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Binary Number Representation Quiz

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Questions and Answers

In sign magnitude representation, how are negative numbers represented?

By adding 1 to the positive equivalent and flipping the bits.

By setting the most significant bit to 1 and keeping the remaining bits the same as the positive equivalent. (correct)

By simply placing a minus sign (-) before the positive equivalent.

By flipping all the bits of the positive equivalent.

What is the main advantage of two's complement representation over one's complement?

Two's complement eliminates the problem of having two representations for zero. (correct)

Two's complement allows for a larger range of numbers to be represented.

Two's complement simplifies the process of converting between decimal and binary.

Two's complement is more efficient for arithmetic operations.

Which of the following is a valid negative number in one's complement form for an 8-bit system?

10000000

11111111

00000001

11111110 (correct)

How is the two's complement of a binary number calculated?

<p>By adding 1 to the one's complement of the number. (D)</p> Signup and view all the answers

What is the decimal equivalent of the binary number 11111110 in two's complement form?

<p>-2 (B)</p> Signup and view all the answers

Flashcards

Unsigned Binary

A binary number representation that only includes non-negative values.

Sign Magnitude

A way to represent negative numbers by using a sign bit to indicate the sign.

One's Complement

A binary representation method where negative numbers are created by flipping all bits of the positive equivalent.

Two's Complement

An efficient binary representation for signed numbers, allowing for simple arithmetic and only one zero representation.

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Positive and Negative Zero

In sign magnitude and one's complement, both positive and negative representations of zero exist.

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Study Notes

Binary Representation of Integers

Initially, computers used unsigned binary to represent numbers.
This system did not accommodate negative numbers.

Sign Magnitude

To represent negative numbers, sign magnitude was introduced.
This method uses a sign bit to indicate the sign (positive or negative) and the magnitude of the number using binary .
It introduces a positive and a negative zero.

One's Complement

One's complement representation was developed later.
This method uses the ones complement of a positive number to represent a negative number.
It still had two representations of zero, one positive and one negative.

Two's Complement

Finally, two's complement was adopted.
There is now only one representation of zero making it a more efficient way of handling both positive and negative numbers in binary.
This representation flips the bits (ones to zeroes and zeroes to ones) and adds one to the ones complement.

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Description

Test your knowledge on the various systems of binary number representation including unsigned binary, sign magnitude, one's complement, and two's complement. Understand how these methods handle positive and negative values as well as the concept of zero in binary. This quiz is essential for computer science students learning about binary representations.