In computer science and mathematics, a is a number expressed in the numeral system. This means that the only two digits used in representing numbers are 0 and 1. Each digit in a binary number is called a . A combination of four bits is known as a , and a grouping of eight bits forms a .
and are fundamental operations in binary arithmetic. Similar to decimal addition and subtraction, these operations involve adding or subtracting binary digits from right to left, carrying or borrowing as necessary. This process follows the same principles as base 10 addition or subtraction, but with the limitation of only two possible digits.
refers to the process of translating a number from one numeral system to another. This is commonly done when converting numbers between binary, decimal (base 10), and other numeral systems. Binary conversion involves understanding the place value system in the respective base, then utilizing rules and algorithms to convert between the different representations.
A is used to represent real numbers in binary format. It comprises a sign bit, an exponent, and a significant or fractional part. Floating-point numbers are widely employed in scientific computations and applications that involve numbers with a large range or high precision requirements. The representation of floating-point binary numbers allows for flexibility in handling both very small and very large values.
Keywords
bit | binary addition | binary subtraction | binary number | base 2 | binary conversion | byte | floating-point binary number | nibble |
