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12 - Floating Point Binary

12 - Floating Point Binary
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Slide 1: Slide
ComputingFurther Education (Key Stage 5)

This lesson contains 8 slides, with text slides.

time-iconLesson duration is: 30 min

Items in this lesson

12 - Floating Point Binary

Slide 1 - Slide

Key Objective
Review and reinforce understanding of floating-point binary representation.

Slide 2 - Slide

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

Slide 3 - Slide

-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.

Slide 4 - Slide

-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

Slide 5 - Slide

-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

Slide 6 - Slide

1
0
0
1
1
0
0
1
0
1
0
1
0
1
0
0

Slide 7 - Slide

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


Slide 8 - Slide

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