Binary Shifts and Data Representation in Computing
Explore the world of binary shifts, data representation, and the impact they have on numbers in computing. Learn about the inaccuracies that can arise from binary shifts and how they affect numerical values. Discover the basics of binary shifting and its applications in the digital realm.
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Do Now Activity - Whiteboards 19/04/2025 What do you know? 1. Fill in the blank TB / GB / __ / KB 2. 101010 in Denary 3. 130 in Binary 4. 01101111 in Hexadecimal 5. 48 in Decimal 16 Outstanding Explain how a Binary Shift to the right is not always accurate Good - Describe the effect a binary shift has on numbers
Do Now Activity - Answers 19/04/2025 What do you know? 1. Fill in the blank TB / GB / MB / KB 2. 101010 in Denary 42 3. 130 in Binary 10000010 4. 01101111 in Hexadecimal6F 5. 48in Decimal 72 16 Outstanding Explain how a Binary Shift to the right is not always accurate Good - Describe the effect a binary shift has on numbers
Unit 12 Data Representation Lesson 4 Good Describe the effect a binary shift has on numbers Outstanding Explain how a Binary Shift to the right is not always accurate Binary = a BASE 2 number system invented by Gottfried Leibniz
Shifting in Denary 19/04/2025 Here we have the number 320. 100,000 10,000 1000 100 10 1 3 2 0 If we add another 0 to the right side we get 3200 100,000 10,000 1000 100 10 1 3 2 0 0 The number has multiplied by ? Outstanding Explain how a Binary Shift to the right is not always accurate Good - Describe the effect a binary shift has on numbers
Left Binary Shift 19/04/2025 Binary shifting is very similar. Here we have the number 110. 32 16 8 4 2 1 1 1 0 If we add another 0 to the right and shift the numbers left we get 1100 32 16 8 4 2 1 1 1 0 0 The number has multiplied by ? Outstanding Explain how a Binary Shift to the right is not always accurate Good - Describe the effect a binary shift has on numbers
Left Binary Shift 19/04/2025 Here we have the number 111. 32 16 8 4 2 1 1 1 1 If we add two 0 s to the right and shift the numbers left we get 1100 32 16 8 4 2 1 1 1 1 0 0 The number has multiplied by ? Outstanding Explain how a Binary Shift to the right is not always accurate Good - Describe the effect a binary shift has on numbers
Left Binary Shift 19/04/2025 Here we have the number 101. 32 16 8 4 2 1 Denary 1 0 1 5 1 Shift left = x2 1 0 1 0 10 2 Shifts left = x4 1 0 1 0 0 20 3 Shifts left = x8 1 0 1 0 0 0 40 Stretch: How would a computer use this to multiply an number by 6? Outstanding Explain how a Binary Shift to the right is not always accurate Good - Describe the effect a binary shift has on numbers
Right Binary Shift 19/04/2025 Here we have the number 1010. 32 16 8 4 2 1 1 0 1 0 If we remove a bit from the right and shift the numbers right we get 101 32 16 8 4 2 1 1 0 1 The number has ? Outstanding Explain how a Binary Shift to the right is not always accurate Good - Describe the effect a binary shift has on numbers
Right Binary Shift 19/04/2025 Now we have the number 1100. 32 16 8 4 2 1 1 1 0 0 If we remove two bits from the right and shift the numbers right we get 11 32 16 8 4 2 1 1 1 The number has ? Outstanding Explain how a Binary Shift to the right is not always accurate Good - Describe the effect a binary shift has on numbers
Right Binary Shift - Issues 19/04/2025 Now we have the number 101. 32 16 8 4 2 1 1 0 1 If we remove a bit from the right and shift the numbers right we get 10 32 16 8 4 2 1 1 0 Stretch: What is the issue here? Outstanding Explain how a Binary Shift to the right is not always accurate Good - Describe the effect a binary shift has on numbers
