Prove the equations using the boolean algebraic theorems, Computer Engineering

Assignment Help:

Prove the equations A + A‾ .B + A.B‾ = A + B using the Boolean algebraic theorems ?

Ans.
The equation is A + A‾.B + A.B‾ = A + B
L.H.S. = A + A‾ .B + A.B‾
= (A + A.B‾) + A‾.B
= A (1+ B‾) + A‾.B
= A + A‾ .B (? 1+B‾ =1)
= (A +A‾ ) (A + B)
= (A + B) (? A + A‾ = 1)
= R.H.S
Thus Proved

Related Discussions:- Prove the equations using the boolean algebraic theorems

Determine about the raster-scan systems, Determine about the raster-scan sy...

Determine about the raster-scan systems Most of the present raster-scan systems contain a separate processor called as display processor. This processor performs graphics func

Design a sequential circuit with two flip-flop and one input, Design a coun...

Design a counter modulo 4 (sequential circuit with two flip-flops and one input U) which work like that: 1. When U=0, the state of the flip-flop does not change. 2. Whe

Basics of caches - computer architecture, Basics of Caches: "The cache...

Basics of Caches: "The caches are situated on basis of blocks, the shortest amount of data which may be copied between 2 adjacent levels at a time. "If requested data by th

Determine the simplified sop boolean expression, Reduce the following equat...

Reduce the following equation using k-map Y = BC‾D‾ + A‾BC‾D + ABC‾D + A‾BCD + ABCD Ans. Multiplying the first term with (A+A') Y = A'BC'D' + ABC'D' + A'BC'D + ABC'D + A'BCD + A

Macroscopic and microscopic approaches - thermodynamics, Macroscopic and Mi...

Macroscopic and Microscopic approaches - Thermodynamics: Thermodynamic studies are undertaken by following two different approaches. l. Macroscopic approach (Macro mean big)

Show the mips addressing modes, Q. Show the MIPS Addressing Modes? MIP...

Q. Show the MIPS Addressing Modes? MIPS Addressing Modes MIPS employs various addressing modes: 1. Uses Register as well asimmediate addressing modes for operations.

What is the type of process identifiers, What is the type of Process Identi...

What is the type of Process Identifiers? Identification of the real user Identification of the effective user Identification of the real group Identification

DATA DICTIONARY, DATA DICTIONARY ON ONLINE QUIZ SYSTEM

DATA DICTIONARY ON ONLINE QUIZ SYSTEM

What are the type of internet connection, What are the type of Internet con...

What are the type of Internet connection When determining requirements for a VPN, carefully estimate the number of systems to be put behind the VPN, the number of concurrent u

Perfect induction, Any identity or equality in Boolean algebra, suchas de M...

Any identity or equality in Boolean algebra, suchas de Morgan's Theorem can be proved usingthe method of perfect induction. 1. All combinations of variables are written down.

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages