output is 1 ?. b) If the number of 1’s in inputs is less than 2 then the output is 0 ?.
- 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 :Logic Design courses / EE200SP21 / General / Mid Term Examination Part II (Subjecti Compute the minimal products of sum and minimal sum of products expressions for following KMAP. Show your groupings on KMAP АВ CD 1 1 1 1 0. Instructions: You have to solve the answer by hand on paper, scan/take photo and upload it as a single file. Local Disk (D:) Mid Term Examinat.Consider this logic expression. X = (A AND B) OR (B AND NOT C) Draw a logic circuit for this logic expression.