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Question

In the binary number system 100 + 1011 is equal to:

A
1000
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B
1011
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C
1110
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D
1111
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Solution

The correct option is D 1111
(100)2+(1011)2=(0×20+0×21+1×22)+(1×20+1+21+0×22+1×23)
= (0+0+4)+(1+2+0+8)=(15)10
2 15
2 7 -1
2 3 -1
2 1 -1
0 -1
readup the remainders. or (15)10=(1111)2
ALTERNATIVELY :
0100 + 1011 = (1111)2
(1111)2=1×23+1×22+1×21+1×20=(15)10

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