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Question: (I) Write the binary number 01010101 as a decimal number.

Short Answer

Expert verified

The decimal equivalent of 01010101 is 85.

Step by step solution

01

Understanding of digital electronics

Digital electronics is used to convert an analog signal voltage to a digital voltage in terms of binary codes. There are two possibilities for each bit, 0 and 1.

02

Given data

The binary number is 01010101.

03

Determination of the decimal equivalent

The decimal equivalent of 01010101 is as follows,

\(\mathop 0\limits^7 \mathop 1\limits^6 \mathop 0\limits^5 \mathop 1\limits^4 \mathop 0\limits^3 \mathop 1\limits^2 \mathop 0\limits^1 \mathop 1\limits^0 \)

The decimal number equivalent is,

\(\begin{aligned}{c}{2^0} + {2^2} + {2^4} + {2^6} &= 1 + 4 + 16 + 64\\ &= 85\end{aligned}\)

Thus, the decimal equivalent of 01010101 is 85.

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