Number System Flashcards

1
Q

With a base ‘b’ how many digits can the number have

A

0 to b-1

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2
Q

base can start from?

A

b>=2

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3
Q

another name for base

A

radix

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4
Q

binary contains?

A

0,1

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5
Q

octal contains?

A

0-7

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6
Q

decimal contains?

A

0-9

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7
Q

hexadecimal contains?

A

0-9 and A-F

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8
Q

formula including required base , given base and integer

A

required base = (given base)^ integer

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9
Q

how to convert integer part of a no.in decimal to other base

A

divide using the given base repeatedly

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10
Q

how to convert fractiona part of a no. in decimal to other base

A

multiply using the given base repeatedly

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11
Q

as base value decreases , the value of the no. increase or decrease

A

increase

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12
Q

as base value increase , the value of the no. will?

A

decrease

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13
Q

relationship between base value and no. value

A

inversely proportional

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14
Q

convert any base to decimal

A

expand polynomial and multiply every particular digit by the base raised to power of the unit of the digit

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15
Q

How to convert a no. from base b1 to base b2?

A

First convert no. from b1 to decimal then from decimal to b2.

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16
Q

Convert from (x)b1 to ( )b2 when x<b2 then in b2 base , value of x?

A

x

17
Q

Whenever you want to compare two nos. they should have the same?

A

base

18
Q

When can we use grouping technique ?

A

When required base = (given base)^integer

19
Q
A