91Ó°ÊÓ

(Writing the Word Equivalent of a Check Amount) Continuing the discussion of the previous example, we reiterate the importance of designing checkwriting systems to prevent alteration of check amounts. One common security method requires that the check amount be both written in numbers and "spelled out" in words. Even if someone is able to alter the numerical amount of the check, it is extremely difficult to change the amount in words. Write a program that inputs a numeric check amount and writes the word equivalent of the amount. Your program should be able to handle check amounts as large as $99.99. For example, the amount 112.43 should be written as ONE HUNDRED TWELVE and 43/100

Step by step solution

01

Understand the Problem

The task is to convert a numeric check amount (up to $99.99) into its equivalent word form. The major part of the amount (before the decimal) should be written in words, while the decimal part should be expressed as a fraction of a hundred.

02

Identify Number Ranges

The program needs to handle two significant parts: numbers from 0 to 99 before the decimal and two-digit numbers after the decimal (cents). Specific terms like 'HUNDRED', and numbers 1 to 19, and multiples of ten (20, 30, ..., 90) need to be mapped to their word equivalents.

03

Create Number Conversions

For numbers 1 to 19, associate each with its word equivalent (e.g., 1 - 'ONE', 2 - 'TWO'). Similarly, for tens (20, 30, ..., 90), create a list that includes these in word form (e.g., 20 - 'TWENTY'). This will include the basic building blocks for larger numbers.

04

Decompose Numbers into Words

For amounts below 100, break down numbers into tens and units to convert into words. For example, '56' should be translated to 'FIFTY SIX' by combining 'FIFTY' (from tens) and 'SIX' (from units).

05

Format the Check Amount

Combine the word equivalent of the integer part of the check amount with the fraction representing cents. For example, if the amount is 43, it should be displayed as 'FORTY THREE and 43/100'.

06

Compose the Full Check Amount in Words

For amounts involving hundreds (e.g., 112), convert and combine word equivalents, adding 'HUNDRED' as needed. Example: '112' becomes 'ONE HUNDRED TWELVE'. Ensure the output includes both parts: 'ONE HUNDRED TWELVE and 43/100'.

Unlock Step-by-Step Solutions & Ace Your Exams!

• Full Textbook Solutions

  Get detailed explanations and key concepts

• Unlimited Al creation

  Al flashcards, explanations, exams and more...

• Ads-free access

  To over 500 millions flashcards

• Money-back guarantee

  We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Checkwriting Systems

Checkwriting systems play a crucial role in maintaining the security and integrity of financial transactions. This is achieved by utilizing a dual-format system in which check amounts are displayed both numerically and in written words. This method helps prevent any unauthorized changes, as it is quite challenging for someone to alter not only the numbers but also their spelled-out equivalent. This dual-format approach ensures that recipients and banks recognize any discrepancies and can address them promptly. The blending of numerical and written forms acts as a deterrent against potential fraud, offering more peace of mind to both the issuer and receiver.

Number to Words Conversion

Number to words conversion is a fundamental task within checkwriting systems. It involves transforming a numerical value into a corresponding set of words, which is essential for visually confirming the intended amount. This process is highly beneficial as it adds an additional layer of verification.
To effectively convert numbers into words, one must consider:

• Numbers from 1 to 19, each having unique word equivalents like 'ONE', 'TWO', etc.
• Multiples of ten such as 'TWENTY', 'THIRTY', etc., up to 'NINETY'.
• The use of 'HUNDRED' for hundreds places to articulate larger numbers.

Combine these elements logically to create word representations. For instance, the number 56 translates into 'FIFTY SIX' by combining 'FIFTY' and 'SIX'. This conversion is also applied to amounts involving decimals, displaying them as a fraction of a hundred, such as '43/100'.

C++ Programming

In C++ programming, implementing the conversion of numbers to words involves utilizing arrays or switch-case statements to map numbers to their corresponding words. C++ is particularly well-suited for this task due to its robust handling of arrays and logical flow control.
C++ provides the tools needed to:

• Decompose a number into its constituent parts: hundreds, tens, and units.
• Iterate through these parts using loops, ensuring each part is translated correctly.
• Convert and print each numerical segment sequentially, followed by formatting the decimal as a fraction of 100.

By handling these manipulations effectively, a C++ program can accurately translate figures like 112.43 into 'ONE HUNDRED TWELVE and 43/100', preserving the integrity of the checkwriting system.

Algorithm Design

Designing an algorithm to convert numbers to words requires a structured approach. A successful algorithm efficiently breaks down a numerical value into understandable segments and converts each segment into its word equivalent.
Essential steps in the algorithm design include:

• Identifying the number range, ensuring that the algorithm can handle both the units and tens effectively.
• Mapping individual numbers to words through data structures such as arrays or dictionaries, which store known values for easy access.
• Incorporating logical structures—like loops and conditional statements—to manage different numerical scenarios, especially those involving numbers in the tens and hundreds brackets.

With this thought-out methodology, the algorithm ensures reliable and repeatable conversions from numbers like 112 into word forms such as 'ONE HUNDRED TWELVE'. This approach not only reinforces the security in financial processes but also enhances the user experience by providing clarity and consistency.