12 - Floating Point Binary

• Computing
• Further Education (Key Stage 5)

12 - Floating Point Binary

Key Objective

Review and reinforce understanding of floating-point binary representation.

Floating point

			-8	4	2	1	1/2	1/4	1/8	1/16
			0	0	0	1	1	0	0	0

-64	32	16	8	4	2	1	1/2
0	0	0	0	0	0	1	1

				-4	2	1	1/2	1/4	1/8	1/16	1/32
				0	0	1	1	0	0	0	0

-1	1/2	1/4	1/8	1/16
1	0	0	1	1

Mantissa

(The number)

-4	2	1
0	1	1

Exponent

(Where's the point)

10011011

NOTE: Throughout this lesson, we will use 5 bits for the mantissa and 3 for the exponent.

-1	1/2	1/4	1/8	1/16
1	0	0	1	1

Mantissa

(The number)

-4	2	1
0	1	1

Exponent

(Where's the point)

10011011

8	4	2	1	1/2
1	0	0	1	1

-1	1/2	1/4	1/8	1/16
1	0	0	1	1

Mantissa

(The number)

-4	2	1
0	1	1

Exponent

(Where's the point?)

10011011

8	4	2	1	1/2
1	0	0	1	1

=9.5

1

0

0

1

1

0

0

1

0

1

0

1

0

1

0

0

Try it

10011010 to denary

01010010 to denary

00010001 to denary

10011011 to denary

-15.2 to 8 bit floating point binary

124 to 8 bit floating point binary