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The algorithm of Figure 10.5 always produces a string of four characters independent of the sign and magnitude of the integer being converted. Devise an algorithm that eliminates unnecessary characters in common representations, that is, an algorithm that does not store leading 0s nor a leading + sign.

The algorithm of Figure 10.5 always produces a string of four characters independent of the sign and magnitude of the integer being converted. Devise an algorithm that eliminates unnecessary characters in common representations, that is, an algorithm that does not store leading 0s nor a leading + sign.

Database System Concepts
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
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The algorithm of Figure 10.5 always produces a string of four characters independent of the sign and magnitude of the integer being converted. Devise an algorithm that eliminates unnecessary characters in common representations, that is, an algorithm that does not store leading 0s nor a leading + sign.

 

I have attached figure 10.5, can you please give me direction on how to solve this problem? Thank you! 

## Binary-to-ASCII Conversion Subroutine ### Overview This subroutine converts a 2's complement integer within the range -999 to +999, located in register R0, into an ASCII character string. The result consists of a sign digit followed by three decimal digits, and the string is stored in memory starting at ASCIBUFF. ### Detailed Explanation #### Initialization and Storage - **Lines 01-06**: Save registers R0, R1, R2, and R3 to memory for later restoration. - **Lines 07-0F**: Load the base address of the ASCII buffer into R1 and prepare for sign conversion. #### Sign Handling - **Lines 09-11**: Check the sign of the number. If negative, load the ASCII minus character; otherwise, load ASCII plus. - **Lines 12-15**: If the number is negative, convert it to its absolute value for further processing. #### Converting Hundreds Digit - **Lines 18-1D**: Determine the hundreds digit by repeatedly subtracting 100 (stored in Neg100) from the absolute value, counting how many subtractions are done. - **Lines 1F-21**: Store the ASCII representation of the hundreds digit. #### Converting Tens Digit - **Lines 23-2B**: Similar to the hundreds conversion but for tens. Subtract 10 to determine the tens digit. #### Converting Ones Digit - **Lines 2C-32**: Convert the final remaining value to the ones digit. #### Memory and Value Definitions - **Lines 34-3B**: Define constant values: - `ASCIIplus` and `ASCIIminus` for sign characters. - `ASCIIoffset` to convert numbers to ASCII. - `Neg100` and `Pos100` for 100 and -100 conversions. - Memory allocations for saving registers and the ASCII buffer. ### Usage This subroutine is essential for systems requiring the conversion of binary integers to ASCII strings, facilitating readability and display on user interfaces. This conversion method ensures correct handling of sign and digit positions, making it reliable in practice. ### Figure 10.5 This figure represents the actual implementation code for the discussed conversion process, with comments explaining each key operation step-by-step.
Transcribed Image Text:## Binary-to-ASCII Conversion Subroutine ### Overview This subroutine converts a 2's complement integer within the range -999 to +999, located in register R0, into an ASCII character string. The result consists of a sign digit followed by three decimal digits, and the string is stored in memory starting at ASCIBUFF. ### Detailed Explanation #### Initialization and Storage - **Lines 01-06**: Save registers R0, R1, R2, and R3 to memory for later restoration. - **Lines 07-0F**: Load the base address of the ASCII buffer into R1 and prepare for sign conversion. #### Sign Handling - **Lines 09-11**: Check the sign of the number. If negative, load the ASCII minus character; otherwise, load ASCII plus. - **Lines 12-15**: If the number is negative, convert it to its absolute value for further processing. #### Converting Hundreds Digit - **Lines 18-1D**: Determine the hundreds digit by repeatedly subtracting 100 (stored in Neg100) from the absolute value, counting how many subtractions are done. - **Lines 1F-21**: Store the ASCII representation of the hundreds digit. #### Converting Tens Digit - **Lines 23-2B**: Similar to the hundreds conversion but for tens. Subtract 10 to determine the tens digit. #### Converting Ones Digit - **Lines 2C-32**: Convert the final remaining value to the ones digit. #### Memory and Value Definitions - **Lines 34-3B**: Define constant values: - `ASCIIplus` and `ASCIIminus` for sign characters. - `ASCIIoffset` to convert numbers to ASCII. - `Neg100` and `Pos100` for 100 and -100 conversions. - Memory allocations for saving registers and the ASCII buffer. ### Usage This subroutine is essential for systems requiring the conversion of binary integers to ASCII strings, facilitating readability and display on user interfaces. This conversion method ensures correct handling of sign and digit positions, making it reliable in practice. ### Figure 10.5 This figure represents the actual implementation code for the discussed conversion process, with comments explaining each key operation step-by-step.
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