Simplify the boolean expression, Computer Engineering

Assignment Help:

Simplify the Boolean expression F = C(B + C)(A + B + C).

Ans. Simplification of the given Boolean Expression F = C (B +C) (A+B+C) given as
F = C (B+C) (A+B+C)
= CB + CC [(A+B+C)]
= CB + C [(A+B+C)]   (Q CC = C)
= CBA + CBB + CBC + CA + CB + CC
= ABC + CB + CB + CA + CB + CC (Q CBB =CB & CBC = CB)
= ABC + CB + CA + C   (Q CB+CB+CB = CB; CC = C)
= ABC + BC + C (1+A)
= ABC + BC + C    (Q 1+A = 1)
= ABC + C (1+B)
= ABC + C   (Q 1+B = 1)
= C (1+AB) = C {Q (1+AB)=1}

Related Discussions:- Simplify the boolean expression

Object oriented systems analysis and design, Analysis and design form the b...

Analysis and design form the basis on any significant software artifact. Analysis is critical in terms of making sure that the final artifact actually meets user requirements (ie b

Logical difference among move a to b and compute b = a, What is the logic...

What is the logical difference among Move A TO B and COMPUTE B = A ? Ans) In case of Move A TO B it will move whatever the value of a in to b. It mean it will move nume

What is response ratio, What is response ratio? HRRN that is Highest Re...

What is response ratio? HRRN that is Highest Response Ratio Next scheduling is a non-preemptive discipline, as same to Shortest Job First (SJF) wherein the priority of all jobs

Define exception, Define exception. The term exception is used to trans...

Define exception. The term exception is used to transfer to any event that causes an interruption

Classes, write a program to copt values of object without using copy constr...

write a program to copt values of object without using copy constructor or = operator

Embedded systems and the system in which rtos is running, Explain What is t...

Explain What is the difference among embedded systems and the system in which RTOS is running? Ans) Embedded system can have RTOS and cannot have also. It depends on the requi

Write about TSR, Write about TSR TPA also holds TSR (terminate and stay...

Write about TSR TPA also holds TSR (terminate and stay resident) programs which remain in memory in an active state until activated by a hot-key sequence or another event like

Determine about the voice systems, Determine about the Voice Systems Sp...

Determine about the Voice Systems Speech recognizers are used in some graphics workstations as input devices to accept voice commands. The voice-system input can be used to ini

Why schottky transistors preferred over other transistors , In digital ICs,...

In digital ICs, Schottky transistors are preferred over normal transistors because of their ? Ans. Lower propagation delay in digital ICs, as shottky transistors reduce

8259 PIC, plz expalain interfacing of 8259 with 8085 step wise

plz expalain interfacing of 8259 with 8085 step wise

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages