Tuesday, January 1, 2013

Analysis Of Combination Logic Circuit

Analysis Of Combination Logic Circuit

The function of an existing combination logic circuit is expressed by the Boolean equation that describes the signal that appears at its output terminal(s). The output function can be determined by following through the circuit the output of each gate as it is connected to the inputs of one or more other gates.

Analysis Of Combination Logic Circuit3_06

An example of this is given by the circuit shown in Fig. 20. The output of the upper NAND gate is AB and the output of the lower AND gate is EC. These two outputs are applied to the input of the OR gate. Hence, the output of the circuit is F = AB + BC. The truth table of the circuit is given by Table 14.Table 14 .

Analysis Of Combination Logic Circuit3_09

A rather more complex circuit is shown in Fig .12. The upper NAND gate has Ā and B as its inputs and so its output is 10. Similarly, the output of the lower NAND gate is 10. These two outputs are applied to the inputs of the third NAND gate. The output of the circuit is 11. This Boolean equation looks rather complicated but perhaps it can be simplified. The truth table for the circuit is given by Table 15.

Analysis Of Combination Logic Circuit

If the last line of the table is compared with the last line of Table 8.8 it will be seen that they are identical. This means that the circuit given in Fig. 21 performs the logical function exclusive-OR.