binary to decimal conversion (10101.001)
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10101.001
2^4 +2^2+2^0.2^-3
16+4+1.1/8
21.125
2^4 +2^2+2^0.2^-3
16+4+1.1/8
21.125
Answered by
2
(10101.001)²
= [(1×2⁴)+(0×2³)+(1×2²)+(0×2¹)+(1×2^0)].(0×2^-1)+(0×2^-2)+(1×2^-3)
= (1×16)+(0×8)+(1×4)+(0×2)+(1×1).(0×1/2)+(0×1/4)+(1×1/8)
= (16+0+4+0+1).(0+0+0.125)
= 21.125
= [(1×2⁴)+(0×2³)+(1×2²)+(0×2¹)+(1×2^0)].(0×2^-1)+(0×2^-2)+(1×2^-3)
= (1×16)+(0×8)+(1×4)+(0×2)+(1×1).(0×1/2)+(0×1/4)+(1×1/8)
= (16+0+4+0+1).(0+0+0.125)
= 21.125
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