Chapter 3, Problem 43E

Program Plan Intro

Sign-Magnitude Representation:

• Generally, the numbers consists of a sign and a value (magnitude).
• Sign is used to indicate whether the number is positive or negative.
  • Positive numbers are represented as unsigned numbers.
  • Negative numbers are represented with a negative sign “-” in front of the numbers.
  • Example: +21, -45, 34.
  • Representing the numbers in this way is known as sign-magnitude.
• Binary number system uses only two bits “0 and “1”.
• Binary number system uses Most Significant Bit (MSB) to represent the positive and negative binary numbers.
• MSB is used to represent the sign and remaining bits are used to represent the magnitude value.
• If the sign bit is “0” then it indicates that the binary number is positive.
• If the sign bit is “1” then it indicates that the binary number is negative.

Number Line:

• Number line is a line used to represent the real numbers in a horizontal line.
• Every point in a horizontal line represents a real number.
• Positive numbers are represented to the right of zero and negative numbers are represented to the left of zero.
• Number line is mainly used for the operation of basic addition and subtraction performed on negative numbers.