Computer Arithmetic

These flashcards cover key concepts related to computer arithmetic, focusing on numeral systems, conversions, and arithmetic operations.

Changing Bases

The process of converting numbers from one numeral system to another, such as from decimal (denary) to binary, octal, or hexadecimal.

Place Value

The value of a digit depending on its position within a number; in base 10, for example, the digits represent powers of 10.

Binary

A base-2 numeral system that uses only two digits, 0 and 1.

Octal

A base-8 numeral system that uses digits from 0 to 7.

Hexadecimal

A base-16 numeral system that uses digits 0-9 and letters A-F to represent values.

Denary

Another term for the decimal system, which is base 10.

Conversion to Decimal

The process of converting numbers from another base into decimal format.

Hexadecimal Units

In hexadecimal, values are represented as 0-9 and A-F, where A=10, B=11, C=12, D=13, E=14, F=15.

Three-bit Binary

Binary numbers are grouped into sets of three for conversion to octal, where each group corresponds to a single octal digit.

Four-bit Binary

Binary numbers are grouped into sets of four for conversion to hexadecimal, where each group corresponds to a single hexadecimal digit.

Arithmetic Operations in Different Bases

The ability to perform addition, subtraction, multiplication, and division directly in bases other than decimal.