06-27-2011, 06:31 PM
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
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
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