Questions and Answers
How is the sign of a binary number represented in a computer?
Using 0 and 1
What are the two parts of an n-bit signed binary number?
Sign bit and magnitude
What is the significance of the leftmost bit in a signed binary number?
It is the sign bit
What range of data can an 8-bit unsigned number represent?
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What range of data can an 8-bit signed number represent?
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Study Notes
Binary Number Representation
- In a computer, the sign of a binary number is represented by the leftmost bit, also known as the most significant bit (MSB).
- This bit is used to indicate whether the number is positive (0) or negative (1).
Structure of an n-bit Signed Binary Number
- An n-bit signed binary number consists of two parts: the sign bit (most significant bit) and the magnitude bits (remaining bits).
Significance of the Leftmost Bit
- The leftmost bit (MSB) determines the sign of the number: 0 for positive and 1 for negative.
Range of 8-bit Unsigned Numbers
- An 8-bit unsigned number can represent a range of data from 0 to 255 (2^8 - 1).
Range of 8-bit Signed Numbers
- An 8-bit signed number can represent a range of data from -128 to 127 (2^7 - 1 to 2^7 - 1).
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