Question

In: Computer Science

Design a combinational logic circuit that takes a single digit decimal number as its input and...

Design a combinational logic circuit that takes a single digit decimal number as its input and also detects if the input is an odd number.

Design a combinational circuit that accepts a 3-bit number and generates an output binary number equal to the square of the input number.

Solutions

Expert Solution

Notice that every other bit in the input is multiple of 2 except the Least Significant Bit. SO the number is odd if LSB is 1 and is even if LSB is 0.

Let the imput be where i0 is the LSB

So if i0 is 1 even bit should be 0 and odd bit should be 1

and if i0 is odd even bit should be 1 and odd bit should be 0

The circuit is:

squuare of 3 bit number is a 6 bit number. ssuppose the input is and output is .

steps to be taken are:

1. find the truth table

2. minimize the boolean function using K-map (or any other technique)

3. build the minimized circuit.

1.

The truth table is:


Related Solutions

Problem Statement: Design a combinational logic circuit that meets the following specifications: • Input: 3-bit binary...
Problem Statement: Design a combinational logic circuit that meets the following specifications: • Input: 3-bit binary integer (A), 2-bit binary integer (B). • Output: 5-bit binary integer (X) = (AxB). For example, A=6, B=2, X=6x2=12. Notation: • A=(A2,A1,A0) • B=(B1,B0) • X=(X4,X3,X2,X1,X0) Required Output: Show the truth table and a minimal logic expression for each of the outputs. Also, draw a logic diagram using discrete gates. Extra Credit: Redesign by using multiplexers and minimal discrete logic as appropriate. 1 |...
Design a logic circuit that takes 2-bit input A and 2-bit input B and subtracts the...
Design a logic circuit that takes 2-bit input A and 2-bit input B and subtracts the two numbers using full adders and inverters with full adders diagram, which input is subtracted dos not matter.
Design a combinational logic circuit that performs the function of Full Subtractor. Draw a neat diagram...
Design a combinational logic circuit that performs the function of Full Subtractor. Draw a neat diagram of the final circuit and verify the design for at least two input samples.
1. Design a combinational logic circuit that converts 4 bits binary to gray code 2. Design...
1. Design a combinational logic circuit that converts 4 bits binary to gray code 2. Design a combinational logic circuit that converts gray code to 4 bits binary 3. Design a combinational logic circuit that converts 4bits 2421 to excess 3 code
Design a combinational circuit that implements a Binary-to-Grey Code converter. Your input should be a four-bit...
Design a combinational circuit that implements a Binary-to-Grey Code converter. Your input should be a four-bit binary number, and your output should be the equivalent four-bit Grey Code value. First, design the circuit using NAND gates only. Next, design the circuit using a minimal number of 2-input XOR gates.
a) Design and implement a combinational circuit that converts excess-3 to BCD code using 2-input NAND...
a) Design and implement a combinational circuit that converts excess-3 to BCD code using 2-input NAND gates. (Design: means show all the steps) b) Draw the logic diagram of 2x4 decoder using NOR gates only. Include an enable input. (describe in details) c) Construct a 5-to-32-line decoder with four 3-to-8 decoders with enable and a 2-to-4-line decoder. Use block diagrams for the components. (Describe in details while you are constructing the required circuit) d) Design a 2-bit multiplier using a...
Explain the operation of the isolation amplifier. Design a circuit that takes an input voltage and...
Explain the operation of the isolation amplifier. Design a circuit that takes an input voltage and outputs a scaled differentiated version of the input minus a scaled version of the input, at the output of the circuit
Design a synchronous sequential logic circuit with input X (that has been synchronized to the clock)...
Design a synchronous sequential logic circuit with input X (that has been synchronized to the clock) and output Y. Every second high-to-low transition of X results in a one clock period long pulse on Y immediately after the transition. Otherwise, Y is 0. Draw a timing diagram (showing input, output and state variables) for an appropriate sequence on input X
Write a program in C that takes as input a four-digit hexadecimal number and prints the...
Write a program in C that takes as input a four-digit hexadecimal number and prints the next 10 hexadecimal numbers. Define a hexadecimal number as int hexNum[4] Allow upper- or lowercase letters for input and use uppercase letters for the hexadecimal output. For example, 3C6f should be valid input and should produce output 3C6F, 3C70, 3C71, . . . .
design a logic circuit that counts the number of 1s in 12 inputs(a0...a11) and outputs a...
design a logic circuit that counts the number of 1s in 12 inputs(a0...a11) and outputs a 4-bit binary that represents the count of 1s. for example, if input is 111111111111 which has 12 1s, then output should be 1100 note :Do not use clocking. draw logic diagram.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT