Number Systems Basics
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Number Systems Basics

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@DurableSlideWhistle

Questions and Answers

What is the weight of the digit '5' in the decimal number 1358.246?

The digit '5' has a weight of 10^1 in the decimal number 1358.246.

How can the binary number 1101.011 be written mathematically?

The binary number 1101.011 can be written mathematically as: (1 × 2^3) + (1 × 2^2) + (0 × 2^1) + (1 × 2^0) + (0 × 2^-1) + (1 × 2^-2) + (1 × 2^-3).

What is the weight of the digit '7' in the octal number 1457.236?

The digit '7' has a weight of 8^1 in the octal number 1457.236.

Explain the difference between the integer part and fractional part in the binary number system.

<p>In the binary number system, the part of the number that lies to the left of the binary point is known as the integer part, while the part that lies to the right of the binary point is known as the fractional part.</p> Signup and view all the answers

How does the weight of the positions in the octal number system differ from the decimal number system?

<p>In the octal number system, the successive positions to the left of the octal point have weights of 8^0, 8^1, 8^2, 8^3, and so on, whereas in the decimal number system, the successive positions to the left of the decimal point have weights of 10^0, 10^1, 10^2, 10^3, and so on.</p> Signup and view all the answers

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