a. Program to find sum of large numbers by adding each number to resultant: Program Plan: In function “addingLargeNumbers()”: It takes two stacks corresponding to two large numbers as parameters. Till any one of stack becomes empty, Pop each digit from both stacks and add them with carry. Push resultant digit into resultant stack and store carry digit in “carryy”. If first stack is not empty, till stack becomes empty, Pop each digit from stack and add them with carry. Push resultant digit into resultant stack and store carry digit in “carryy”. If second stack is not empty, till stack becomes empty, Pop each digit from stack and add them with carry. Push resultant digit into resultant stack and store carry digit in “carryy”. If carry is not “0”, push it into resultant stack. Return resultant stack. In function “main()”: Read number of large numbers to find sum and first two numbers from user. Compute sum of first two numbers by calling function “addingLargeNumbers()”. Read each number from user and add it with resultant number by calling function “addingLargeNumbers()”. After adding all numbers. Pop each digit from resultant stack and push into other stack to get digits of result in correct order. Print result.

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Answer 1

Question

Chapter 4, Problem 5PA

Program Plan Intro

a. Program to find sum of large numbers by adding each number to resultant:

Program Plan:

In function “addingLargeNumbers()”:

It takes two stacks corresponding to two large numbers as parameters.

Till any one of stack becomes empty,

Pop each digit from both stacks and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If first stack is not empty, till stack becomes empty,

Pop each digit from stack and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If second stack is not empty, till stack becomes empty,

Pop each digit from stack and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If carry is not “0”, push it into resultant stack.

Return resultant stack.

In function “main()”:

Read number of large numbers to find sum and first two numbers from user.

Compute sum of first two numbers by calling function “addingLargeNumbers()”.

Read each number from user and add it with resultant number by calling function “addingLargeNumbers()”.

After adding all numbers. Pop each digit from resultant stack and push into other stack to get digits of result in correct order.

Print result.

Program Plan Intro

b. Program to find sum of larger numbers by using vector of stacks:

Program Plan:

In function “addingLargeNumbers()”:

It takes a vector of stacks and number of elements in vector as parameters.

Compute maximum number of digits “maxsz” a number having in vector.

For each digit in first position to “maxsz” position

Add each digit of all stacks together and pop each digit from stack.

Replace old stack with new stack.

Add result with carry. Push resultant digit into resultant stack and store carry digit in “carryy”.

After adding all digits of all numbers, if carry is not “0”, push it into resultant stack.

Return resultant stack.

In function “main()”:

Read number of large numbers to find sum.

Read all numbers from user and store them in a vector.

Call function “addingLargeNumbers()” by passing vector and vector size as parameters. It will return resultant stack.

Print resultant stack.

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Answer 2

Question

Chapter 4, Problem 5PA

Program Plan Intro

a. Program to find sum of large numbers by adding each number to resultant:

Program Plan:

In function “addingLargeNumbers()”:

It takes two stacks corresponding to two large numbers as parameters.

Till any one of stack becomes empty,

Pop each digit from both stacks and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If first stack is not empty, till stack becomes empty,

Pop each digit from stack and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If second stack is not empty, till stack becomes empty,

Pop each digit from stack and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If carry is not “0”, push it into resultant stack.

Return resultant stack.

In function “main()”:

Read number of large numbers to find sum and first two numbers from user.

Compute sum of first two numbers by calling function “addingLargeNumbers()”.

Read each number from user and add it with resultant number by calling function “addingLargeNumbers()”.

After adding all numbers. Pop each digit from resultant stack and push into other stack to get digits of result in correct order.

Print result.

Program Plan Intro

b. Program to find sum of larger numbers by using vector of stacks:

Program Plan:

In function “addingLargeNumbers()”:

It takes a vector of stacks and number of elements in vector as parameters.

Compute maximum number of digits “maxsz” a number having in vector.

For each digit in first position to “maxsz” position

Add each digit of all stacks together and pop each digit from stack.

Replace old stack with new stack.

Add result with carry. Push resultant digit into resultant stack and store carry digit in “carryy”.

After adding all digits of all numbers, if carry is not “0”, push it into resultant stack.

Return resultant stack.

In function “main()”:

Read number of large numbers to find sum.

Read all numbers from user and store them in a vector.

Call function “addingLargeNumbers()” by passing vector and vector size as parameters. It will return resultant stack.

Print resultant stack.

