# What are the ranges of positive no and negative no that can be represented in the IEEE 754 format?

## What are the ranges of positive no and negative no that can be represented in the IEEE 754 format?

3. Note that, since 8-bit binary numbers can range from 0 to 255, exponents in single precision format can range from -126 to +127, that is from 2-126 to 2127 or, approximately, 10-38 to 1038 in size. In “excess 127 form” negative exponents range from 0 to 126, and positive exponents range from 128 to 255.

**What is the hexadecimal value of A?**

Hexadecimal values

Hex | Binary | Decimal |
---|---|---|

A | 1010 | 10 |

B | 1011 | 11 |

C | 1100 | 12 |

D | 1101 | 13 |

**What is the largest positive number that can be represented in a 32-bit 2’s complement scheme?**

2147483647

In binary, 2147483647 is 01111111111111111111111111111111 and it’s the biggest positive number that will fit in 32 bits when using the “two’s complement” notation — the way of representing numbers that allows for negative values.

### Why do we add 127 to exponent?

The eight-bit exponent uses excess 127 notation. What this means is that the exponent is represented in the field by a number 127 greater than its value. Why? Because it lets us use an integer comparison to tell if one floating point number is larger than another, so long as both are the same sign.

**What is a standard normal distribution table?**

Courtney K. Taylor, Ph.D., is a professor of mathematics at Anderson University and the author of “An Introduction to Abstract Algebra.” Normal distributions arise throughout the subject of statistics, and one way to perform calculations with this type of distribution is to use a table of values known as the standard normal distribution table.

**What is the normal distribution below the bell curve?**

In this instance, the normal distribution is 95.3 percent because 95.3 percent of the area below the bell curve is to the left of the z-score of 1.67. The table may also be used to find the areas to the left of a negative z -score. To do this, drop the negative sign and look for the appropriate entry in the table.

## How do you use the z-score of a normal distribution?

Anytime that a normal distribution is being used, a table such as this one can be consulted to perform important calculations. In order to properly use this for calculations, though, one must begin with the value of your z-score rounded to the nearest hundredth.

**Which table represents PR(Z ≤ Z)?**

STANDARD NORMAL DISTRIBUTION TABLE represent Pr(Z ≤ z). The value of z to the first decimal is given in the left column. The second decimal is given in the top row.