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Under signed bit the range of char varies from?Options-127 to +128-128 to +127-255 to 00 to +255

Question

Under signed bit the range of char varies from?

  • Options:
    • 127 to +128
    • -128 to +127
    • -255 to 0
    • +255
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Solution

To determine the range of a signed char in C or similar programming languages using signed bit representation, let's analyze the question step by step.

Break Down the Problem

  1. We need to find the range of a signed char.
  2. Consider the possible values of a signed char.
  3. Evaluate the given options to identify the correct range.

Relevant Concepts

  1. In a signed 8-bit char, 1 bit is used for the sign (positive or negative), and 7 bits are used for the value.
  2. The maximum value for 7 bits is 271=1272^7 - 1 = 127.
  3. The minimum value is 27=128-2^7 = -128.

Analysis and Detail

  1. The range of signed char can be calculated as follows:
    • Minimum value: -128 (representing 10000000210000000_2)
    • Maximum value: +127 (representing 01111111201111111_2)
  2. Therefore, the range of a signed char is from -128 to +127.

Verify and Summarize

  • We confirmed the calculations are accurate.
  • The range from -128 to +127 aligns with the properties of signed 8-bit integers.

Final Answer

The range of a signed char is -128 to +127.

This problem has been solved

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