Octal Numbering System

The octal or base-8 numbering system may be used as a condensed representation of a binary number, since each octal digit is equivalent to three binary digits. The main features of the octal numbering system are that:- each digit varies in the range 0 to 7, moving to...

Recommended Binary Prefixes

A range of prefixes based on binary multiples have been created by the (IEC), which are intended to avoid confusion between the officially adopted SI prefixes – based on multiples of 1,000 – and the customary use in computing of terms such as kilo, mega...

Binary Numbering System

The binary or base-2 numbering system may be regarded as the ‘natural’ numbering system to use with digital computers, since the low or high logic levels used internally by digital circuits correspond directly with the 0 or 1 values of a binary number. In...

Hexadecimal Numbering System

The hexadecimal or base-16 numbering system is commonly used as a condensed representation of a binary number, since each hexadecimal digit is equivalent to four binary digits. The main characteristics of the hexadecimal numbering system are that:- each digit varies...
Numbering Systems Overview

Numbering Systems Overview

A numbering system is a consistent method of representing numerical values, which is closely related to methods of counting and performing mathematical operations. We are most familiar with the base-ten numbering system, also known as decimal or denary. Using this...

Numbering Systems Problems

Question 1State the main characteristics and uses of the following numbering systems. Binary Octal Decimal (or Denary) Hexadecimal Question 2State the number of bits in the following sizes of binary number. bit nibble byte Question 3Convert the following binary...