Ans :
Consider a negative number detector which accepts a 5-bit signed-magnitude binary number A as input and...
Q2 (20pts) Design a combinational ct that accepts an input 3-bit binary number (XYZ) and generates an output 4-bit binary number (ABCD) where output equal to the double of the input number. (a) Construct the truth table (b) State each output-bit as a function in sum of minterms (SOM) form: (c) State each output-bit as a function in product of maxterms (POM) form: ΠΜ(.) (d) Optimize the circuit using K-maps and find the simplified functions Show your work full-credit. Q3...
design a combinational circuit using suitable decoder that accepts 3 bit binary number generates an output binary number equal to square of input number.
Design a combinational circuit that accepts a 2-bit number and generates a 4-bit binary number output equal to the square of the input number. Use Decoder and any other external gates as necessary to implement your design. Draw the logic diagram and clearly label all input and output lines.
Design a combinational circuit that accepts a 3-bit binary number input x and generates a 6-bit binary number output equal to the xth Fibonacci number F(x) = F(x-1) +F(x-2) where F(0) = 2 and F(1) = 3.The book we are using in class is this: http://www.cramster.com/logic-and-computer-design-fundamentals-4th-solutions-3631 and we are on chapter 3.
(a) Write a truth table. The input is 4-bit binary ABCD, A is MSB, D is LSB. The output is also represented by x. (b) Obtain an output expression in the form of a SOP. (c) Use Boolean Algebra to design a circuit consisting of only four inverters, four 3-input and gate, and one 4-input OR gate using the simplified and simplified expression obtained in (b). 4-6. The Excess-3 coding system is a four-bit digital coding system for encoding all...
1. Consider the following 7-bit binary sequence "1010001" a. Assuming the sequence is 7-bit unsigned binary, convert it to decimal. [5 points] b. Assuming the sequence is 7-bit 2's complement format, convert it to decimal. (5 points c. What is the range of numbers (in decimal) that can be represented using 7-bit binary, signed 2's complement format? [5 points 2. Consider the following Boolean function: F(x, y, z) = (x + y)z'+xy! a. Implement the circuit for the function using...
Design a combinational circuit which inputs a three-bit binary number, and outputs the input number PLUS two if the input is less then or equal to 3, and outputs the minus two if the input is greater than 3. This should include the truth table for the operation, the karnaugh map(s), and the resulting circuit.
Construct a "divisible-by-3" FSM that accepts a binary number entered one bit at a time, most significant bit first, and indicates with a light if the number entered so far is divisible 6. A. Draw a state transition diagram for your FSM indicating the initial state and for which states the light should be turned on. Hint: the FSM has 3 states. B. Construct a truth table for the FSM logic. Inputs include the state bits and the next bit...
Using building blocks such as binary adders, comparators, multiplexers, decoders, encoders, and arbiters as well as logic gates, design an 8x2 popularity circuit – a circuit that accepts eight two-bit numbers and outputs the number of times each of the four numbers appears on the input.
1. Consider the following 7-bit binary sequence "1010001" a. Assuming the sequence is 7-bit unsigned binary, convert it to decimal. 15 points] b. Assuming the sequence is 7-bit 2's complement format, convert it to decimal. (5 points c. What is the range of numbers (in decimal) that can be represented using 7-bit binary, signed 2's complement format? 15 points 2. Consider the following Boolean function: F(x, y, z) = (x + y). z'+xy' a. Implement the circuit for the function...