Question: Can you display all the steps needed to solve these questions. (3) (a) Convert the binary numbers (11001)2 and (101010)2 to decimal numbers. (b) Convert
Can you display all the steps needed to solve these questions.
(3) (a) Convert the binary numbers (11001)2 and (101010)2 to decimal numbers. (b) Convert decimal numbers (73)10 and (34)10 to binary numbers. (4) When a lens is used to form an image of some object, the focal length f is equal to f=u+vuv, where u is the distance from the object to the lens and v is the distance from the lens to the image. Suppose u and v are approximated as u=1 and v=2 and (u)=(v)=0.1. Find (f). (5) In the figure, the area of the shaded region is determined by T=2r2[sin()], being in radians. Suppose that r is exactly known but that is imperfectly approximated by . If T must be known to accuracy of 0.01 and r=10, how much error is tolerable if the approximation is =0.2rad ? (value of cos(0.2 radians )=0.98)
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