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Answer 3

Question

Chapter 4, Problem 5PA

Program Plan Intro

a. Program to find sum of large numbers by adding each number to resultant:

Program Plan:

In function “addingLargeNumbers()”:

It takes two stacks corresponding to two large numbers as parameters.

Till any one of stack becomes empty,

Pop each digit from both stacks and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If first stack is not empty, till stack becomes empty,

Pop each digit from stack and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If second stack is not empty, till stack becomes empty,

Pop each digit from stack and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If carry is not “0”, push it into resultant stack.

Return resultant stack.

In function “main()”:

Read number of large numbers to find sum and first two numbers from user.

Compute sum of first two numbers by calling function “addingLargeNumbers()”.

Read each number from user and add it with resultant number by calling function “addingLargeNumbers()”.

After adding all numbers. Pop each digit from resultant stack and push into other stack to get digits of result in correct order.

Print result.

Program Plan Intro

b. Program to find sum of larger numbers by using vector of stacks:

Program Plan:

In function “addingLargeNumbers()”:

It takes a vector of stacks and number of elements in vector as parameters.

Compute maximum number of digits “maxsz” a number having in vector.

For each digit in first position to “maxsz” position

Add each digit of all stacks together and pop each digit from stack.

Replace old stack with new stack.

Add result with carry. Push resultant digit into resultant stack and store carry digit in “carryy”.

After adding all digits of all numbers, if carry is not “0”, push it into resultant stack.

Return resultant stack.

In function “main()”:

Read number of large numbers to find sum.

Read all numbers from user and store them in a vector.

Call function “addingLargeNumbers()” by passing vector and vector size as parameters. It will return resultant stack.

Print resultant stack.

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See solution

Answer 4

Question

Chapter 4, Problem 5PA

Program Plan Intro

a. Program to find sum of large numbers by adding each number to resultant:

Program Plan:

In function “addingLargeNumbers()”:

It takes two stacks corresponding to two large numbers as parameters.

Till any one of stack becomes empty,

Pop each digit from both stacks and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If first stack is not empty, till stack becomes empty,

Pop each digit from stack and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If second stack is not empty, till stack becomes empty,

Pop each digit from stack and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If carry is not “0”, push it into resultant stack.

Return resultant stack.

In function “main()”:

Read number of large numbers to find sum and first two numbers from user.

Compute sum of first two numbers by calling function “addingLargeNumbers()”.

Read each number from user and add it with resultant number by calling function “addingLargeNumbers()”.

After adding all numbers. Pop each digit from resultant stack and push into other stack to get digits of result in correct order.

Print result.

Program Plan Intro

b. Program to find sum of larger numbers by using vector of stacks:

Program Plan:

In function “addingLargeNumbers()”:

It takes a vector of stacks and number of elements in vector as parameters.

Compute maximum number of digits “maxsz” a number having in vector.

For each digit in first position to “maxsz” position

Add each digit of all stacks together and pop each digit from stack.

Replace old stack with new stack.

Add result with carry. Push resultant digit into resultant stack and store carry digit in “carryy”.

After adding all digits of all numbers, if carry is not “0”, push it into resultant stack.

Return resultant stack.

In function “main()”:

Read number of large numbers to find sum.

Read all numbers from user and store them in a vector.

Call function “addingLargeNumbers()” by passing vector and vector size as parameters. It will return resultant stack.

Print resultant stack.

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Answer 5

Chapter 4, Problem 5PA

Program Plan Intro

a. Program to find sum of large numbers by adding each number to resultant:

Program Plan:

In function “addingLargeNumbers()”:

It takes two stacks corresponding to two large numbers as parameters.

Till any one of stack becomes empty,

Pop each digit from both stacks and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If first stack is not empty, till stack becomes empty,

Pop each digit from stack and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If second stack is not empty, till stack becomes empty,

Pop each digit from stack and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If carry is not “0”, push it into resultant stack.

Return resultant stack.

In function “main()”:

Read number of large numbers to find sum and first two numbers from user.

Compute sum of first two numbers by calling function “addingLargeNumbers()”.

Read each number from user and add it with resultant number by calling function “addingLargeNumbers()”.

After adding all numbers. Pop each digit from resultant stack and push into other stack to get digits of result in correct order.

Print result.

Program Plan Intro

b. Program to find sum of larger numbers by using vector of stacks:

Program Plan:

In function “addingLargeNumbers()”:

It takes a vector of stacks and number of elements in vector as parameters.

Compute maximum number of digits “maxsz” a number having in vector.

