1-12Here, as in the decimal system, the MSD is the digit that will have the most effect on the number; theLSD is the digit that will have the least effect on the number.The two numerals of the binary system (1 and 0) can easily be represented by many electrical orelectronic devices. For example, 1_{2} may be indicated when a device is active (on), and 0_{2} may beindicated when a device is nonactive (off).Figure 1-1. —Binary ExampleLook at the preceding figure. It illustrates a very simple binary counting device. Notice that 1_{2} isindicated by a lighted lamp and 0_{2} is indicated by an unlighted lamp. The reverse will work equally well.The unlighted state of the lamp can be used to represent a binary 1 condition, and the lighted state canrepresent the binary 0 condition. Both methods are used in digital computer applications. Many otherdevices are used to represent binary conditions. They include switches, relays, diodes, transistors, andintegrated circuits (ICs).Addition of Binary NumbersAddition of binary numbers is basically the same as addition of decimal numbers. Each system hasan augend, an addend, a sum, and carries. The following example will refresh your memory:Since only two symbols, 0 and 1, are used with the binary system, only four combinations ofaddition are possible.0 + 01 + 00 + 11 + 1