b. Design a circuit that has a 4-bit binary input and has the following three outputs and defined as follows. If the lower order 2 bits are 00, then the output will be addition of the higher order 2 bits. If the lower order 2 bits are 11, then the output will be the AND operation of the higher order 2 bits.

b. Design a circuit that has a 4-bit binary input and has the following three outputs and defined as follows. If the lower order 2 bits are 00, then the output will be addition of the higher order 2 bits. If the lower order 2 bits are 11, then the output will be the AND operation of the higher order 2 bits.

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

Related questions

Q: Design the simplest circuit that has three inputs, a, b, and c, which returns an output value of 1…

A: solution:-

Q: Create a table which shows the outputs of the circuit in signed decimal representation when the…

Q: the operations corresponding to the gates in the gate table

A: In the above question, a statement is mentioned

Q: 2. The following figure shows the four-bit Subtractor. Your inputs for this combinational circuit…

A: BELOW ? STEP BY STEP COMPLETE SOLUTION REGARDING YOUR PROBLEM WITH EXPLANATIONS :

Q: 4 bit 2's Complement Multiplier INPUT A: 4 bit 2's Complement number INPUT B: 4 bit 2's Complement…

A: What is Multiplexer? A multiplexer is a combinational circuit that has 2n input lines and a single…

Q: Design a circuit that displays the letters A through J on a seven-segment indicator. The circuit has…

A: Answer: I have solve clear and clean because this type question little bit lengthy please go steps…

Q: 4 bit 2’s Complement Multiplier INPUT A: 4 bit 2’s Complement number INPUT B: 4 bit 2’s Complement…

A: The solution is given below for the above given question:

Q: TOllowing Tigure snowsS the fo circuit are A = 1 and B = 6. What is the outputs S3, S2, S1, and So?…

A: Initial value of Co = 1 A=1 = 0001 That is, A3=0, A2=0, A1=0, A0=1 B= 6 = 0110 So, B3=0, B2=1,…

Q: PROCEDURE : You are to design a 4-bit arithmetic unit that consists of a 4-bit adder/subtractor…

A: We can perform addition and subtraction in the same circuit using full adders. Since there is 4-bit…

Q: design an odd-parity circuit. This is a circuit that has three inputs and one output. The circuit…

A: To construct the circuit for a given input and output, first the truth table must be constructed for…

Question

b. Design a circuit that has a 4-bit binary input and has the following three outputs and
defined as follows.
If the lower order 2 bits are 00, then the output will be addition of the higher order 2
bits.
If the lower order 2 bits are 11, then the output will be the AND operation of the
higher order 2 bits.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Truth table

VIEW

Circuits

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Fundamentals of Boolean Algebra and Digital Logics

