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Mr. Geo purchased (10)2 kg sugar @Rs. (110 10)2 and (1010)2 kg Rice @Rs. (10100)2 . So how much rupees he has to pay in decimal. |
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Answer» Convert each into decimal number system multiply and sum it up. (10)2 = (2)10 (11010)2 = 1 × 24 + 1 × 23 + 0 × 22 + 1 × 21 + 0×21 = 16 +8 + 0 +2 + 0 = (26)10 (1010)2 = 1 × 23 + 0 × 22 + 1 × 21 +0 × 20 = 8 + 0 + 2 + 0 = (10)2 (10100)2 = 1 × 24 + 0 × 23 + 1 × 22 +0 × 21 + 0×20 = 16 + 0 + 4 + 0 + 0 = (20)2 therfore 2 × 26 + 10 × 20 = 52 + 200 = 252 So Mr. Geo has to pay Rs. 252/- |
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