combinational logic circuits and its application.
- 1. PRESENTED BY SWARNIKA KUMARI, LECTURER DEPARTMENT OF ELECTRONICS ENGINEERING GOVERNMENT POLYTECHNIC SIWAN Combinational Logic Circuits
- 2. CONTENT Introduction Difference between Combinational & Sequential Classification of Combinational Logic Circuits Half Adder Full Adder Application
- 3. SESSION OUTCOMES After attending this session, the student will be able to: •Students will be able to distinguish between combinational and sequential circuits. •Students will design and analyze half adders and full adders. •Students will understand the significance of combinational circuits in practical applications.
- 4. Introduction A combinational logic circuit is a type of digital circuit in which the output is determined solely by the current combination of inputs, without any dependence on previous inputs or states. These circuits perform operations based on Boolean algebra and are used for various applications, such as arithmetic operations, data processing, and signal manipulation.
- 5. Difference between Combinational & Sequential
- 6. Classification of Combinational Logic Circuits
- 7. Half Adder Adding two single-bit binary values, X, Y produces a sum S bit and a carry out C-out bit. This operation is called half addition and the circuit to realize it is called a half adder. Half Adder Truth Table Inputs Outputs X Y S C-out 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 S(X,Y) = (1,2) S = X’Y + XY’ S = X Y C-out(x, y) = (3) C-out = XY Half Adder X Y S C-out
- 9. Full Adder Full Adder Truth Table Inputs Outputs X Y C-in S C-out 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 Full Adder S X Y C-in C-out Adding two single bit binary values X & Y with a Carry input bit produces a sum bit and carry output bit S(X,Y, C-in) = (1,2,4,7) C-out(x, y, C-in) = (3,5,6,7) S = X’Y’(C-in) + XY’(C-in)’ + XY’(C-in)’ + XY(C-in) S = X Y (C-in)
- 10. Circuit Diagram using basic gates & X-or Circuit Diagram using two Half adder
- 11. Application 1.Arithmetic Logic Units (ALUs) 2.Data Transmission Systems 3.Memory Address Decoding 4.Display Systems 5.Digital Signal Processing (DSP) 6.Automation Systems 7.Error Detection and Correction
- 12. THANK YOU