Binary Tutorial - 2. Binary Conversions

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This tutorial is going to assist you with the different numbering systems that are used in programming. Programmers will need to be familiar with most of them. You are already familiar with our every day denary numbering system based on the unit Computers only understand the binary number system based on the unit 2 denary. Programming often uses the hexadecimal system base on a unit of 16 denary.

For example HTML uses hexadecimal numbering in the color attribute, e. Another less common binary hex table is octal based on 8 denary. You should know how to convert between the different systems.

The windows calculator in scientific mode can be used for conversions. College and University students may find that calculators are not allowed in the exam, Binary hex table course T is an example of this, therefore manual conversion calculations must be made. This should be practiced to speed up the process, the calculator only used to check your manual conversion. A bi nary digi t is called a bit.

Usually expressed as 0 and 1 the two numbers of the binary numbering system. A bit is the smallest unit of information a computer can use. A 16 bit computer would process a series of 16 bits,such as in one go, repeating the process thousands or millions of times per second. Reading a series of binary hex table is very difficult and to make this process easier they are often displayed in groups of 4 bits This grouping is quite interesting in that a group of 4 bits can be replaced by a single hexadecimal digit Two groups of 4 bits, i.

A group of 8 bits are in a byte. With 8 bits binary digitsthere exists possible denary combinations. Large numbers of bytes can be expressed by kilobytesmegabytes etc. See the ASCII codes at the foot of this page which shows how the first characters of characters are used.

The value of a kilobyte is Normally Kilo refers to but in computing kilobyte is Likewise, Kb is referred to as a "Megabyte". Normally a Mega refers to a million. In computing 1 Mega byte is 1, bytes. A megabyte can store roughly 4 books of pages Gigabyte GB A Gigabyte is 1,, 2 30 bytes. In every day binary hex table we Usually binary hex table the denary number system which has a base of But we also use other number systems, think of time base 60, and base binary hex table within itimperial distance yards and feet base 3binary hex table are many others, dates probably being the hardest number system to do calculations with.

In the denary binary octal hexadecimal systemsthe value of binary hex table digit in a number depends on its position within that number. To understand this we will examine the Denary system in more detail. Because you are so used to the denary system and because it is very easy to multiply by 10,or a etc you calculate the number in your head. Lets binary hex table the number as an example. The calculation that is automatically done is the following. The most important calculation to do is to work out the positional values for that system.

The positional value is based on the powers of the number systems binary hex table value. Write down the Positional values for the number system you are using so for Denary we would write. You can convert a number in any number system to binary hex table denary number using this calculation. Ensure you use the positional values for the number system you are using.

The decimal system name binary hex table not be used because of confusion that this could be binary hex table as introducing the decimal point and money systems. Uses numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, that's 10 numbers. Radix is another name for base Adding 1 to 9 we must introduce an additional column to the left i. A series of eight bits strung together makes a byte, much as 12 makes a dozen.

Binary numbering is the number system that is used by computers. There are two possible states in a bit, Usually binary hex table as 0 and 1, the two numbers used in the binary number system. A byte of memory can store a number in the range to binary.

Numbers are often displayed in groups of binary hex table, as follows, to make them easier to read. A single hexadecimal number requires 4 units of binary numbers. Binary hex table makes it reasonably easy to convert between these two numbering binary hex table. These states are usually represented by either the number 0 or 1 of the binary number system. Updated 22 Feb Introduction This tutorial is going to assist you with the different numbering systems that are used in programming.

Bit A bi nary digi t is called a bit. Reading a series of bits is very difficult and to make this process easier they are often displayed in groups of 4 bits This grouping is quite interesting in that a group of 4 bits can be replaced by a single hexadecimal digit Two groups of 4 bits, i.

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Binary to Hex Conversion This conversion can be done by grouping of binary bits method. The below steps may useful to know how to perform binary to hex conversion. Separate the digits into groups from right to left side. Each group should contain 4 bits of binary number. Add 0's to the left, if the last group doesn't contain 4 digits. Find the equivalent hexadecimal number for each group. Write the all groups hexadecimal numbers together, maintaining the group order provides the equivalent hex number for the given binary.

Solved Example Problem The below solved example problem may useful to understand how to perform binary to hex number conversion. Problem Convert the binary number 2 to its hexadecimal equivalent. This conversion can be done by finding the binary equivalent for an each digit of the hex number, combining them together in the same order.

The below steps may useful to know how to perform hex to binary number conversion. Separate the digits of the given hexadecimal, if more than 1 digit. Find the equivalent binary number for each digit of hex number, add 0's to the left if any of the binary equivalent is shorter than 4 bits. Write the all groups binary numbers together, maintaining the same group order provides the equivalent binary for the given hexadecimal.

Solved Example Problem The below solved example problem may useful to understand how to perform hex to binary number conversion. Problem Convert the hexadecimal 9DB.

A5 16 to its binary equivalent. Numbers Conversion Table Decimal Binary Octal Hex 0 0 0 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 10 8 9 11 9 10 12 A 11 13 B 12 14 C 13 15 D 14 16 E 15 17 F.

Binary - Hex Converter. Binary - Hex Conversion. Binary to Hex Hex to Binary. BCD to Decimal Converter. Binary - Decimal Converter. Binary - Gray Code Converter. Binary - Octal Converter. Decimal - Octal Converter.