1- Determine the logic equation for the output and construct the truth table and Karnaugh maps for the multiplexer shown below: Do D1 Y D2 D3 So E 2- Use a 4-to-1 multiplexer and logic gates to implement the function:
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- 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).An X-input exclusive-OR gate and a Y-input exclusive-OR gate (where X=3, Y=4 have their outputs connected to a 2-input exclusive-NORgate. Do the following:a) Draw the logic diagram and analyze the logic expression of the output (in standard SOPform).b) List out all essential prime implicants.answere fast please question from DIGITAL LOGIC DESIGN TOPIC : Designing Combinational Logic You are designing a water level circuit using 74ALS151 (8 to 1 Multiplexer IC)* When input is 0000 that means tank is empty.* When input is 1111 that means tank is full.* When input is below 5, that means water level is low.* So, make a circuit using 74ALS151 Multiplexer IC that shows a "low water" indicator light(by setting an output L to 1) when the water level drops below level 5.
- 2.1 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 CSelect a suitable example for for combinational logic circuit. O a. None of the given choices O b. De-multiplexer O c. PLA O d. LatchesBuild a truth table and draw the output wave form for the following logic gates shown in Figure Q2. A o B Co Do E o D D Figure Q2 Z
- Design a combinational circuit with 3-inputs and 1-output. The output is equal to logic-1 when the binary value of the input is less than 3. And the output is logic-0 otherwise.In this assignment, you are required to design a circuit that counts and displays the sequence of the number 010430011092 . The number will then be displayed on a 7-segment display and changed every 1 second. The block diagram is as shown in Figure 1. Construct your design as follow: - (a) Design a combinational logic circuit that converts binary number to a sequence of the number 010430011092 and to be displayed on a single common anode 7-segment display. The logic circuit must be designed using 2-input NAND gateUsing truth table for 7-segment logic:1. Determine the minimum logic for segment b2. Determine the minimum logic for segment c3. Determine the minimum logic for segment d4. Determine the minimum logic for segment e5. Determine the minimum logic for segment f6. Determine the minimum logic for segment g
- 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 :Q1. Determine the output waveform and Boolean expression X of the logic circuit in given circuit. D. B Q 2. Find the all Boolean expression for Y1, Y2, Y3, and Y4 (in the Q-1) and the intermediate waveforms at each of points Y1, Y2, Y3, and Y4.Q1. 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 ?.