Question

Application/ Topic : Arithmetic operations in binary number system

Now,  1. Give a complete plane to implement the application into a computer program with use of flowchart

2. Write an appropriate algorithm

3. Use at least two inputs to test the algorithm. You need to give a trace table for each input.

Answer 1

Flow chart for ADD and SUBTRACT operation:

The flow chart is divided into two parts one is addition and other is subtraction

First check for the sign of two operands by performing XOR operation

Subtract Add Mindend in A sobtrahend in B Adend in B. Augend na I AS OBS A ABS 1 A=Bg AstBs EAC A+Bt) AUFEO FAAAB AVFEE E A>B А AE I ACATI Ast AS Asko End result in As and A O 1

Result of the Arithemetic operation will be in As and A.

Flow Chart for MULTIPLICATION OPERATION:

The final product is available in both A and Q, with A holding the most significant bits and Q holding the least significant bits.

find the below image for flowchart and example

Multiply operation - Multiplicand in B Multiplice in a As Q Bs QSC Q Bs ACO ECO Scen-1 = EA A-4-В shr EAQ SCE SC-1 #0 'sc END (product is in AQ)

DIVIDE OPERATION:

Below image represents the flow chart

shl represents shift left

sc is sequence counter

Quotient is in Q and Remainder is in A.

flow Chart for divide operation Dividend in AQ devisor in B Ost As OBs Shl EAQ SCEN-L EA <A+B+ EARA+Bt I AEA+Bt) E 1 A ZB ACB LAJB EAE A+B DUFEI EAL AAB ALB=0 EACAIB One DVFLO 7 SCE SC-1 +0 END END Quotient is in a remainder is in A (divide derflow)