For each digit in first position to “maxsz” position

Add each digit of all stacks together and pop each digit from stack.

Replace old stack with new stack.

Add result with carry. Push resultant digit into resultant stack and store carry digit in “carryy”.

After adding all digits of all numbers, if carry is not “0”, push it into resultant stack.

Return resultant stack.

In function “main()”:

Read number of large numbers to find sum.

Read all numbers from user and store them in a vector.

Call function “addingLargeNumbers()” by passing vector and vector size as parameters. It will return resultant stack.

Print resultant stack.

Answer 6

Chapter 4, Problem 5PA

Program Plan Intro

a. Program to find sum of large numbers by adding each number to resultant:

Program Plan:

In function “addingLargeNumbers()”:

It takes two stacks corresponding to two large numbers as parameters.

Till any one of stack becomes empty,

Pop each digit from both stacks and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If first stack is not empty, till stack becomes empty,

Pop each digit from stack and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If second stack is not empty, till stack becomes empty,

Pop each digit from stack and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If carry is not “0”, push it into resultant stack.

Return resultant stack.

In function “main()”:

Read number of large numbers to find sum and first two numbers from user.

Compute sum of first two numbers by calling function “addingLargeNumbers()”.

Read each number from user and add it with resultant number by calling function “addingLargeNumbers()”.

After adding all numbers. Pop each digit from resultant stack and push into other stack to get digits of result in correct order.

Print result.

Answer 7

Chapter 4, Problem 5PA

Program Plan Intro

a. Program to find sum of large numbers by adding each number to resultant:

Program Plan:

In function “addingLargeNumbers()”:

It takes two stacks corresponding to two large numbers as parameters.

Till any one of stack becomes empty,

Pop each digit from both stacks and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If first stack is not empty, till stack becomes empty,

Pop each digit from stack and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If second stack is not empty, till stack becomes empty,

Pop each digit from stack and add them with carry.

Push resultant digit into resultant stack and store carry digit in “carryy”.

If carry is not “0”, push it into resultant stack.

Return resultant stack.

In function “main()”:

Read number of large numbers to find sum and first two numbers from user.

Compute sum of first two numbers by calling function “addingLargeNumbers()”.

Read each number from user and add it with resultant number by calling function “addingLargeNumbers()”.

After adding all numbers. Pop each digit from resultant stack and push into other stack to get digits of result in correct order.

Print result.

Answer 8

Program Plan Intro

b. Program to find sum of larger numbers by using vector of stacks:

Program Plan:

In function “addingLargeNumbers()”:

It takes a vector of stacks and number of elements in vector as parameters.

Compute maximum number of digits “maxsz” a number having in vector.

For each digit in first position to “maxsz” position

Add each digit of all stacks together and pop each digit from stack.

Replace old stack with new stack.

Add result with carry. Push resultant digit into resultant stack and store carry digit in “carryy”.

After adding all digits of all numbers, if carry is not “0”, push it into resultant stack.

Return resultant stack.

In function “main()”:

Read number of large numbers to find sum.

Read all numbers from user and store them in a vector.

Call function “addingLargeNumbers()” by passing vector and vector size as parameters. It will return resultant stack.

Print resultant stack.

Answer 9

Program Plan Intro

b. Program to find sum of larger numbers by using vector of stacks:

Program Plan:

In function “addingLargeNumbers()”:

It takes a vector of stacks and number of elements in vector as parameters.

Compute maximum number of digits “maxsz” a number having in vector.

For each digit in first position to “maxsz” position

Add each digit of all stacks together and pop each digit from stack.

Replace old stack with new stack.

Add result with carry. Push resultant digit into resultant stack and store carry digit in “carryy”.

After adding all digits of all numbers, if carry is not “0”, push it into resultant stack.

Return resultant stack.

In function “main()”:

Read number of large numbers to find sum.

Read all numbers from user and store them in a vector.

Call function “addingLargeNumbers()” by passing vector and vector size as parameters. It will return resultant stack.

Print resultant stack.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 4 - Prob. 1E Ch. 4 - Prob. 2E Ch. 4 - Prob. 3E Ch. 4 - Prob. 4E Ch. 4 - Prob. 5E Ch. 4 - Prob. 6E Ch. 4 - Prob. 7E Ch. 4 - Prob. 8E Ch. 4 - Prob. 9E Ch. 4 - Prob. 10E

Solution Summary: The author explains how to find the sum of large numbers by adding each number to resultant program plan.

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Chapter 4 Solutions