Decimal to binary to hexadecimal converter

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There are infinite ways to represent a number. The four commonly associated with modern computers and digital electronics are: Decimal base 10 is the way most human beings represent numbers.

Decimal is sometimes abbreviated as dec. Binary base 2 is the natural way most digital circuits represent and manipulate numbers. Binary numbers are sometimes represented by preceding the value with '0b', as in 0b Binary is sometimes abbreviated as bin. Octal base 8 was previously a popular choice for representing digital circuit numbers in a form that is more compact than binary.

Octal is sometimes abbreviated as oct. Hexadecimal base 16 is currently the decimal binary and hexadecimal conversion chart popular choice for representing digital circuit numbers in a form that is more compact than binary. Hexadecimal numbers are sometimes represented by preceding the value with '0x', as in 0x1B Hexadecimal is sometimes abbreviated as hex.

All four number systems are equally capable of representing any number. Furthermore, a number can be perfectly converted between the various number systems without any loss of numeric value. At first blush, it seems like using decimal binary and hexadecimal conversion chart number system other than human-centric decimal is complicated and unnecessary. However, since the job of electrical and software engineers is to work with digital circuits, engineers require number systems that can best transfer information between the human world and the digital circuit world.

It turns out that the way in which a number is represented can make it easier for the engineer to perceive the meaning of the number as it applies to a digital circuit. In other words, the appropriate number system can actually make things less complicated.

Almost all modern digital circuits are based on two-state decimal binary and hexadecimal conversion chart. The switches are either on or off.

Because the fundamental information element of digital circuits has two states, it is most naturally represented by a number system where each individual digit has two states: For example, switches that are 'on' are represented by '1' and switches that are 'off' are represented by '0'. It is easy to instantly comprehend the values of 8 switches represented in binary as It is also easy to build a circuit to display each switch state in binary, by having an LED lit or unlit for each binary digit.

As digital circuits grew more complex, a more compact form of representing circuit information became necessary. That means three binary digits convert neatly into decimal binary and hexadecimal conversion chart octal digit.

That means four binary digits convert neatly into one hexadecimal digit. Unfortunately, decimal base 10 is not a whole power of 2. So, it is not possible to simply chunk groups of binary digits to convert the raw state of a digital circuit into the human-centric format. Number Systems There are infinite ways to represent a number. Fundamental Information Element of Digital Circuits Almost all modern digital circuits are based on two-state switches.

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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.