a) Why do Boolean functions play a central role in hardware architectures?
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a) Why do Boolean functions play a central role in hardware architectures?
b) Describe Composite Gates.
c) Describe Multiplexors and Demultiplexors? What is the importance of the use of the selection bit and the data bits?
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- I believe this problem is from computer systems/architecture. PLEASE TRY YOUR BEST. I NEED TO UNDERSTAND THIS PROBLEM I need you to design a digital logic circuit as a read only memory (ROM) [Decoder + OR gates]. A ROM accepts a three–bit number (x2 x1 x0) and generates an output binary number equal to the input squared + 2. Here is the equation: A = x2 + 2, with input (x) : 0 ≤ (x) ≤ 7 (a) Try to set–up the truth–table [Binary inputs: (x); Binary outputs: ..., A2, A1, A0] (b) What is the size of the initial (unsimplified) ROM ? (c) What is the size of the final (simplified) ROM ?Provide an overview of Arithmetic Logic Unit (ALU) instructions and their significance in computer architecture.5. What are the advantages and disadvantages of the MUX and the decoder methods over conventional methods of implementing a function using logic gates?
- Can you please help design or draw an 8 bit multiplier? Using logical gate!1. Design a SINGLE 4-bit ALU that performs Arithmetic (add, subtraction), and Logicoperations (AND, OR). The following control signals are to be considered:• A/S: add/subtract (0:add, 1:subtract)• A/O: and/or (0:and, 1:or)• A/L: arithmetic/Logic (0:arithmetic, 1:logic)• R/W: read/write signal (0:read, 1:write) The details of each control signal (Unit) are as follows. Unit 1 (A/S) - Design a 4-bit adder/subtractor that accepts two 4-bits numbers, A andB, and either add them up (A + B) or subtract them (A – B) depending on a controlsignal A/S (when the control signal is 0 perform ADD, otherwise if the signal is 1 thenperform SUB). The result will be stored in C. Unit 2 (A/O) - Design a 4-bit AND/OR unit that accepts two 4-bits numbers, A and B,and either AND them or OR them depending on a control signal A/O (when the controlsignal is 0 perform AND, otherwise if the signal is 1 then perform OR – bitwise logicaloperation). The result will be stored in C. Unit 3 (A/L) - Design a 4-bit ALU…1a. Draw a circuit diagram using appropriate logic gates to implement a 3-bit comparator. Identifythe gates used in implementation and show its usage to compare two 3-bit words by writing thetruth table. b. Write the Boolean expression for the following 4 input circuit. Include sub-expressions foroutputs of each gate. c. Complete a truth table for the previous logic gate circuit in part b. d. Write the Boolean expression for the new circuit below. Then, simplify the following logic circuitusing the theorems in Boolean algebra. Show the steps clearly and specify the law used in eachstep. Finally draw the simplified circuit diagram.
- 1. Design a 4-bit ALU that performs Arithmetic (add, subtraction), and Logicoperations (AND, OR). The following control signals are to be considered:• A/S: add/subtract (0:add, 1:subtract)• A/O: and/or (0:and, 1:or)• A/L: arithmetic/Logic (0:arithmetic, 1:logic)• R/W: read/write signal (0:read, 1:write) The details of each control signal (Unit) are as follows.Unit 1 (A/S) - Design a 4-bit adder/subtractor that accepts two 4-bits numbers, A andB, and either add them up (A + B) or subtract them (A – B) depending on a controlsignal A/S (when the control signal is 0 perform ADD, otherwise if the signal is 1 thenperform SUB). The result will be stored in C.Unit 2 (A/O) - Design a 4-bit AND/OR unit that accepts two 4-bits numbers, A and B,and either AND them or OR them depending on a control signal A/O (when the controlsignal is 0 perform AND, otherwise if the signal is 1 then perform OR – bitwise logicaloperation). The result will be stored in C.Unit 3 (A/L) - Design a 4-bit ALU using Unit…2. 7.4.8 Circuit analysis. Give the number of switches in each of the following. a. Register bit b. Memory bit c. 8-bit register d. Memory with sixteen 8-bit words e. Clock Count every switch (for example, a 2-way AND gate has four switches).Describe the SBB instruction in further detail.
- Computer Science 1) Draw the diagram of an N-bit ALU with these functions: Addition, NAND, NOR, XOR and NOT. (Be careful about Function/Select bit count and the size of the required multiplexer). Also draw a truth table 2) Draw the diagrams of for the following digital blocks that operate on 4-bit binary numbers: (a) an arithmetic left shifter (b) an arithmetic right shifter (c) a logic right shifter 3). Show how a 3-bit binary number is multiplied with a 2-bit binary number. The inputs are: A[2 : 0], B[1 : 0]; and the outputs are P[4 : 0]. Draw the diagram for the 3-bit-by-2- bit multiplier. Use a sample set of binary numbers and show how they appear on the multiplier inputs/outputs.Find the values of the flags (carry ,sign ,zero, overflow) of the processor status register for the givenexample of two 16 bit no’s in Hex (ABCD + 5678) and draw the circuit diagram also.Type your question here • Design a 3-bit synchronous counter using J-K FFs only.