Computer Science

Convert the following binary number to its decimal equivalent:
(10100.11)₂ to ( )₁₀

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Converting integral part

Binary No	Power	Value	Result
0	2⁰	1	0x1=0
0	2¹	2	0x2=0
1	2²	4	1x4=4
0	2³	8	0x8=0
1	2⁴	16	1x16=16

Converting fractional part

Binary No	Power	Value	Result
1	2^-1	0.5	1x0.5=0.5
1	2^-2	0.25	1x0.25=0.25

Equivalent decimal number = 4 + 16 + 0.5 + 0.25 = 20.75

Therefore, (10100.11)₂ = (20.75)₁₀

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