As an example, let's convert 54000 to binary. Looking at the table, we see that 54000 lies between 32768 and 65536, so we can start at 32768. With each subtraction decision, we mark whether we could subtract with a 0 or 1, as shown below: 54000 Starting number to convert -32768 Can subtract 32768 1 --------- 21232 After subtraction -16384 Can subtract next lower power 1 --------- 4848 After subtraction -8192 Can't subtract 0 --------- 4848 Leave the number alone -4096 Can subtract next lower power 1 --------- 752 After subtraction -2048 Can't subtract 0 --------- 752 Leave the number alone -1024 Can't subtract 0 --------- 752 Leave the number alone -512 Can subtract 512 1 --------- 240 After subtraction -256 Can't subtract 0 --------- 240 Leave the number alone -128 Can subtract 128 1 --------- 112 After subtraction -64 Can subtract 64 1 --------- 48 After subtraction -32 Can subtract 1 --------- 16 After subtraction -16 Can subtract 16 1 --------- 0 After subtraction -8 Can't subtract 0 --------- 0 -4 Can't subtract 0 --------- 0 -2 Can't subtract 0 --------- 0 -1 Can't subtract 0 --------- 0 This entire tedious process is carried out in detail as an example. The final binary numeral can be read off by lining up the 1s and 0s, starting from the top: 1101001011110000 |