13. Count from 1 to 20,o in the following bases: a. 8, b. 5 14. Convert the foll

Question

13. Count from 1 to 20,o in the following bases: a. 8, b. 5 14. Convert the following binary numbers to their decimal equivalent: a. 11100.011 b. 110011.10011 15. Convert the following decimal numbers to their binary equivalent: 16. Convert the following hexadecimal numbers to their decimal equivalent: 17. Convert the following decimal numbers to their hexadecimal equivalent: 18. Represent the following decimal numbers in both sign/magnitude and twos complement using a. 34.75 b. 27.1875 a. F.4 b. D3.E a. 204.125 b.631.25 16 bits: +512, -29 19. Represent the following twos complement values in decimal: 1101011; 0101101

Explanation / Answer

13) a. Base - 8
=> 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 17, 20, 21, 22, 23, 24
b. Base -> 5
=> 1, 2, 3, 4,10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40

14) a.11100.011

=> 0 x 20 + 0 x 21 + 1 x 22 + 1 x 23 + 1 x 24 + 0/2 + 1/22 + 1/23
=> 0 + 0 + 4 + 8 + 16 + 1/2 + 1/4
=> 28.375

b.110011.10011
=> 1 x 20 + 1 x 21 + 0 x 22 + 0 x 23 + 1 x 24 + 1 x 25  + 1/21 + 0/22 + 0/23 + 1/24 + 1/25
=> 1 + 2 + 0 + 0 + 16 + 32 + 1/2 + 1/16 + 1/32
=> 51.59375


16) F.4 : 1111.0100  
D3.E : 11010011. 1110


17)
204.125 = 1100 1100.001
=> CC.2

631.25 = 1001110111.01
=> 10 0111 0111.01
=> 277.4


19) 1101011 => 0010101= -21
0101101 => 45

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