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Unit – 1 : Computer Systems and Organisation, Ch. 2 Number Systems, I., , VSAQs [textbook Qs. 1 – 10 pg. 28], , II., , MCQs, *[ students are to solve MCQs 1 – 9 their own on Rough area of subject notebook and, then write the correct option ], 10. (a) Binary, , III. THEORY QAs, 1. The steps to convert a decimal number to a binary number are:, (i), , Divide the given decimal number by 2,, , (ii), , Note down the remainder at each step,, , (iii), , Write the remainders so obtained in reverse order,, , (iv), , The binary number is obtained., , 2. The steps to convert a decimal number to an octal number are:, (i), , Divide the given decimal number by 8,, , (ii), , Note down the remainder at each step,, , (iii), , Write the remainders so obtained in reverse order,, , (iv), , The corresponding octal number is obtained., , 3. The steps to convert a decimal number to a hexadecimal number are:, (i) Divide the given decimal number by 16,, (ii) Note down the remainder at each step,, (iii) Write the remainders so obtained in reverse order,, (iv) The corresponding hexadecimal number is obtained., , 4. The steps to convert a binary number to a decimal number are:, (i) Take note of the given binary number,, (ii) Multiply the first digit from the right with 20,, (iii) Second with 21, the third with 22 and so on,, (iv) Finally, add all the numbers so obtained to get the corresponding decimal number., 1

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5. The steps to convert an octal number to a decimal number are:, (i) Take note of the given octal number,, (ii) Multiply the first digit from the right with 80,, (iii) Second with 81, the third with 82 and so on,, (iv) Finally, add all the numbers so obtained to get the corresponding decimal number., , 6. The steps to convert a hexadecimal to a decimal number are:, (i) Take note of the given hexadecimal number,, (ii) Multiply the first digit from the right with 160,, (iii) Second with 161, the third with 162 and so on,, (iv) Finally, add all the numbers so obtained to get the corresponding decimal number., , 7. The steps to convert an octal number to a binary number are:, (i) Note the given octal number,, (ii) Write the corresponding binary in 3-bits for each octal digit,, (iii) Concatenate the bits so obtained to get the corresponding binary., , 8. The steps to convert a hexadecimal to a binary number are:, (i) Note the given hexadecimal number,, (ii) Write the corresponding binary in 4-bits for each hexadecimal digit,, (iii) Concatenate the bits so obtained to get the corresponding binary., 9. The steps to convert a binary number to an octal number are:, (i) Take note of the given binary number,, (ii) Make triplets from the right of a binary number,, (iii) For each triplet find the corresponding octal digit,, (iv) The required octal number is obtained., 10. The steps to convert a binary number to a hexadecimal number are:, (i) Take note of the given binary number,, (ii) Make quadruples from the right of a binary number,, (iii) For each quadruple find the corresponding hexadecimal digit,, (iv) The required hexadecimal number is obtained., 2

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IV. NUMERICAL Qs:, , [ students are to convert for Qs 1 to 55 referring given notes during class ], ******************, , **Also refer the following on textbook to prepare:, (i), , Appendix 3. Addition & Subtraction of Binary Numbers … @pg. no.315 – 319 …, , 3