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Solution :-, 2/4, 220, 2 [T0, 2 5, Yemainder, O•25 x2 = 0•51 rard, Integer Fraction, Part, part, %3D, - LSB, O MSB, 0.5, 0.0, Stop, %3D, ↑, (41:25)10=(101001- 0)2, Hence,, 2 1, 1 - MSB, stop, (41),0= (101001),, (Ansover), Example-2 (Deciumal- to- Octal) t-of veenid )L-equin., Convert (153.513)10 to Octal. o ioAN O, Solution, Integer, part, Fraction, part, O.104, 0:104x8 = 0832 000, O.513 X8 = 4.104, 8 153 temainder, 4., こ。, 8 19, 812, 0.838 * 8=6.656, O.656x8 = 5.248, 0.832, 0-656, 9., 3, ↑ -, らV, 0•248, 2, 231, =40.4065, %3D, so, (153.513)10 =(231· 4065..)g. Ang, Example- 3 ( Decinal-to-Hexadacinal, convertr (937.52)io to Hexadecimal., solution, fract., 0.32, 0.52x16=8:32, 16 58, 1613 10= A) tip, b., 0.12, 2 0-851, 3., L=349., So, (937.52)10=349. 85)16 ot o quon
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he Conversion, (C) Conversion bet" Binary & Octal Numbers :, Since, 2=8, each_octal digit coesponds to three,, binary digitsse:0 = *ef0, The canversion from binary to-ctal is gasily accomplishud by, grouping thire digits, each, starting from the binary, point and proceeding to lhe left & right, * the comesponding octal digit is then assigned to each, group., The Conversion from Octal-to-Binary-, Each Octal digit is converted to its three- digit, binary, Example-( Binary-to-Octal, got2, equivatent., Convert (1101011 10101), to Octal.éci) o, Solution, 12, 00 1 101 011 - 101 OTO, (153.52), And, 2 急, 5 3, 5, 2, Octal-to- Binary, Convert (637 15)3 to Binany. = ol EI2:E 02, Solution.:-, 6 3715 = 1 | 00110), An, Example-2, 8,, 10, 001 101, Lottula, Table 2.2 Octal digit and its binary equivalent, Octal, Binary, 000, 1, 001, 010, 3., 011, 4., 100, 5, 101, 6., 110, 111
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Conversion from Binary-toah, (D) CONVERSION BETWEEN BINARY AND HEXADECIMAL, Table 2.3 Hexadecimal digit and its binary equivalent, Hexadecimal, Binary, Hexadecimal, Binary, 0000, 1000, 1, 0001, 1001, 0010, A, 1010, (Bof, 0011, 1011, 0100, C, 1100, 5, 0101, 1101, 6., 0110, E, 1110, 7, 0111, 1111, Since 24= 16 , each hexadecimaf digit comesponds to faur, binary digits., Conversion from, Group of four binary dugits each, starting trom hã, binary point & proceding to lhã left &right., Hexadecimal., hexadecimal digit is, Then' lhe conesponding, assigned to each' grup.