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Chapter 1, , , , , ' Introduction to number system ae, &, , \@ r viiupewr PAA, , , , A, Tick (V) the correct answer and fill in the blank., 1, is the only machine understandable language., wy Binary language O Programming language 0 C++, 2, io. of unique digits used in a number system is known as _ —, radix XO power 0 decimal, , 3, There are digits in binary number system., a ? 0 > ) 10 vq, 4. All digital computers use iu. number system., , (Binary Hexadecimal { ] Both of these, , 5. The base of hexadecimal number system is, , (ris 8 7) 0, , B. Match the following., 1, (11), (a) Binary number system ~ 2., 2. (1001), (b) De stem — 4, 3. 0,1,2 (c) Hexadecimal number system = 4y, , 0,1, 2,8, F (4) Octal number system ~ 2 i, , , , , , C. Fillin the blanks using the given words., , , , The octal number sy, , I, 2. The computers process the user's data after con, n, the number 15 is represented by, , , , , , 3. In hexadecimal number s, , 4, The value of each digit in a number depends upon ts position from __, , in binary number system

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1. Define radix or base., » Ans:- The number of unique digits is, nown as base or radix of the number, system., , , , ’- 2.Name the number system with 10 as, base., , ‘ Ans: Decimal number system has a base, , of 10., , , 3. In which number system letters A B C D, E and F are used?, , Ans: ABCD E and F are used in, Hexadecimal number system., , , , , , 4. Which number system use only 0 and 1 a>, » PAdigits? ay, YZ g @) 2 a, , ., = yy r, Ok rs x. AY : ad /_@, ao >> wy)’ Se ( 7 e Sw eS J—_, , , , , wr, , , , a), . QO, NY

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Ans: Binary, and 1 digits., , . Name the number system whose radix, p is 8., \@ Ans: Octal number system radix or base, , Nee is 8., , he, oes, 7, ., , Qe, , Oe E. Answer in detail:° ~O, ie 1. What is the number system? Explain its, a type., Ans: Number system:A Number System is a way of, writing or expressing numbers of a, , given set using digits or other, symbol., , of Type of Number System:, ) a. Decimal number system a>, @ de, , @y Oy, , S @ <a 7 2, / aos ad L—S>

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c. Binary number system, d. Hexadecimal number system, , 2. Write steps to convert a binary number a, , \, , , , , , , CONVERSION ROM BAY TODECINAL NUMBER SYSTEM My y-], To convert a number represented in binary formato decimal equivalent:, , Step 1: Write the place value of every digit of he binary number by multiplying it with the, power ofthe base 2, starting with power O fom right,, , Step 2: Sum up all products to get the decimal number, a, J] Example: To conver the binary number (1011), into decimal number, , (OLD), = (Lx 25+ (0x2) + (1x2 + (x2, Now, adding up these results we pt:, §+0+2+1=11, , % bedi eid, , aS, , a, , r

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S, , 3. What is the output of the following:, . (1101)2=(, . (43) 10= (, , , , 10, , , , )2