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About this document
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- 4 pages
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- Computer Science
This document explains how to convert 4-digit hexadecimal numbers to binary in MIPS. It includes examples and code snippets for converting decimal to hex and then to binary. It also covers how to obtain an opcode using masks and shifts.
What's inside
- Hex to binary conversion
- Decimal to hex to binary conversion
- Opcode extraction using masks and shifts
- Algorithm to print binary numbers
- Example code in C
- MIPS assembly code for conversion
Who it is for: Students learning MIPS programming. (Undergraduate)
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Summary
Hexadecimal numbers are used in computer science. Students learn how to convert hexadecimal numbers to binary. The document explains methods and provides examples.
Hex to Binary
Hexadecimal numbers can be converted to binary. Each hex digit becomes 4 binary digits. An example shows how this works.
Decimal to Binary
Decimal numbers can be converted to binary via hexadecimal. Two methods are described. One method is to convert decimal to hexadecimal first.
Extracting Opcode
The opcode can be found in a fixed position. A mask and shift operation extracts the opcode. This is shown with an example.
MIPS Assembly Code
MIPS assembly code converts a decimal number to hexadecimal. The code uses loops and conditional branches. The code is explained step by step.
Key terms
- Hexadecimal
- A base-16 number system using digits 0-9 and letters A-F.
- Binary
- A base-2 number system using only digits 0 and 1.
- Opcode
- A part of a machine language instruction that specifies the operation to be performed.
- Mask
- A bitwise operation that isolates certain bits of a number.
- Shift
- A bitwise operation that moves bits to the left or right.
- MIPS
- A type of computer architecture used in some processors.
Questions this document helps with
- How do you convert hexadecimal to binary?
- What is the quickest way to convert decimal to binary?
- How do you extract an opcode from a hexadecimal number?
Summary written with AI from the document's text.
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