You are tasked with designing the arithmetic unit of the following ALU. The ALU operations are: • A-1 A+1 A+B A-B A) if you had access to a Full added, what is the most simplified expression for the B-logic (The block that changes 8 before connecting to the full adder)? This block should have 3 inputs $1 50 B. and Y is the output that gets connected to the Full adder. B) What is the simplified expression for the block connecting 51 50 B to Cin of the Full Adder. OAYS1 SO4 SOB+51 SO B B) Cin - 50 A) Y 51' 50+50' B+51 50 8 B) Cin-50 OA) Y 51 50+ 50 B+ S1 SO B B) Cin-50 A) Y S1 50+50 B+51 50 B B) Cin-50 M

You are tasked with designing the arithmetic unit of the following ALU. The ALU operations are: • A-1 A+1 A+B A-B A) if you had access to a Full added, what is the most simplified expression for the B-logic (The block that changes 8 before connecting to the full adder)? This block should have 3 inputs $1 50 B. and Y is the output that gets connected to the Full adder. B) What is the simplified expression for the block connecting 51 50 B to Cin of the Full Adder. OAYS1 SO4 SOB+51 SO B B) Cin - 50 A) Y 51' 50+50' B+51 50 8 B) Cin-50 OA) Y 51 50+ 50 B+ S1 SO B B) Cin-50 A) Y S1 50+50 B+51 50 B B) Cin-50 M

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Similar questions

5. Design a logic circuit with 3-bit inputs A, B, C that produces an output W, X, Y, Z that is equal to the input + 6 (110) in binary. For example If the input is equal to 5 decimal then the output should be 5+6=11 decimal, the circuit will take all numbers in binary form and the output will also be in binary (101)B + (110)B=(1011)B
Question: A logic circuit has 4 inputs and an output. The Output will be high for binary input combinations of only your last 3 digits (Highlighted) of your ID. For example, if your ID is: 20-43460-1 then output will be high only for binary input combinations of 4, 6 and 0. Now, a) Construct a truth table for the system. b) Write SOP expression and POS expression from the truth table. c) Find standardized SOP expression and standardized POS expression for the system. d) Find the simplified expression using Boolean algebra and De-Morgan's theorem. e) Find simplified expression using Karnaugh-Map. f) Design the most simplified expression using basic gates. g) Design the most simplified expression using both the universal gates. h) Design the most simplified expression using RTL logic. i) Design the most simplified expression using DTL logic.
2. Design a combinational circuit with three inputs, x, y, and z, and three outputs, A, B, and C. When the binary input represents any of the decimal digits 1, 2, 3, or 6, the binary output should represent the decimal digit that is one greater than the input, that is 2, 3, 4 and 7, respectively. Similarly, when the binary input represents any of the digits 4, or 7, the binary output should represent the digit that is two less than the input. The remaining two inputs, that are the binary representations of the decimal digits 0 and 5 never occur. Draw the truth table, and give all the minimal forms for the functions that represent the outputs A, B, and C. U
1. Design a combinational circuit with three inputs and one output. The output is 1 when the binary value of the input is less than 3. The output is 0 otherwise. Show truth table. 2. Design a combinational circuit with three inputs x,y,z and three outputs, A,B, C. When the binary input is 0, 1, 2 or 3, the binary output is one greater than the input. When the binary input is 4,5, 6 or 7, the binary output is one less than the input. Show truth table.
1. Design a 16*1 MUX using 4 *1 MUXs. 2. Design a 4-bit ALU to perform the following functions:A + B, A - B, A + 1, A’ . B’ ,A OR B, A XOR B, A AND B 3. Design a combinational logic that compares X and Y, where X = X1X0 and Y = Y1Y0; the output of combinational logic is 1, when X < Y; otherwise the output is 0.(a) Show truth table.(b) Find output function using K-map. 4. Design a logic circuit with three inputs and one output; the output generates even parity bit of the inputs.(a) Show the truth table. (b) Find output function. (c) Draw logic circuit.
Construct the circuit of the following function using 3:8 decoder and 2:4 decoder only: F(A,B.C.D) =(A+D)(C+D) NB1: You must use both the decoders. Your circuit should be cost efficient, meaning you have to use the lowest number of components possible. NB2: You can use external gates for connecting inputs/outputs if required.
a. Draw a circuit which produces Sum and CarryOut from inputs A and B (this circuit is known as a half adder). You should use exactly one AND gate and one XOR (exclusive or) gate. b. Give the truth table for a full adder (which incorporates a carry-in bit to the sum of A and B):
1. The following expression uses an XOR gate. Recall that XOR is a combination of AND, OR and NOT gates. Remember that XOR is the lowest order of operator precedence. F = X * YOY+Z a. Draw the circuit as is with the XOR gate. b. Rewrite the expression replacing the XOR with its equivalent AND/OR/NOT gates. c. Draw the circuit for the revised expression in part b. d. How many total gates are used in your circuit for part a and how many for part b/c? Note that a NOR as 2 gates, an OR and then a NOT.
1 The following diagram represents a multiplier circuit that takes 2-bit binary numbers A1 A0 and BB1 B0 and produces an output binary number Y3 Y2 Y1 YO (LSB) that is equal to the arithmetic product of the two input numbers. Design this logic circuit using a decoder (You can use any type of a decoder). A1 Y3 Ao Multiplier Circuit Y2 (LSB) В Bo (LSB) |(LSB) Y,
Question 2: A combinational circuit has 4 inputs (A, B, C, D) and 1 output (F). ABCD represent a majority function. The output of the majority function is equal to 1 if the input variables have more 1's than O's, otherwise the output is 0. a. Construct the truth table of the required circuit. b. Implement the minimized expression of F using 3-level all NAND gate circuit. Implement a 2-1Multiplexer using three-state buffers.
Sketch the Combination of LUTS which implement the logic function: f= X₁ X₂ + X₁ X2 indicating the required binary code.
9. A multiplexer is a switching circuit that produces as its single output one of a set of inputs based on the value of some additional inputs called the controls. Given that 0, 1, 2, and 3 in two-bit binary are 00, 01, 10, and 11, respectively, draw a 2-bit multiplexer using the three basic logic gates with inputs xo, x1, x2, and x3, and two control inputs co and c1. Setup the circuit so that x; is the single output, where i if the value of the 2-bit integer (cico)2. NOTE: This is not a Boolean product; instead it's the binary representation of an integer where c1 is the most significant bit and co is the least significant bit.