GCSE Computing#BristolMet Session Objectives#8 MUST add two 8-bit binary integers SHOULD explain...

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GCSE Computing#BristolMet Session Objectives#8 MUST add two 8-bit binary integers SHOULD explain overflow errors COULD provide solutions to limit overflow errors

description

GCSE Computing#BristolMet Overflow Overflow – when a number becomes too large to fit into the number of bits allocated it is said to ‘overflow’ and some bits are ‘lost’ leaving an incorrect value. For example: Carry 1 1 In this case we need a 9 th column and if the computer only stored 8 bits to store numbers this would the carry from the 8 th column would be lost. This is called overflow – the calculation has overflowed the available space. REVISION: What is the largest number we can store in 8 bit binary?

Transcript of GCSE Computing#BristolMet Session Objectives#8 MUST add two 8-bit binary integers SHOULD explain...

Page 1: GCSE Computing#BristolMet Session Objectives#8 MUST add two 8-bit binary integers SHOULD explain overflow errors COULD provide solutions to limit overflow.

GCSE Computing#BristolMet

Session Objectives#8

MUST add two 8-bit binary integers

SHOULD explain overflow errors

COULD provide solutions to limit overflow errors

Page 2: GCSE Computing#BristolMet Session Objectives#8 MUST add two 8-bit binary integers SHOULD explain overflow errors COULD provide solutions to limit overflow.

GCSE Computing#BristolMet

Adding binary numbers

Adding binary numbers uses the same method as addition in Base10 where you carry 1 across e.g 3 6 7+ 2 8 4

6 5 1Carry 1 1However, in binary remember: Base 10 Binary

1 0 1 2 1 0 3 1 1

Therefore in 4 bit binary: 1 0 1 1 + 1 1 0 1 1 1 0 0 0

Carry 1 1 1 1 Requires another bit

Page 3: GCSE Computing#BristolMet Session Objectives#8 MUST add two 8-bit binary integers SHOULD explain overflow errors COULD provide solutions to limit overflow.

GCSE Computing#BristolMet

Overflow

Overflow – when a number becomes too large to fit into the number of bits allocated it is said to ‘overflow’ and some bits are ‘lost’ leaving an incorrect value.

For example:

1 1 0 0 0 0 1 0+ 1 0 1 1 1 0 1 0

0 1 1 1 1 1 0 0 Carry 1 1

In this case we need a 9th column and if the computer only stored 8 bits to store numbers this would the carry from the 8th column would be lost. This is called overflow – the calculation has overflowed the available space. REVISION: What is the largest number we can store in 8 bit binary?

Page 4: GCSE Computing#BristolMet Session Objectives#8 MUST add two 8-bit binary integers SHOULD explain overflow errors COULD provide solutions to limit overflow.

GCSE Computing#BristolMet

Adding binary examples

TASK: Complete addition questions worksheet and test your answers using decimals

ANSWERS Q1

Q2


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