Computer Science, asked by himanshisingh77, 1 year ago

(a) (10101)2
(b) (12570)8
(c) (19FDE)16
convert the following no into their equivalent decimal numbers please​

Answers

Answered by imshanu
7

Hi there,

(a)27

(b)5496

(c)106472

Thanks

Answered by Anonymous
6

Answer:

(a) 21

(b) 5496

(c) 106462

Explanation:

(a) \mathsf{10101_{2} = ?_{10}}

\mathsf{(1 \times 2^{4}) +(0 \times 2^{3})+(1 \times 2^{2})+(0 \times 2^{1})+(1 \times 2^{0})}

\mathsf{(1 \times 16)+(0 \times 8)+(1 \times 4)+(0 \times 2)+(1 \times 1)}

\mathsf{16+0+4+0+1=21}

\textsf{Hence, we write:}

\mathsf{10101_{2} = 21_{10}}

\\

(b) \mathsf{12570_{8} = ?_{10}}

\mathsf{(1 \times 8^{4})+(2 \times 8^{3})+(5 \times 8^{2})+(7 \times 8^{1})+(0 \times 8^{0})}

\mathsf{(1 \times 4096)+(2 \times 512)+(5 \times 64)+(7 \times 8)+(0 \times 1)}

\mathsf{4096+1024+320+56+0=5496}

\textsf{Hence, we write:}

\mathsf{12570_{8} = 5496_{10}}

\\

(c) \mathsf{19FDE_{16} = ?_{10}}

\mathsf{(1 \times 16^{4})+(9 \times 16^{3})+(F \times 16^{2})+(D \times 16^{1}) +(E \times 16^{0})}

\mathsf{(1 \times 65536)+(9 \times 4096)+(15 \times 256)+(13 \times 16)+(14 \times 1)}

\mathsf{65536+36864+3840+208+14=106462}

\textsf{Hence, we write:}

\mathsf{19FDE_{16} = 106462_{10}}

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