binary arithmetic

Zeros-and-ones calculations

Binary arithmetic is mathematical calculation using only the digits 0 and 1, where each position represents a power of two rather than ten.

Addition, subtraction, multiplication, and division all work by the same principles as decimal arithmetic but with simpler rules: 1 + 1 = 10 (that is, zero with a carry).

Binary arithmetic is fundamental to computing, since electronic circuits naturally represent two states—on and off.

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digit · decimal · machine language · logic gates · borrow · rounding errors · overflow error · subtraction · truth tables · floating point · addition · zero · Boolean algebra · OR · registers · multiplication · nibble · division

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number base system

binary arithmeticdecimal arithmetic

Math with point-separated digits

decimal notation

computational paradigm

binary arithmeticanalog computing

Processing via continuous physical quantities

quantum computing

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arithmetic, binary, byte, binary code, binary system, binary tree, binary logic, binary number, binary digit

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