Category: 4. Binary Numbers

Binary Fractions use the same weighting principle as decimal numbers except that each binary digit uses the base-2 numbering system We know that decimal (or denary) numbers use the base ten (base-10) numbering system where each digit in a decimal number is allowed to take one of ten possible values in the range of 0 to…

Binary Coded Decimal, or BCD, is another process for converting decimal numbers into their binary equivalents As we have seen in this Binary Numbers section of tutorials, there are many different binary codes used in digital and electronic circuits, each with its own specific use, with Binary Coded Decimal being one of the main ones. As we naturally live…

Signed Binary Numbers use the MSB as a sign bit to display a range of either positive numbers or negative numbers In mathematics, positive numbers (including zero) are represented as unsigned numbers. That is we do not put the +ve sign in front of them to show that they are positive numbers. But when dealing…

Binary Numbers are represented by a series of binary digits which increase in powers of 2 from right to left In this binary numbers tutorial we will see that binary digits called bits are written in base-2 so need two digits, zero and one. That is the binary numbering system we represent words and numbers…

The Octal Number System is another type of computer and digital numbering system which uses the Base-8 system The Octal Numbering System is very similar in principle to the previous hexadecimal numbering system except that in an octal number system, a binary number is divided up into groups of only 3 bits, with each group or set…

Hexadecimal Numbers group binary numbers into sets of four allowing for the conversion of 16 different binary digits Binary and Hexadecimal numbering systems are positional number systems which use different bases. Binary number systems use a base-2 while hexadecimal numbers use base-16. One of the main disadvantages of using binary digits to represent decimal base-10…

Binary to Decimal Conversion of numbers uses weighted columns to identify the order of the digits to determine the final value of the number Binary to decimal conversion (base-2 to base-10) numbers and back is an important concept to understand as the binary numbering system forms the basis for all computer and digital systems. The…

Binary Numbers are the flow of information in the form of zeros and ones used by digital computers and systems Data in digital circuits and computers is stored and transmitted as a series of zeros and ones and so various numbering systems are used to represent the data. Conveniently, binary numbers have only two digits…