Digital Logic

Combinational Circuits Logic functions & Minimization Number representation and computer arithmetic Sequential Circuits

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Digital Logic - Number representation and computer arithmetic

A decimal number has 25 digits. The number of bits needed for its equivalent binary representation is, approximately

A.	50
B.	55
C.	85
D.	80
	Answer Report Discuss
	Option: C Explanation : The largest decimal number with 25 digits is 9,999,999,999,999,999,999,999,999. The smallest decimal number in the form 2ⁿ-1 which is greater than or equal to that is 19,342,813,113,834,066,795,298,815. That corresponds to 2⁸⁴-1. So, the minimum number of binary bits required to represent the decimal number 25 nines in a row is 84. This is 84 ones in a row. If you want to support negative as well as positive numbers, you will need 85. Click on Discuss to view users comments. ARUMUGAM said: (4:18pm on Wednesday 15th May 2013) Generalised Expalanation:Let k bits are required to represent d digit decimal number.(ie) Let 2 power k = 10 power dApply base 2 logarithm on both sideslog(2 power k) base 2 = log (10 power d) base 2k log2 base 2 = d log 10 base 2As log10 base 2=3.32192 and log2 base2 =1,k=3.32192dHere d=25,k=3.32192*25k=83 Write your comments here: Updating your Comments.. Updating your Comments..

7: Decimal number 5 in level parity self correcting code is

A.	10000
B.	01011
C.	01100
D.	01101
	Answer Report Discuss
	Option: B Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

The decimal number 80 can be represented in BCD code as

A.	1000 0001
B.	0101 0000
C.	0010 0001
D.	1000 0000
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	Option: D Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

How many fractional digits 2-48 will have?

A.	24
B.	47
C.	49
D.	48
	Answer Report Discuss
	Option: D Explanation : Click on Discuss to view users comments. Write your comments here: Updating your Comments.. Updating your Comments..

10:

The 10's complement of (715)₈is

A.	63
B.	539
C.	285
D.	395
	Answer Report Discuss
	Option: B Explanation : Click on Discuss to view users comments. sandy said: (4:46pm on Friday 3rd May 2013) convert (715)8 to (?)10=78^2 18^1 5**^0=(461)10now do 9's comp.=999-461=538then do 10's = 1then answer is 539 Write your comments here: Updating your Comments.. Updating your Comments..

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