What is floating point number? How is it different to fixed point number? Represent ( 678.001)10 and (-0.00000125)10 in IEEE 754 double precision floating

6/8/2025 2:13:50 AM
Questions › What is floating point number? How is it different to fixed point number? Represent ( 678.001)10 and (-0.00000125)10 in IEEE 754 double precision floating
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AnonymousPublished on: 6/8/2025 2:13:50 AM
What is floating point number? How is it different to fixed point number? Represent ( 678.001)10 and (-0.00000125)10 in IEEE 754 double precision floating point number format.

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admin 5/16/2018 6:01:00 AM

The termfloating pointrefers to the fact that anumber'sradixpoint(decimalpoint, or, more commonly in computers, binarypoint) can "float"; that is, it can be placed anywhere relative to the significant digits of thenumber.

The term 'fixed point' refers to the corresponding manner in which numbers are represented, with afixednumber of digits after, and sometimes before, the decimalpoint. Withfloating-pointrepresentation, the placement of the decimalpointcan 'float' relative to the significant digits of the number.

division = quotient remainder;

678 ÷ 2 = 339 0;

339 ÷ 2 = 169 1;

169 ÷ 2 = 84 1;

84 ÷ 2 = 42 0;

42 ÷ 2 = 21 0;

21 ÷ 2 = 10 1;

10 ÷ 2 = 5 0;

5 ÷ 2 = 2 1;

2 ÷ 2 = 1 0;

1 ÷ 2 = 0 1;

Exponent (adjusted) =

678(10)=

100 0000 1000(2)