Derive the Boolean expression for a 4-bit carry Look-Ahead adder. (show the black box circuit of this adder)
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- Question 3: a) Design a circuit which will add a 4-bit binary number to a 5-bit binary number. Use five full adders. Assume negative numbers are represented in 2's complement. (Hint: How do you make a 4-bit binary number into a 5-bit binary number, without making a negative number positive or a positive number negative?) b) A half adder is a circuit that adds two bits to give a sum and a carry. Give the truth table for a half adder, and design the circuit using only two gates. Then design a circuit which will find the 2's complement of a 4-bit binary number. Use four half adders and any additional gates. (Hint: Recall that one way to find the 2's complement of a binary number is to complement all bits, and then add 1.)parity generator design, construct and test a circuit that generates an even parity bit ffrom four messages bits . use XOR gates. adding one more XOR gate, expand the circuit so that it generates an odd parity bit also.Design a circuit called half adder (HA) which adds two 1-bit numbers, a,b and produces 2-bit output, c. a. Draw the truth table of the circuit.b. Find the Boolean functions of each bit of the output.c. Optimize the Boolean functions.d. Draw the logic diagram of the optimized circuits.e. Write the VHDL code of the logic diagrams by using “Dataflow modeling” method f. Simulate the circuits that you have designed in 1.e. Prepare a simulation waveform for you report.g. Produce the RTL schematic for the circuit that you have designed in 1.e.
- 5) below is the accuracy table showing the output values for two separate binary number entries (W and Y) with a length of two bits. Get the simplest form of output functions with the Karnaugh diagram. Draw a logic diagram of the circuit that performs the function of these functions.Describe in detail which functions a, b and C perform for 2-bit binary numbers in the input.i. Design full adder using two half adders. i. Draw the circuit diagram of 4-bit Ripple Carry Adder. ii. Draw logic diagram of half subtractor.We want to design a circuit to detect prime numbers.The input of the circuit is a 4-bit binary number and the output is a single bit and should show one when the number is prime and zero otherwise.B. Implement the circuit using a 4× 1 multiplexer and combinational logic gates.C. Implement the circuit using only one decoder and one OR gate. What is the size of the decoder you use?
- Construct a circuit diagram that checks whether the two numbers A and B are in the ratio of 2:3. Also, derive the final Boolean equation for the function. F = 1 if A: B = 2: 3,0 otherwise Here, A and B both are 3 bit binary numbers. NB: You cannot use the IC of comparator, meaning for the comparison part, you need to draw the gate level diagram. You can use block level diagrams for the rest of the parts.Write the expression for the logic circuit given in the figure as the sum of products. Simplify the expression obtained by applying Boolean Algebra theorems and axioms. Retrieve the capitalized expression using AND NOT (NAND) gates, with no restrictions on the number of entries.) Draw the circuit diagram of a full adder by using two blocks of half-adders and one basic logic gate. Write down the Boolean expressions for both the outputs of a full adder.
- 1. Assuming the full adder drives a load L=1.5, determine the critical path and its corresponding delay.2. Using this full adder to create an 8-bit ripple carry adder, what is the critical path delay of this 8-bit adder? (Assume unconnected ports are driving L=1.5 load)Draw the circuit diagram for Half adder and write the Boolean expression for Sum and Carry.6. i) For the circuit shown in Figure Q16, Find the logic functions of X and Y Figure Q1 ii) Simplify X and Y using Boolean algebra. hp ort delete