Binary Numbers Press any key to begin.
In order to understand the binary numbering system lets first look at our decimal system. The decimal numbering system consists of the numbers 0 through After nine we place a 1 in the tens column and start again with 0. Which gives us 10. The decimal system is also known as base 10 because it is based on the 10 numbers 0 – 9. Press any key to continue…
Binary Numbers have only two digits 0 or 1 DecimalBinary Binary is known as Base 2 Press any key to continue…
As you can see it would take a lot of time to create charts to represent Binary numbers. An easier way is to use the powers of = = = = = = = = 1 Lets place the above calculations into a chart that will make it easy to convert a binary number to a decimal number. Press any key to continue…
x 1 = 1 Total = x 0 = 0 64 x 0 = 0 32 x 1 = x 0 = 0 8 x 1 = 8 4 x 0 = 0 Use the chart to convert the binary number to decimal. Note: The bit to the far right is the Least Significant Bit (LSB) and will determine if the number is even or odd. 2 x 0 = 0 Press any key to continue…
x 1 = 1 Total = x 0 = 0 64 x 1 = x 1 = x 1 = 16 8 x 1 = 8 4 x 1 = 4 Use the chart to convert the binary number to decimal. 2 x 1 = 2 Note: if consecutive bits from the right are all 1’s Then the answer is the next power of 2 minus 1 In this case 128 – 1 = 127 Press any key to continue…
x 0 = 0 Total = x 1 = x 0 = 0 32 x 1 = x 1 = 16 8 x 1 = 8 4 x 0 = 0 Take a piece of paper and convert the binary number to decimal. Press any key when you have the answer. 2 x 1 = 2 Press any key to continue…
The largest number that can be represented using an 8 bit binary number is Remember the rule – if all the digits are 1 then the number is the next power of 2 minus – 1 = 255
Converting a binary number to a decimal number is a simple task if you understand the chart below and how to use it. The End