Problem 2 Generate the PLA programming table for the combinational circuit that squares a 3-bit binary number. Minimize the number of product terms.
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- 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.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.)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.
- Q2) A) Express the decimal number (- 30 ) as an 8-bit number in 2's complement form, and verifying its decimal value. B) Design an Octal-to-Binary (8-to-3) Encoder, and then draw a block diagram for Octal-to- Binary Encoder.The upper 16 -bit binary count value are displayed on the four seven -segemnt displays as four hexadecimal digits. Hexadecimal values aren't good for human perception. How would you suggest the counter design be modified so that only decimal count values are displayed.Design and Implementation of Binary to BCD (binary coded Decimal ) notation using Verilog code.
- 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?Design a 3-bit counter that counts the following sequence: 7,5, 3. 1.0.7, 5. 3, 1, 0, 7. etc. Using the sequential design technique that starts from a state diagram, draw the state table. minimize the logic. and draw the final circuit. The outputs of logic circuit are 2 = Qo Q1. I, = Qo.Qi + Qo.Qi, Io = Qo.Q2, Cont2 = Qj Q2 Cont1 = Qu Q2. Cont0 = Q2 Qo.Q1. h = Qo.Qi + Qo.Q1, Io = Qo Qz Cont2 = Q, Q2 Contl = Qo Q2 Cont0 = Q2 Qo Qı Ij = Qo.Q, + Q».Qı, Io = Qo. Q2. Cont2 = Qj Q2. Contl = Qo.Q2. Cont) = Q2 L = Qo.Qı. I¡ = Q. Qj + Qu Q Io = Qv.Qz Comt2 = Q, Q, Contl = Q Q2 Cont0 = Q2 !! fefsto How much will be per-product cost and thCalculus Design a circuit that generates even parity for a 4-bit input: a. Using a single multiplexer with least number of inputs (3 Marks). b. Using exclusive-OR gates only
- 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.Consider the following instruction breakdown that decomposes an instruction into 4 parts: OPCODE DST SRC IMM OPCODE specifies the Operation's CODE. DST specifies a DeSTination register. SRC specifies a SouRCe register. IMM specifies a 2's complement value (that's IMMediately available as part of the instruction). Assume the architecture has 32-bit instructions, 231 opcodes, and 32 registers. A.) What is the minimum number of bits required to represent an OPCODE? 8 B.) What is the minimum number of bits required to represent a register? 3 C.) What is the maximum number of bits that can be used to represent the IMM value? D.) What is the largest positive value in base 10 that can represented by the IMM value?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