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0 votes
11.1k views
in Introduction to Computer by (55.8k points)

Convert following binary numbers into decimal number : 

(a) 00111 

(b) 11001 

(c) 1010.001 

(d) 111.11

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1 Answer

+1 vote
by (48.8k points)
edited by

(a) (00111)2  = 0*24+ 0*23 + 1*22 + 1*21 + 1*20 = 0+0+4+2+1=7 

(b) (11001)2  = 1*24 + 1*23+ 0*22 + 0*21 + 1*20 = 16 + 8 + 0 + 0 + 1 = 25 

(c) (1010.001)2 = 1*23 + 0*22+ 1*21 + 0*20.0*2-1 + 0*2-2 +1*2-3 = 8 + 0+2+ 0.0 + 0 + 0.125 = 10.125 

(d) (111.11)2 = 1*22+1*21+1*20 . 1*2-3 + 1*2-2 = 4 + 2 +1 . 0.5 + 0.25 = 7.75

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