Binary and Hexadecimal Number Systems

Home > Computer Science > Computer Architecture > Binary and Hexadecimal Number Systems

The number systems used in digital electronics and computer science, in which numbers are expressed in base 2 or base 16.

Numeral systems: Understanding the concept of numeral systems and how numbers represent different values in different systems.
Decimal to binary conversion: Understanding how to convert decimal numbers to binary numbers by using the division-remainder method.
Binary to decimal conversion: Understanding how to convert binary numbers to decimal numbers by using the positional value method.
Binary addition: Understanding how to add two binary numbers by using the carry-over method.
Binary subtraction: Understanding how to subtract two binary numbers by using the borrow method.
Binary multiplication: Understanding how to multiply two binary numbers by using the repeated addition method.
Binary division: Understanding how to divide two binary numbers by using the repeated subtraction method.
Hexadecimal system: Understanding the concept of the hexadecimal number system, which is commonly used in computing.
Hexadecimal to binary conversion: Understanding how to convert hexadecimal numbers to binary numbers.
Binary to hexadecimal conversion: Understanding how to convert binary numbers to hexadecimal numbers.
Bitwise operators: Understanding the concept of bitwise operators and how they operate on binary numbers.
Signed numbers: Understanding the concept of signed numbers and how they are represented in binary form.
Two’s complement: Understanding the concept of two’s complement and how it is used to represent negative numbers in binary form.
Floating-point representation: Understanding how floating-point numbers are represented in binary form.
Endianness: Understanding the concept of endianness and how it affects the storage and retrieval of data in computer memory.
ASCII code: Understanding the concept of the ASCII code and how it is used to represent characters in computing.
Unicode: Understanding the concept of Unicode and how it is used to represent characters in different languages.
Binary-coded decimal: Understanding the concept of binary-coded decimal and how it is used to represent decimal numbers in binary form.
Gray code: Understanding the concept of Gray code and how it is used in digital communications and computing.
Information theory: Understanding the basic concepts of information theory, including entropy, information content, and noise.
Unsigned Binary Number System: :.
Signed Binary Number System: :.
Unsigned Hexadecimal Number System: :.
Signed Hexadecimal Number System: :.
Floating-Point Binary Number System: :.
Binary Coded Decimal (BCD) Number System: :.
Gray Code: :.
Octal Number System: :.
ASCII: :.
Unicode: :.
Excess-N Binary Number System: :.
Two's complement: :.
One's complement: :.
Signed magnitude: :.
Binary arithmetic: :.
Gray code arithmetic: :.
"A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically '0' (zero) and '1' (one)."
"A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically '0' (zero) and '1' (one)."
"The base-2 numeral system is a positional notation with a radix of 2."
"Each digit is referred to as a bit, or binary digit."
"Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use."
"...over various other human techniques of communication, because of the simplicity of the language and the noise immunity in physical implementation."
"Negative numbers are commonly represented in binary using two's complement."
"Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices."
"Each digit is referred to as a bit, or binary digit."
"...a method of mathematical expression which uses only two symbols: typically '0' (zero) and '1' (one)."
"The base-2 numeral system is a positional notation with a radix of 2."
"...the simplicity of the language and the noise immunity in physical implementation."
"Because of its straightforward implementation in digital electronic circuitry using logic gates..."
"The base-2 numeral system is a positional notation with a radix of 2."
"...used by almost all modern computers and computer-based devices, as a preferred system of use."
"Negative numbers are commonly represented in binary using two's complement."
"Because of its straightforward implementation in digital electronic circuitry using logic gates..."
"A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically '0' (zero) and '1' (one)."
"Each digit is referred to as a bit, or binary digit."
"Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use."