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# Note for Basic Electronics - BE by shantanu kumar

• Basic Electronics - BE
• Note
• the lnm institute of information and technology - LNMIIT
• 2 Topics
• 33 Views
Shantanu Kumar
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NUMBER SYSTEM Electronics - I, The LNM Institute of Information Technology, Jaipur 2

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Numbers Every number system is associated with a base or radix A positional notation is commonly used to express numbers (a5 a4 a3a2 a1a0 ) r  a5 r 5  a4 r 4  a3r 3  a2 r 2  a1r1  a0 r 0 The decimal system has a base of 10 and uses symbols (0,1,2,3,4,5,6,7,8,9) to represent numbers (2009)10  2 103  0 102  0 101  9 100 (123.24)10  1102  2 101  3 100  2 10 1  4 10 2 An octal number system has a base 8 and uses symbols (0,1,2,3,4,5,6,7) (2007)8  2  83  0  82  0  81  7  80 What decimal number does it represent? 1031 Electronics - I, The LNM Institute of Information Technology, Jaipur 3

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A hexadecimal system has a base of 16 Number Symbol 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 A 11 B 12 C 13 D 14 E 15 F (2BC9)16 =2 ∗ 163 + 𝐵 ∗ 162 + 𝐶 ∗ 161 + 9 ∗ 160 How do we convert it into decimal number? (2BC9)16 =2 ∗ 163 + 11 ∗ 162 + 12 ∗ 161 + 9 ∗ 160 = 11209 Electronics - I, The LNM Institute of Information Technology, Jaipur 4

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A Binary system has a base 2 and uses only two symbols 0, 1 to represent all the numbers 20 1 21 2 22 4 3 Which decimal number does this correspond to ? 2 8 (1101) 2  1 23  1 22  0  21  1 20 (1101) 2  1 8  1 4  0  21  1 20  13 1101.1001 23 22 21 20 2-4 2-1 2-2 2-3 2-1 2-2 2-3 2-4 2-5 2-6 0.5 0.25 0.125 0.0625 0.03125 0.015625 Electronics - I, The LNM Institute of Information Technology, Jaipur 24 16 25 32 26 64 27 128 28 256 29 512 210 1024(K) 220 1048576(M) 5