Neat trick for high-performance big-number arithmetic on modern CPUs:
“The Radix 2^51 Trick” [2017], Tim McLean (https://www.chosenplaintext.ca/articles/radix-2-51-trick.html).
Via HN: https://news.ycombinator.com/item?id=44132673
On Lobsters: https://lobste.rs/s/1ch2zd/radix_2_51_trick_256_bit_addition_2020
Understanding Two's Complement
In the world of digital electronics and computing, dealing with negative binary numbers is a crucial task. This is where the concept of two's complement comes into play. Twos complement calculator is a mathematical operation used to represent both positive and negative binary numbers within the same number of bits.
So how does it work? Let's take an 8-bit binary number as an example. To obtain the two's complement of a positive number, you simply represent it as is. For a negative number, you follow these steps:
1. Take the absolute value of the number and represent it in binary.
2. Flip all the bits (change 0 to 1 and 1 to 0).
3. Add 1 to the flipped value.
The resulting binary value is the two's complement representation of the negative number.
Two's complement is widely used in modern computers and digital circuits because it simplifies arithmetic operations involving both positive and negative numbers. It eliminates the need for separate logic to handle positive and negative values, making computations more efficient.
While the concept may seem abstract at first, understanding two's complement is crucial for anyone delving into the intricacies of computer architecture, digital electronics, or low-level programming.
Reference:https://twoscomplementcalculator.com/
#TwosComplement #BinaryArithmetic #DigitalLogic #ComputerArchitecture
For example, consider the 8-bit two's complement representation: To represent +5, we simply represent it as 00000101. To represent -5, we take the binary representation of 5 (00000101), invert all the bits to get 11111010, and then add 1 to get 11111011, which is the two's complement representation of -5.
Where did #Bytes Come From? - #Computerphile
"Why do we have 8 #Bits in a byte? Professor #Brailsford on the origins of the humble byte."
https://www.youtube.com/watch?v=ixJCo0cyAuA&ab_channel=Computerphile
#Bit #BinaryDigit #BinaryDigits #IT #Computing #ComputerScience #Computation #History #HistoryOfComputing #HistoryOfComputers #Binary #BinaryArithmetic #Arithmetic #Math #Mathematics #DavidBrailsford
A byte is, and always was, an 8 bits quantity!
No.
https://www.yesik.it/blog/2018-bit-nibble-byte-and-word
#Bit #Byte #Octet #Nibble #Word
#BinaryArithmetic #BooleanAlgebra
#ComputerScience #ComputerHistory
A byte is, and always was, an 8 bits quantity!
No.
https://www.yesik.it/blog/2018-bit-nibble-byte-and-word
#Bit #Byte #Octet #Nibble #Word
#BinaryArithmetic #BooleanAlgebra
#ComputerScience #ComputerHistory
A byte is, and always was, an 8 bits quantity!
No.
https://www.yesik.it/blog/2018-bit-nibble-byte-and-word
#Bit #Byte #Octet #Nibble #Word
#BinaryArithmetic #BooleanAlgebra
#ComputerScience #ComputerHistory
A byte is, and always was, an 8 bits quantity!
No.
https://www.yesik.it/blog/2018-bit-nibble-byte-and-word
#Bit #Byte #Octet #Nibble #Word
#BinaryArithmetic #BooleanAlgebra
#ComputerScience #ComputerHistory
A byte is, and always was, an 8 bits quantity!
No.
https://www.yesik.it/blog/2018-bit-nibble-byte-and-word
#Bit #Byte #Octet #Nibble #Word
#BinaryArithmetic #BooleanAlgebra
#ComputerScience #ComputerHistory
रञ्जित (Ranjit Mathew)
Phucshuhari
Jim Donegan 🎵 ✅
Yes, I Know IT ! 🎓