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Convert (0.345)10 into an octal number.(a) (0.16050)8(b) (0.26050)8(c) (0.19450)8(d) (0.24040)8This question was posed to me during an interview.Origin of the question is Number System topic in chapter Number System and Codes of Digital Circuits

Answer»

The correct choice is (B) (0.26050)8

For explanation: Converting decimal fraction into OCTAL number is ACHIEVED by multiplying the fraction part by 8 everytime and COLLECTING the integer part of the result, UNLESS the result is 1.

0.345*8 = 2.762

0.760*8 = 6.086

00.08*8 = 0.640

0.640*8 = 5.125

0.120*8 = 0.960

So, (0.345)10 = (0.26050)8.



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