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BASED TO DECIMAL SYSTEM

Computer-Studies

NUMBER BASES

NUMBER BASES CONVERSION OF OTHER BASED TO DECIMAL SYSTEM To convert numbers in other bases to denary system, expand the given number in powers of its base and evaluate. Examples 1) Convert the following numbers to base ten (i) 10012 (ii) 255eight (iii) 35416 (i) 10012 = 1 x 23 + 0 x 22 + 0 x 21 + 1 x 20 = 1 x 8 + 0 x 4 + 0 x 2 + 1 x 1 = 8 + 0 + 0 + 1 = 9ten (ii) 255eight = 2 x 82 + 5 x 81 + 5 x 80 = 2 x 64 + 5 x 8 + 5 x 1 = 128 + 40 + 5 = 173ten (iii)   35416 = 3 x 162 + 5 x 161 + 4 x 160 = 3 x 256 + 5 x 16 + 4 x 1 = 768… Read More »NUMBER BASES

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