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please solve all the questions 1. Convert the following numbers to the given bases i) (16140B1.2DF004), to an octal number ii) (111.024)to base 5 iii)

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1. Convert the following numbers to the given bases i) (16140B1.2DF004), to an octal number ii) (111.024)to base 5 iii) (3002.12), to a decimal number iv) (104),4 to base 6 2. Find the r's and (r-1)'s complement of the following numbers i) (8460), ii) (1A900.BA300), iii) (100110100 iv) (1011F.CDO), 3. Perform the subtraction with the following numbers using r's complement approach in baser a) (26.4), -(64.23) b) (1011.10), (110.11), 4. Find the dual and also the complement of the functions given below i) F(x,y,z)=x'yz+(y+z')(xy+z') ii) F(A,B,C,D,E)= DBA'+(CD+B')(AE+C)(AC+D) 5. Given the Boolean Function F(x,y,z,w)=y'z+(w x) i) Draw the logic diagram of the function F using only 2-input NOR gates. ii) Draw it once more using only 2-input NAND gates. 6. Express the following functions in their canonical form (i.e. as a sum of minterms and also the product of maxterms) a) F(x,y,z,w)=(xyz+wz')(w'+z)+x'y'zw+xyz b) F(A,B,C,D)=(A'D'+B+AC)(BC+CD+BD')+ A'BD

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