Binary Number | Base 2 |
Bit | Nibble |
Byte | Binary Addition |
Binary Subtraction | Binary Conversion |
The number system that represents numeric values using only two digits, 0 and 1. | A number representation system using only two digits, 0 and 1. |
A group of four bits. | A binary digit, either zero or one. |
The addition of binary numbers. | A group of eight bits. |
The conversion of one binary number representation to another. | The subtraction of binary numbers. |
Binary Coded Decimal | Floating-Point Binary Number |
Encoding | Hexadecimal |
Base | Digits |
Binary | Decimal |
A binary representation of a real number using both a significand and an exponent. | A method of representing decimal numbers using binary numbers. |
A base-16 numbering system that uses digits from 0-9 and letters A-F | The process of converting data into a specific format for efficient transmission or storage. |
Symbols used to represent numbers. | The number of unique digits used in a numbering system. |
A base-10 numbering system that uses digits ranging from 0 to 9. | A base-2 numbering system that uses only two digits, 0 and 1. |
Conversion | Representation |
Addition | Carry |
Overflow | Half Adder |
Full Adder | Binary Arithmetic |
The way in which a number is expressed. | The process of changing a number from one numbering system to another. |
In binary addition, when the sum of two bits exceeds the base, a carry is generated and added to the next higher order bit. | The mathematical operation of combining two or more numbers to obtain a total. |
A digital circuit that adds two single binary digits and produces the sum and carry as outputs. | The situation that occurs In binary addition, when the sum exceeds the maximum representable value. |
The branch of mathematics that deals with addition, subtraction, multiplication, and division of binary numbers. | A digital circuit that adds three binary digits (two operands and a carry) and produces the sum and carry as outputs. |
Base-2 | Carry Over |
Sign Bit | Magnitude |
Ones Complement | Sign And Magnitude |
Two'S Complement | Negative Number |
The value that is transferred to the next left column when the sum of two bits exceeds the base value. | A numeral system that uses only two digits, 0 and 1, for representing numbers. |
The absolute value of a number. | The leftmost bit in a binary number that represents the sign of the number. |
A method of representing signed numbers using a sign bit and the magnitude of the number. | A method of representing signed integers in binary, in which every bit is inverted. |
A numerical value less than zero, represented using the binary numeral system. | A method of representing negative numbers using binary numbers. |
Binary Representation | Binary Shift |
Binary Shifts | Shift Left |
Shift Right | Arithmetic Shift |
Carry Bit | Shift Amount |
An operation that moves the bits of a binary number to the left or right. | The numeric representation of data in binary form. |
A bitwise operation used to shift all the binary digits of a number to left. | A bitwise operation used to shift all the binary digits of a number to left or right by a certain number of positions. |
A type of bitwise operation that shifts the bits of a binary number, taking account of the sign of the number. | A bitwise operation used to shift all the binary digits of a number to righ. |
The number of positions by which the binary digits of a number are shifted during a bitwise operation. | A bit that is generated when performing an arithmetic operation on two binary numbers. |
Binary Underflow | Floating Point |
Machine Precision | Binary Overflow |
Overflow Flag | Underflow Flag |
Unsigned Integer | Signed Integer |
A way to represent real numbers in a computer. | The condition where a mathematical operation results in a number that is too small to be represented in binary form. |
An error that occurs when a calculation exceeds the maximum limit representable within a fixed number of bits. | The level of accuracy a computer can represent real numbers. |
A status indicator in a CPU that signals when an arithmetic operation has produced a result lower than the minimum value representable. | A status indicator in a CPU that signals when an arithmetic operation has exceeded the limits of its data type. |
A whole number that can represent both positive and negative values, typically using a bit for sign. | A whole number that can only represent non-negative values, allowing for a larger positive range at the cost of negative representation. |
Logical Shift | |
A type of bitwise operation that shifts the bits of a binary number, without taking account of the sign of the number. | |