Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
The chapter covers essential concepts of digital arithmetic, specifically focusing on BCD addition and subtraction using the excess-3 code, various binary multiplication methods, binary division techniques, and floating-point arithmetic. It illustrates the processes through numerous examples and details key algorithms like repeated left-shift and add, repeated add and right-shift for multiplication, and both repeated right-shift and subtract along with repeated subtract and left-shift algorithms for division. Additionally, the chapter discusses the operational characteristics of floating-point addition, subtraction, multiplication, and division.
Sections
References
chapter 3 part B.pdfClass Notes
Memorization
What we have learnt
- Excess-3 code is an effecti...
- Binary multiplication can b...
- Binary division can be exec...
Final Test
Revision Tests
What we have learnt
- Excess-3 code is an effective numeral system for BCD addition and subtraction.
- Binary multiplication can be performed using methods such as repeated left-shift and add, and repeated add and right-shift.
- Binary division can be executed via repeated right-shift and subtract or repeated subtract and left-shift methods, while floating-point arithmetic requires normalization to handle operations accurately.
Key Concepts
-
Term: Excess3 Code
Definition: A non-weighted code used to express decimal numbers, where each digit is represented by its corresponding binary value plus 3.
-
Term: BCD (BinaryCoded Decimal)
Definition: A class of binary encodings of decimal numbers where each decimal digit is represented by its own binary sequence.
-
Term: Binary Multiplication Algorithms
Definition: Techniques for multiplying binary numbers, including the repeated left-shift and add method and the repeated add and right-shift method.
-
Term: FloatingPoint Arithmetic
Definition: A method of representing real numbers that can accommodate a wide range of values by utilizing a format of mantissa and exponent.