Logical Shifts
Logical Shifts
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Logical shifts are used on unsigned binary numbers. ie. 8 bits numbers within the range 0-255.
Left shift will multiply.
Right shift will divide.
Each place shifted multiplies or divides by a power of 2. 1 shift = multiply or divide by 2. 2 places shifted = multiply/divide by 4. 3 places shifted = multiply/divide by 8.
DEMO
DEMO
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Your turn to practice
Arithmetic Shifts - on SIGNED numbers
Arithmetic Shifts - on SIGNED numbers
Arithmetic shifts are used on SIGNED binary numbers. ie. Two's Complement binary numbers within the range -128 to +127.
The Most Significant Bit (MSB) is the one on the far left. This holds the sign.
If the MSB is 1, the number is negative, with a value of -128. If the MSB is 0, the number is positive.
Left shifting is identical to logical shifts - fill gaps with zeroes.
Right shifting is different because the sign must be kept.
When right shifting, the gaps are filled with copies of the MSB.
Watch the video and take notes.
Watch the video and take notes.
NOW TAKE THE KNOWLEDGE CHECK
NOW TAKE THE KNOWLEDGE CHECK
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