1. Number System Digital Logic and Computer Design by Ravinder Nath Rajotiya - September 17, 2022September 17, 20220 What is a Number? A number is a mathematical value used for counting or measuring or labelling objects. In number system these numbers are used as digits. Number Systems A number system is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figure. The value of any digit in a number can be determined by: The digit Its position in the number The base of the number system Number System Chart There are various types of number systems in mathematics. The four most common number system types are: Decimal number system (Base- 10) Binary number system (Base- 2)
Computer Codes STLD/Digital Electronics by Ravinder Nath Rajotiya - August 4, 2019May 10, 20210 Computer Codes: The second category of codes are those codes which cannot be represented by any analytical relation, hence these codes are also called as non-analytical code.Non-Analytical code. These are the following codes: Non-Weighted Codes: Excess-3 Codes, Gray Codes, BCD greater than 4-bits Self Complementing codes: 2421, 5211, Excess-3 (XS-3) Sequential Codes: 8421 and XS-3 Cyclic Code: Gray Code Reflecting Code: Gray Code Error Detection and Correcting Code: Parity, Hamming Code Gray Code This code also known as a unit distance code. This code is best suited as a shat position encoder. Going from any one position to next position, there is only one bit change in the code. The pattern formed by the gray code is the mirror image, so the code is also called as reflected code. Figure shows the formation of gray