Reasons to  Binary With Mrs

Reasons to  Binary Unsigned Binary Integers Conversion from Denary (base 10) to Binary (Base 2) is reasonably simple:

Reasons to  Binary Hexadecimal Conversion from Denary (base 10) to Hexadecimal (Base 16) can use binary as a conversion tool: A 11B 12C 13D 14E 15F Half a Byte is called a Nibble

Reasons to  Binary Two’s Complement Is used to represent both positive & negative numbers Positive representation of 42 (glass half full) Negative representation of 42 (glass half empty)

Reasons to  Binary Binary Addition It is important to remember that computers perform complex calculations that are based on simple addition (42 ) Rules (79 ) (121)

Reasons to  Binary Binary Subtraction It is important to remember that computers perform complex calculations that are based on simple addition (79 ) Rules (42 ) (121) (-42)

Reasons to  Binary Error Checking - Parity When data is transmitted, it is important to ensure that it arrived intact! Which binary number has been corrupted? P The parity bit is added to the number to ensure that the 1s are either all odd or all even. It is not included in the value.

Reasons to  Binary Error Checking – Gray Code When data is transmitted, it is important to ensure that it arrived intact! Gray code is a more effective version of error checking Each value is added to the next most significant digit (to the left) to calculate the ‘gray code’

Reasons to  Binary Error Checking – Hashing When data is transmitted, it is important to ensure that it arrived intact! Rather than just using 1 parity bit, hashing makes use of a number of parity bits to identify where the error has occurred.