Current size definition

Normalised floating point binary representation with a mantissa and exponent both in two's complement binary

Mantissa:

6

Exponent:

4

Valid range for positive values:

0.001953125 to 124

0.000000001 to 1111100

Valid range for negative values:

-0.001953125 to -128

-0.000000001 to -10000000

Change the size of the mantissa and exponent

Select the size of the mantissa

Select the size of the exponent

The following is the floating point representation of a number

Mantissa

Exponent

1

●

1

0

1

1

1

0

0

0

1


The value is not normalised. What is the normalised form of this binary number?

Mantissa

            

Exponent

                

What is the Normalised Floating Point representation of the denary value 0.007568359375

Mantissa

            

Exponent

                

The following is the binary floating point representation of a number

Mantissa

Exponent

0

●

1

1

0

1

1

1

1

1

0


Calculate the denary equivalent of the number

The following is an approximate binary floating point representation of the number 0.07

Mantissa

Exponent

0

●

1

0

0

1

0

1

1

0

1


Calculate the denary equivalent of the binary number