arrow
arrow
arrow
The range of the numbers that can be represented in 8-bit using 2’s complement representation is
Question

The range of the numbers that can be represented in 8-bit using 2’s complement representation is

A.

–128 to +128

B.

–127 to +127

C.

–128 to +127

D.

More than one of the above

E.

None of the above

Correct option is C

In 8-bit 2's complement representation, one bit is used for the sign (most significant bit), and the remaining 7 bits are used for the magnitude of the number. The range of values that can be represented using 2's complement is from -128 to +127. The most significant bit (MSB) represents the sign, with 0 indicating positive numbers and 1 indicating negative numbers.
Important Key Points:
1. 2's Complement Representation: In this format, the highest bit (MSB) is the sign bit. A '0' in this position represents a positive number, while a '1' represents a negative number.
2. Range Calculation: For an 8-bit system, the range is calculated as follows:
· Positive range: 0 to 127.
· Negative range: -128 to -1.
3. Storage Capacity: The 8-bit 2's complement system allows representation of a total of 256 distinct values, ranging from -128 to 127.

Free Tests

Free
Must Attempt

UPTET Paper 1: PYP Held on 23rd Jan 2022 (Shift 1)

languageIcon English
  • pdpQsnIcon150 Questions
  • pdpsheetsIcon150 Marks
  • timerIcon150 Mins
languageIcon English
Free
Must Attempt

UPTET Paper 2 Social Science : PYP Held on 23rd Jan 2022 (Shift 2)

languageIcon English
  • pdpQsnIcon150 Questions
  • pdpsheetsIcon150 Marks
  • timerIcon150 Mins
languageIcon English
Free
Must Attempt

UPTET Paper 2 Maths & Science : PYP Held on 23rd Jan 2022 (Shift 2)

languageIcon English
  • pdpQsnIcon150 Questions
  • pdpsheetsIcon150 Marks
  • timerIcon150 Mins
languageIcon English
test-prime-package

Access ‘BPSC TRE (11-12)’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow