Comprehensive MIPS Program for Number Conversion

What does the MIPS program do for number conversion?

The MIPS program provides a comprehensive solution for converting numbers between different representations. It can convert binary numbers to decimal and hexadecimal, decimal numbers to binary and hexadecimal, and hexadecimal numbers to binary and decimal.

Binary to Decimal and Hexadecimal Conversion

Binary numbers are base-2 numbers made up of only 0s and 1s. Converting binary to decimal involves multiplying each digit by its corresponding power of 2 and summing the results. The decimal result represents the equivalent value. To convert binary to hexadecimal, the program groups the binary digits into sets of four and maps each set to its corresponding hexadecimal digit.

Decimal to Binary and Hexadecimal Conversion

Decimal numbers are base-10 numbers that we commonly use. Converting decimal to binary in the MIPS program involves dividing the decimal number by 2 repeatedly and recording the remainders to get the binary result. The conversion to hexadecimal follows a similar process as decimal to binary, but with base-16.

Hexadecimal to Binary and Decimal Conversion

Hexadecimal numbers are base-16 numbers using digits 0-9 and letters A-F. To convert hexadecimal to binary, each digit is mapped to its four-bit binary representation. This process is done for all digits in the hexadecimal number. Converting hexadecimal to decimal involves multiplying each hexadecimal digit by the corresponding power of 16 and summing the results.