a. 11.001 (2)
b. 1100 (2)
c. 1111 (2)
d. 1011.101 (2)
e. 0.1101 (2)
Ans:
a. 11.001 (2)
= 1×21 + 1×20 +
0×2-1 + 0×2-2 + 1×2-3
= 2 + 1 + 0 + 0 + 0.125
= 3.125
b. 1100 (2)
= 1×23 + 1×22 +
0×21 + 0×20
= 8+4+0+0
= 12
c. 1111 (2)
= 1×23 + 1×22 +
1×21 + 1×20
= 8 + 4 + 2 + 1
= 15
d. 1011.101 (2)
= 1×23 + 0×22 +
1×21 + 1×20 + 1×2-1 + 0×2-2 + 1×2-3
= 8 + 0 + 2 + 1 + 0.5 + 0 + 0.125
= 11.625
e. 0.1101 (2)
= 1×2-1 + 1×2-2
+ 0×2-3 + 1×2-4
= 0.5 + 0.25 + 0 + 0.0625
= 0.8125
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