The leading bit stands for the _____ and the remaining bits for the _____ is known as signed binary numbers. A. sign, remainder B. sign, magnitude C. value, sign D. variable, value E. None of the above

sign, remainder
sign, magnitude
value, sign
variable, value E. None of the above

The correct answer is: B. sign, magnitude

A signed binary number is a binary number that uses one bit to represent the sign of the number (positive or

negative) and the remaining bits to represent the magnitude of the number. The leading bit, also known as the sign bit, is always 0 for positive numbers and 1 for negative numbers. The remaining bits, also known as the magnitude bits, represent the absolute value of the number.

For example, the binary number 10101010 is a signed binary number. The sign bit is 1, so the number is negative. The magnitude bits are 0101010, so the absolute value of the number is 10101010. This number can be represented in decimal as -256.

The other options are incorrect because:

  • Option A: The leading bit does not stand for the remainder. The remainder is the result of dividing a number by another number. In signed binary numbers, the remainder is not used.
  • Option C: The leading bit does not stand for the value. The value of a number is the number itself. In signed binary numbers, the value is represented by the magnitude bits.
  • Option D: The leading bit is not a variable. The leading bit is always either 0 or 1.
  • Option E: None of the above is correct.
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