**Course Objectives:** To familiarize with the concepts of designing digital circuits.**Course Outcomes**

Upon successful completion of the course, the students will be able to

1. Understand how to Convert numbers from one radix to another radix and perform arithmetic operations.

2. Simplify Boolean functions using Boolean algebra and k- maps

3. Design adders and subtractors circuits

4. Design combinational logic circuits such as decoders, encoders, multiplexers and de multiplexers.

5. Use flip flops to design registers and counters.

** UNIT-I (Number Systems)**

- Binary, octal, decimal, hexadecimal number systems
- conversion of numbers from one radix to another radix
- r’s, (r-1)’s complements
- signed binary numbers
- addition and subtraction of unsigned and signed numbers
- weighted and unweighted codes
- Solved Example on Number System Set-I (Number System conversion)
- Solved Example on Number System Set-II (Number System conversion)
- Solved Example on Number System Set-III (Number System conversion)
- Solved Example on Number System Set-IV (Number System conversion)
- Solved Example on Number System Set-V (Complements)
- Solved Example on Number System Set-VI (Signed binary numbers)

**UNIT – II (Logic Gates and Boolean Algebra)**

- NOT, AND, OR, universal gates, X-OR and X-NOR gates
- Boolean laws and theorems
- complement and dual of a logic function
- canonical and standard forms
- two level realization of logic functions using universal gates
- minimizations of logic functions (POS and SOP) using Boolean theorems
- K-map (up to four variables)
- don’t care conditions

UNIT – III (Combinational Logic Circuits-1)

Design of half adder, full adder, half subtractor, full subtractor, ripple adders and subtractors, ripple adder / subtractor

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