Question: Design a circuit that can add and subtract two 2-bit two's complement binary numbers and check for overflow. Your circuit should have a 2-bit input

Design a circuit that can add and subtract two 2-bit two's complement binary numbers and check for overflow. Your circuit should have a 2-bit input A = a2a1, a 2-bit input B = b2b1, a 1-bit input M, a 2-bit output S = s2s1, and a 1-bit output OF. When M = 0, the output S should be the sum of A and B (i.e. S = A + B), and when M = 1 the output should be S = A - B. The output OF should be 1 if overflow occurs.

a. Create a truth table for the circuit described above. The truth table has been created below with a few filled out as examples, fill out the rest of the table (on excel or on paper).

b. Draw the resulting circuit diagram.

Design a circuit that can add and subtract two 2-bit two's complement

A1 AO B1 BO B1' BO Cout 1 Cout O s1 So OF English Description of Row MODE PLUS (0) PLUS (0) PLUS (0) PLUS (0) PLUS (0) PLUS (0) PLUS (0) PLUS (0) PLUS (0) PLUS (0) PLUS (0) PLUS (0) PLUS (0) PLUS (0) PLUS (0) PLUS (0) MINUS (1) 0 0000 0 MINUS (1) 0 MINUS (1) | 0 1 MINUS (1) 0 01 MINUS (1) 0 1 0 MINUS (1) 0 10 1 1 0 0 0 0x X o 00 1x X 0 0 1 1x x 0 1 0 0x x 0 1 0 1x X 0 1 1 0x X 0 1 1 1x X 1 0 0 0xX 1 0 0 1 x x 1 0 1 0x X 1 01 1x X 1 1 0 0x X 1 1 0 1x X 11| 1 x x 1 1 1 1x X 0 0 0 1 1 0 11 "1+1=2 OVERFLOW!" 0 "-2 + 0 =-2" 0 1 1"-1+ -2-3 OVERFLOW!" 0 01 1 1 Cannot represent +2 in two bits 0 1"O+2 2 OVERFLOW Special Case 1 0 1 0 0 0 Cannot represent +2 in two bit MINUS (1) 01 o MINUS (1) 0 11 MINUS (1) 1 00 00 0 MINUS (1) 1 0011 1 MINUS (1) 1 0101 0 MINUS (1) 1 01 1 MINUS (1) 1 10 MINUS (1) 1 10 MINUS (1) 1 11 MINUS (1) 1 11 10 1 1 0 1 Cannot represent +2 in two bits. 1 1 1 0 1 0 Cannot represent +2 in two bits

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Assignment due on 06.20.2016 at 11:30PM Please see the attached 11 question set. Head-First Company plans to sell 5,100 bicycle helmets at $78 each in the coming year. Product costs include: Direct...

1. Design a transistor circuit for a 3-input AND gate. 2. A NAND gate is a gate that produces no voltage only when both in- puts have voltage. In all other cases the gate outputs voltage. Give the...

i need help with the parts marked in green. thank you 2) Constructing a 2-bit full-adder: 1 - Constructing a 2-bit full adder will require XOR, OR, and AND gates. Obtain a 74LS86 XOR chip, one 74LS32...

Assume you shall design a digital circuit to add two binary 4-bit numbers. Both numbers are given in One's complement. One of these numbers can be negative. In these numbers b0 and a0 indicate the...

Project Overview: Design a 4 - bit ALU capable of executing the following operations: Addition of two 4 - bit binary numbers Subtraction of two 4 - bit binary numbers Increment operation on a single...

Design and Implementation of a 4 - Bit ALU for Arithmetic Operations Objective: Project Overview: Design a 4 - bit ALU capable of executing the following operations: Addition of two 4 - bit binary...

Q4. A70 B7-0 8 BCD to Binary BCD to Binary Asien 18 Z Bsien 1 MG 8 Binary to 2's complement Binary to 2's complement Asign Overflow detector 8-bit adder E, E2 O We want to design a basic decimal...

Question: For the unit 3 assignment, there will be three tasks: First you must create a logic circuit using... For the unit 3 assignment, there will be three tasks: First you must create a logic...

pleaseprovide photos First you must create a logic circuit using only basic gates such as AND, OR , NOR, NAND, NOT, etc. to implement an ADDER capable of adding two 4 bit binary numbers. Second you...

Suppose CAPM holds, and the beta of the equity of your company is 2.33. The expected market risk premium (the difference between the expected market return and the risk-free rate) is 6.00% and the...

Enter the following column headings across the top of a sheet of paper: Enter the transaction/adjustment letter in the first column, and show the effect, if any, of each of the...

acquiring firm, A , seeks to bery a target firm, T . The acquiring firm has better managers. The value of the target firm, if acquired by A , is 5 1 0 5 milian. The valae he target firm under its...

Save Answer 10 points Blasco's has a market value equal to its book value. Currently, the firm has excess cash of 1,332, other assets of 11,674, and equity of E7,200. The firm has 1200 shares...

3. Go to General Electrics Web site at www.gecareers.com. Review the entry-level leadership and experienced leadership programs. Overall, what type of development activities are included in these...

5. Go to www.dukece.com, a provider of custom corporate education programs. Click on Client stories and read one of the client success stories. Prepare a brief summary of the business issue,...

2. Read the article, Baby Boomers Seek New Ways to Escape Career Claustrophobia, in The Wall Street Journal, June 24, 2003: B1. It describes the challenges of motivating managers who have limited...