# How to convert values between decimal binary and hexadecimal numbers

That means four binary digits convert neatly into one hexadecimal digit. At first blush, it seems like using any number system other than human-centric decimal is complicated and unnecessary. Now see if it has tallied the right number of dots, as in this example using base 2. As digital circuits grew more complex, a more compact form of representing circuit information became necessary.

Now see if it has tallied the right number of dots, as in this example using base 2. But you don't have to use 10 as a "Base". Now on to octal conversions Decimal to Binary Here is an example of using repeated division to convert decimal to binary:

Unfortunately, decimal base 10 is not a whole power of 2. 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. You could use 2 "Binary"16 "Hexadecimal"or any number you want to!

Binary base 2 is the natural way most digital circuits represent and manipulate numbers. If we see a "7" there we know it means 7 ones. You could use 2 "Binary"16 "Hexadecimal"or any number you want to! Bases The Decimal Number System is also called "Base 10", because it is based on the number 10, with these 10 symbols: All four number systems are equally capable of representing any number.

It is easy to instantly comprehend the values of 8 switches represented in binary as A repeated division and remainder algorithm can convert decimal to binary, octal, or hexadecimal. They look the same as the decimal numbers up to 9, but then there are the letters "A',"B","C","D","E","F" in place of the decimal numbers 10 to Binary is sometimes abbreviated as bin.

Now see if it has tallied the right number of dots, as in this example using base 2. 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. But notice something interesting:

Fundamental Information Element of Digital Circuits Almost all modern digital circuits are based on two-state switches. This is just a way of writing down a value. Unfortunately, decimal base 10 is not a whole power of 2.

Decimal Number Conversion article continued from previous page A repeated division and remainder algorithm can convert decimal to binary, octal, or hexadecimal. Binary base 2 is the natural way most digital circuits represent and manipulate numbers. Other ways include Roman NumeralsBinaryHexadecimaland more.

For example, decimal converted to hex is:. Bases The Decimal Number System is also called "Base 10", because it is based on the number 10, with these 10 symbols: Fundamental Information Element of Digital Circuits Almost all modern digital circuits are based on two-state switches. Octal base 8 was previously a popular choice for representing digital circuit numbers in a form that is more compact than binary.

But notice something interesting: Octal is sometimes abbreviated as oct. The switches are either on or off. Repeat until the decimal number has reached zero. If we see a "7" there we know it means 7 ones.