Answer:
i. 10210212
ii. 100 101 001 in BASE 2
iii. 46.4631
iv. 12.453125
Explanation:
i. Converting to base 10 we get
= 10 x 162 + 13 x 161 + 9 x 160 = 2777
Converting to base 10 we get =
2777/3 = 925 with remainder 2
925/3 = 308 with remainder 1
308/3 = 102 with remainder 2
102/3 = 34 with remainder 0
34/3 = 11 with remainder 1
11/3 = 3 with remainder 2
3/3 = 1 with remainder 0
1/3 = 0 with remainder 1
Hence the Answer is 10210212
ii. = Octal is taken in pair of 3 bits , Writing binary of each number in 3 bits we get = 100 101 001 in BASE 2
iii. = 1 x 52 + 2 x 51 + 3 x 50 + 3 x 5-1 = 38.6 in decimal
Converting to Octal we get
38 /8 = 4 with remainder 6
4 /8 = 0 with remainder 4
.6 x 8 = 4.8
.8 x 8 = 6.4
46.4631
iv. = 1x 81 + 4 x 80 + 3 x 8-1 + 5 x 8-2 = 12.453125
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