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

Q19/ a combinational circuit has four inputs (A, B, C, D), which represent a binary- coded- decimal digit. The circuit has two groups of four outputs S, T, U, V, and W, X, Y, Z each group represents a BCD digit. The output digits represent a decimal number which is 1 more than four times the input number. For example if ABCD=0011, the output are 0001 0011. Assume that invalid BCD digits do not occur as inputs. a- Construct the truth table b- Write minterms and max terms for all output C- Find SOP and POS for all output
2. Two bit numbers A (A1 AO) and B (B1 BO) are to be added to form the sum (S2 S1 SO). A1, B1 and S2 are the most significant bits of the number concerned. Using Quine-McCluskey method, determine the simplest SOP form of SO, S1 and S2. Implement the circuit using SOP. Note: There are 3 outputs. Truth table guide; Just to give you hint on how to complete the truth table. You need to complete the table from (A1A0B1B0: 0000 to 1111) A1A0B1BO S2S1S0 comments 0000 000 0+0=0 0101 010 1+1=2 1111 110 3+3=6 Hint: This problem does not have don't care
Design a circuit that has two inputs X, and S, where X represents an 8-bit BCD number, S is a sign bit. The circuit has one output Y, which is the Binary representation of the signed-magnitude BCD number. A negative output is represented in the Binary 2’s- complement form. You need to think of two design alternatives. Submission guidelines: 1. You should write a report that at least contains the following sections: 1. Problem definition. 2. Design alternatives : 2.1. Alternative 1 block diagram 2.2. Alternative 2 block diagram 3. Design selection criteria 4. Detailed circuit design of the selected alternative. 5. Verilog modules, and simulation results for all modules, and for the whole circuit of the selected alternative .
Design a code converter that converts an unsigned number a into its negative 2's complement representation -a. Specifically, the circuit has two inputs: a1 and ao, and three outputs: b1 and bo (the equivalent to -a) and valid, which is 1 when -a can be represented in 2's complement and O otherwise. 1. Write the truth table for the code converter. 2. Give the simplest SOP expressions for the functions b1, bo, and valid.
4 bit 2’s Complement Multiplier INPUT A: 4 bit 2’s Complement number INPUT B: 4 bit 2’s Complement number OUTPUT: the product of A x B represented as a 8 bit 2’s Complement number You are only allowed to use the basic gates: NOT, AND, OR, XOR. You may however, use these basic gates to build your own custom circuits (i.e. Adder). You are NOT ALLOWED to use Logisim’s built in circuits. Each custom circuit is to be implemented as a sub-circuit as discussed in class. PART 1: Build a 4 bit controlled 2’s Complement Inverter as a subcircuit named 4BitInverter
4. The following figure shows the four-bit Adder-Subtractor. Your inputs for this combinational circuit are A = 5, B = 6 and M = 1. What is the outputs S3, S2, S1, and S0? You have to show how to get the outputs by indicating each carry bit. (Note: You should show all the steps to receive full credits)
Design a 2-bit comparator. The comparator input has two 2-bit numbers A and B. A consists of 2 bits a1 and a0. B consists of 2 bits b1 and b0. The comparator has three outputs Z2, Z1, Z0. a. Show the truth table for this comparator. b. Write the logic equation for Z2 that are true if only if A < B c. Write the logic equation for Z1 that are true if only if A > B d. Write the logic equation for Z0 that are true if only if A = B e. Show the logic design for this comparator using the minimum number of AND, OR, and Inverters. f. Verify your design using Logisim.
a. Draw a block diagram of a 3-bit by 3-bit binary multiplierb. How many AND gates are require to multiply two three bit numbers?
4 bit 2's Complement Multiplier INPUT A: 4 bit 2's Complement number INPUT B: 4 bit 2's Complement number OUTPUT: the product of A x B represented as a 8 bit 2's Complement number You are only allowed to use the basic gates: NOT, AND, OR, XOR. You may however, use these basic gates to build your own custom circuits (i.e. Adder). You are NOT ALLOWED to use Logisim's built in circuits. Each custom circuit is to be implemented as a sub-circuit as discussed in class. PART 2: Build a 8 bit controlled 2's Complement Inverter as a subcircuit named 8BitInverter
You are asked to design a circuit to detect if an overflow occurs when subtracting two integers represented in two's complement: Z= X - Y. Let Sz, Sx, and Sy be the sign bit for Z, X, and Y respectively, and they are fed as input to the circuit. Let O be the output bit of the circuit, whose value is 1 if an overflow happens, and 0 if otherwise. a) Build the truth table for O as a Boolean function of Sx, Sy, and Sz. b) Write the canonical expression (sum-of-product) for the Boolean function defined in the part a. c) Implement the Boolean expression defined in part b with a circuit by using AND, OR, and NOT gates. Draw the wiring diagram.
10. Find the output of the given circuits. a. b. X y Z X y Z X y Z X o
1. The following figure shows the four-bit Adder. Your inputs for this combinational circuit are A = 3 and B = 5. What is the outputs S3, S₂, S₁, and So? You have to show how to get the outputs by indicating each carry bit. (Note: You should show all the steps to receive full credits) CA A3 FA B3 S3 C3 A₂ B₂ FA S2 C₂ A₁ B₁ FA S₁ C1 Ao Bo FA So Co