Design a circuit that takes the numbers 0 through 7 as inputs (0=000 , 1= 001, 2=010, ...., 7=111) and produces an output of 1 if and only if the input is an even number a. Draw the truth table b. Write the function c. Simplify the function by k-map d. Draw the logic gates of the simplified function

Design a circuit that takes the numbers 0 through 7 as inputs (0=000 , 1= 001, 2=010, ...., 7=111) and produces an output of 1 if and only if the input is an even number a. Draw the truth table b. Write the function c. Simplify the function by k-map d. Draw the logic gates of the simplified function

Electric Motor Control

10th Edition

ISBN:9781133702818

Author:Herman

Publisher:Herman

Chapter22: Sequence Control

Section: Chapter Questions

Problem 6SQ: Draw a symbol for a solid-state logic element AND.

See similar textbooks

Related questions

Q: Which of the following is the best description of a Field Programmable Gate Array that…

A: Field Programmable Gate Array (FPGA) consists of a programmable logic blocks array. Thus due to a…

Q: From the equation A' B C' + A B C D, draw the combinational minimised logic circuit using respective…

Q: A full adder takes three inputs, A, B, Cin, and produces two outputs, S, Cout. Explain the logic…

A: Full Adder in digital logicFull adder is an adder which adds three inputs and produces two outputs.…

Q: 7. Draw a logic circuit for ((~AVB)A(C V-D)) V-C

Q: Question 4: For the number display below, we would like to identify Boolean expression for LEDS…

A: We need to identify boolean expression for LEDs that indicates 11,14 and 15. a. We need to write the…

Q: Q6: For the following logic function: F(x,y,z) = xyz + xyz + xyz' +xyz a. Draw the logic Circuit b.…

A: For the given logic function the logic circuit needs to be drawn, the truth table for the given…

Q: Design a combinational logic circuit with four inputs A, B, C, D and one output F as follows. The…

A: A Karnaugh Map (K-map) is a graphical representation of truth tables used in digital logic design…

Q: Write the truth table and derive the expression for a,b,c,d,e,f, and g using four variable K-map.

Q: Using the Boolean rules, dekermine the outputs of the logic Circuits below: A c) d) A

Q: The hexadecimal number system: O a.simplifies tasks b.groups binary numbers in groups of 4 O c.…

A: e. all of the above. The hexadecimal number system simplifies tasks by providing a more compact…

Question

Design a circuit that takes the numbers 0 through 7 as inputs (0=000 , 1= 001, 2=010, ...., 7=111)
and produces an output of 1 if and only if the input is an even number
a. Draw the truth table
b. Write the function
c. Simplify the function by k-map
d. Draw the logic gates of the simplified function

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Requirement

VIEW

Step 2: Truth Table and Boolean Expression

Step 3: K-map

Step 4: Design

Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

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).
H.W: Reduce the combinational logic circuit in Figure below to a minimum form.
I was able to fill out the truth table for part A. I ONLY need help for PART B. B) Implement the logic function (z) using the multiplexer 74HC151 shows in the picture.
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 R
From the BCD code whose block diagram is given in the figure below, you can find the 7-segment LED display (with common anode) code. Solving combinational logic circuit will be designed. This type of commercially produced decoder is integrated State the features you consider important by researching the circuits. BCD input at the output of the decoder For the 0-9 values of the information information, the following display figures will be seen and the values other than these it will be considered arbitrary. Since the 7-segment LED display has a common anode, Logic "0" will be applied in response to the burned parts. The accuracy of the logic circuit you will design Create the table and find the output expressions by shrinking the table with the Karnaugh diagram method.
Needs Complete solution with 100 % accuracy.
Design a combinational circuit with the four inputs A,B.C, and D, and three outputs X, Y, and Z. When the binary input is odd number, the binary output is one lesser than the input. When the binary input is even number the binary output is one greate than the input. Implement the function using multiplexers with minimal input and select line.
Please help me draw this demultiplexer using logic gates
I need an expert solution for handwriting, correct and complete please.
1. Gray code to Binary converter: Gray code is one of the codes used in digital systems. It has the advantage over binary numbers that only one bit in the code word changes when going from one number to the next. (See Table 1). Design a combinational circuit with 4 inputs and 4 outputs that converts a four- bit gray code number into an equivalent four-bit Binary number. Use Karnaugh map technique for simplification. Use LogicWorks for pre-lab demonstrations. Select the library "7400dev.clf* in the Parts Palette and then select the XOR chip 74-86. This would give you a set of 4 XOR's as shown in Fig. 1, just like the hardware chip 74-86. You could use as many as needed from these XOR gates in your design. Get back to ALL LIBRARIES and select switches for the inputs and Binary Probes as indicators of the outputs. Verify your design in the pre-Lab. During the Lab construct the circuit and verify its operations.
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 C
Design a combinational circuit with four input lines that represent a decimal digit in BCD and four output lines that generate the 9's complement of the input digit. Provide a fifth output that detects an error in the input BCD number. This output should be equal to logic 1 when the four inputs have one of the unused combinations of the BCD code. Provide a schematic logic diagram of it. It will surely help me in my review. Thank you so much!