Question

a binary number is represented by(cdccddcccddd)2,where c>d.what is it's decimal​

Answer 1

Answer:

Step-by-step explanation:

Answer

Binary numbers are represented by 0's and 1's

Given c>dc>d

therefore (cdccddcccddd)_2=(101100111000)_2

∴(cdccddcccddd) 2

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=(101100111000) 2

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(101100111000)_2 = (1 \times 2^{11}) + (0 \times 2^{10}) + (1 \times 2^9) + (1 \times 2^8) + (0 \times 2^7) + \\(0 \times 2^6) + (1 \times 2^5) + (1 \times 2^4) + (1 \times 2^3) + (0 \times 2^2) + (0 \times 2^1) + (0 \times 2^0) = (2872)_{10}(101100111000) 2

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=(1× 2* 11)+(0×2 *10)+(1×2 *9)+(1×2* 8)+(0×2 *7 )+(0×2 *6)+(1×2*5 )+(1×2 *4 )+(1×2 *3)+(0×2 *2 )+(0×2 *1 )+(0×2 *0)=

(2872) 10

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\therefore (101100111000)_2=(2872)_{10}∴(101100111000)

2

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=(2872) 10

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