# Binary and hexadecimal conversion chart

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 most 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 any 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.

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.