logo

Boolean Algebra Assignment- Answers

6 Pages602 Words568 Views
   

Added on  2019-11-26

Boolean Algebra Assignment- Answers

   Added on 2019-11-26

ShareRelated Documents
Running head: BOOLEAN ALGEBRABoolean AlgebraName of the Student:Name of the University:Author Note
Boolean Algebra Assignment- Answers_1
1BOOLEAN ALGEBRA Answer to question 1a)Single precision IEEE 754 format- 0 01111110 10100000000000000000000Sign bit is 0Exponent is 01111110Mantissa is 10100000000000000000000Decimal value -.8125Hence the value is 8.125x10^(-1)b)5-bit word- 00110Signed magnitude- (-6)One’s complement- 11001 Two’s complement- 11010Answer to question 2a)The table below is used for the representation of the clockHoursClockDecimal RepresentationABCDE1000012000103000114001005001016001107001118010009HIGH(1)0100110HIGH(1)01010
Boolean Algebra Assignment- Answers_2
2BOOLEAN ALGEBRA 11HIGH(1)0101112HIGH(1)0110013HIGH(1)0110114HIGH(1)0111015HIGH(1)0111116HIGH(1)1000017100011810010191001120101002110101221011023101112411000In the above table the 24-hour clock is represented by the 5 bit binary values.Now for the High or 1 represents that the door is open.Hence the values that represents that the door is open are:The logic of the diagram is:A'BC'D'E+A'BC'DE'+A'BC'DE+A'BCD'E' = A’B(C’D’E+C’DE’+C’DE+CD’E’)= A’B(D(C’E’+C’E) +D’(C’E+CE’)) = A’B(D(C’E’+C’E) +D’(C’E+CE’)) = A’B (D’C’+D (Cxor E))A'BCD'E’+A'BCDE'+A'BCDE+AB'C'D'E' = A’BCD + A'BCD’E’+AB'C'D'E' = A’BCD + D’E’(A’BC + AB’C’)Hence, the expression of the problem is minimized and the diagram is provided below. Thisdiagram represents the clock and the output represents the intervals in the which the doors areopen.
Boolean Algebra Assignment- Answers_3

End of preview

Want to access all the pages? Upload your documents or become a member.

Related Documents
ITC544 - Boolean Algebra | Digital Logic - Assignment
|5
|437
|541

Document on Boolean Algebra
|7
|915
|415

ITC 544 Computer Organization and Architecture Assignment
|5
|401
|222

ITC 544 - COMPUTER ORGANIZATION AND ARCHITECTURE
|6
|494
|315

Data Representation and Digital Logic
|3
|445
|194

ITC544 - IT Fundamentals Assignment
|3
|656
|91