CS501 Assignment No. 5 solution

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CS501 Assignment No. 5 solution

Q: 1 Convert the following base12 numbers to decimal numbers. Assume that
 they are unsigned.
 1. 9A6B12
 x = 0
 x = x + 9 = 9
 x = 12x9 + A = 118
 x = 12x118 + 6 = 1422
 x = 12x1422 + B = 17075
 So, 9A6B12 = 1707510
 2. AABB12
 x = 0
 x = x + A (=10) = 10
 x = 12x10 + A (=10) = 130
 x = 12x130 + B (=11) = 1571
 x = 12x1571 + B (=11) = 18863
 So, AABB12 = 1886310

 Q: 2 Convert the following base10 number to base2 number.
 1. 0.7510
 0.75x2 = 1.5, f-1 = 1
 0.5x2 = 1.0, f-2 = 1
 So 0.7510 = (0.11)2

 Q: 3 Convert the following base16 number to decimal number.
 1. 0.ABC16
 F = 0
 F = (0 + 12) / 16 = 0.75
 F = (0.75 + 11) / 16 = 0.734375
 F = (0.734375 + 10) / 16 = (0.6708984)10