2. Boolean expression i. Use only NAND gates to design a logic circuit to simulate the Boolean expression, 5) Y = A + BC + D 6) Y = AB + CD + Ē + F
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- T: Answer thne f. questions: 1) The hexadecimal number ´Al' has the decimal value equivalent to (A) 80 (B) 161 (C) 100 (D) 101 2) The output of a logic gate is 0 when all its inputs are logic 1. The logic is either (A) a NAND or an EX-OR (B) an OR or an EX-NOR (C) an AND or an EX-OR (D) an NOR or an EX-NOR 3) The Gray code of the Binary number 1100111 is (A) 1011011 (B) 1010100 (C) 1001001 (D) 101101 4) When simplified with Boollean Algebra (a+b)(a+c) simplifies to (A) a (B) a+a(b+c) (C) a(1+bc) (D) a+bc 5) -31 is represented as a sign Binary number ( using Sign-magnitude form ) equal to (A) 00011111 (B) 10101001 (C) 01110010 (D) 00101101 6) The Binary number 110111 is equivalent to decimal number (A) 25 (B) 55 (C) 26 (D) 34 7) With 4 bit, what the range of decimal values if the number is 2's complement signed number. (A) -32 to +31 (B) -2 to +1 (C) -8 to +7 (D) None of theseDraw 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 = F1. 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 :
- Kindly construct the circuit given below in logic.ly/demo/ and post screenshot of the circuit: SW1 SWo A (SW1) 0 0 1 1 LD Please complete the Truth Table for Circuit as below: Inputs B (SWO) 0 1 3 HALF ADDER CIRCUIT SCREENSHOT 0 1 Sum (LO) SUM In Table, what is the relation between inputs and carry outputs? Ans: In Table, what is the relation between inputs and sum outputs? Ans: Lo Cout Li Outputs Cout (L1)ehcu.org/pluginfile 100% 10 / 11 locations, count how many times is 0 and how many times 1 is. Questions:- 1- Write a program in assembly language to perform the following logic ci BL CL DL [5100]- 2- How we can perform the NEG and NOT instructions by using different instructions. 3- Write the following program by using different instruction or instructions for each instruction on the program. MOV AL , 00 MOV BX , FFFF XOR CL , FF NEG BYTE PTR [DI] AND CX , LGa) For the given logic circuit diagram write the program by using the gate level modeling. b) For the given truth table write the program by using the data flow Modelling. c) Write the test bench of the given logic circuit with all possibilities Y1 Y2 Y3 Y4 Y5 Y6 Y7 A2 A1 A0
- Which boolean expression related to this combinational logic circuit? A B C D LONDR OY (A + B). (A + C) + B OY (A B) + (A. C). B OY (A B) + (A. C). B OY (A.B) + A.C + B OY (AB) + A. C + B OY= (A + B). (A+C) + B OY (AB) + A.C + B YDesign 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).DIGITAL LOGIC DESIGN Are the following addition results Overflow or underflow and why?
- (c) Figure Q5(c) shows a logic circuit which has three inputs A, B, C and two outputs F and G. i) Obtain the logic expression for the outputs G and F. ii) Redesign the circuit using only 3-to-8 decoder (with active high outputs) and OR gates. G A B F Figure Q5(c)Design a 3-bit counter that counts the following sequence: 7,5, 3. 1.0.7, 5. 3, 1, 0, 7. etc. Using the sequential design technique that starts from a state diagram, draw the state table. minimize the logic. and draw the final circuit. The outputs of logic circuit are 2 = Qo Q1. I, = Qo.Qi + Qo.Qi, Io = Qo.Q2, Cont2 = Qj Q2 Cont1 = Qu Q2. Cont0 = Q2 Qo.Q1. h = Qo.Qi + Qo.Q1, Io = Qo Qz Cont2 = Q, Q2 Contl = Qo Q2 Cont0 = Q2 Qo Qı Ij = Qo.Q, + Q».Qı, Io = Qo. Q2. Cont2 = Qj Q2. Contl = Qo.Q2. Cont) = Q2 L = Qo.Qı. I¡ = Q. Qj + Qu Q Io = Qv.Qz Comt2 = Q, Q, Contl = Q Q2 Cont0 = Q2 !! fefsto How much will be per-product cost and thProblem #04] Using AND and OR gates develop the logic circuit for the Boolean equation shown below. Y =AB(C + DEF) + CE(A + B +F) Problem #05] Using AND and OR gates develop the logic circuit for the Boolean equation shown below. X-A(CD+B)