4-12 Vol. 1

DATA TYPES

Figure 4-10.  Binary Real Number System

Figure 4-11.  Binary Floating-Point Format

Table 4-5.  Real and Floating-Point Number Notation

Notation

Value

Ordinary Decimal

178.125

Scientific Decimal

1

.

78125E

10 

2

Scientific Binary

1

.

0110010001E

2

111

Scientific Binary

(Biased Exponent)

 

1

.

0110010001E

2

10000110

IEEE Single-Precision Format

Sign

Biased Exponent

Normalized Significand

0

10000110

01100100010000000000000
          1. (Implied)

Binary Real Number System

Subset of binary real numbers that can be represented with

IEEE single-precision (32-bit) floating-point format

+10

10.0000000000000000000000

1.11111111111111111111111

Precision

24 Binary Digits

Numbers within this range
cannot be represented.

ςς

ςς

-100

-10

-1

0

1

10

100

ςς

ςς

-100

-10

-1

0

1

10

100

Sign

Integer or J-Bit

Exponent

Significand

Fraction