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(Solved): 2. Convert following decimal numbers to binary number, octal number, \( \mathrm{BCD} \) code and Gr ...
2. Convert following decimal numbers to binary number, octal number, \( \mathrm{BCD} \) code and Gray code respectively. 1) 255 2) 26 3) 1023 4) \( 0.828125 \) 5) \( 0.256( \) Accuracy \( =0.1 \%) \) 6) \( 11.274( \) Accuracy \( =1 \%) \)
Expert Answer
Decimal to Binary 1) 255 = 1111 1111 Divide by the base 2 to get the digits from the remainders: Division by 2 Quotient Remainder (Digit) Bit # (255)/2 127 1 0 (127)/2 63 1 1 (63)/2 31 1 2 (31)/2 15 1 3 (15)/2 7 1 4 (7)/2 3 1 5 (3)/2 1 1 6 (1)/2 0 1