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Multiprocessor & Multicomputer
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Motherboard
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CPU
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Multi-core
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multiprocessor
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multicomputer
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Computer Arithmetic
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Addition & Subtraction Signed - Magnitude
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Hardware Architecture
Cont.… Hardware Architecture
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Cont.… Flowchart
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Addition & Subtraction Signed – 2’s Complement
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Multiplication Signed - Magnitude
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Cont.…
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Cont.… Example Number1 X Number 2 Multiplicand in B
Multiplier in Q E A Q SC shr(EAQ) Final Product in AQ
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Multiplication Signed – 2’s Complement (Booth’s)
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Cont.… Flowchart
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Cont.… Example Number1 X Number 2 Multiplicand in BR
Multiplier in QR Qn Qn+1 AC QR SC Ashr(AC & QR) Final Product in AC QR
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Division Signed – 2’s Complement
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Cont.… Example
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Cont.… Example
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Cont.… Example
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Array Multiplier ‘J’ is Multiplier ‘k’ is Multiplicand J*k AND gates
(J-1)*k HA Here, a is Multiplier And b is Multiplicand
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Addition & Subtraction Floating Point Numbers
Hardware Architecture The algorithm can be divided into four consecutive parts: 1. Check for zeros. 2. Align the mantissas. 3. Add or subtract the mantissas 4. Normalize the result
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Flowchart
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Multiplication Floating Point Numbers
The algorithm can be divided into four consecutive parts: 1. Check for zeros. 2. Add the Exponents. 3. Multiply the mantissas. 4. Normalize the Product.
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Flowchart
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Division Floating Point Numbers
The algorithm can be divided into four consecutive parts: 1. Check for zeros. 2. Subtract the Exponents. 3. Divide the mantissas.
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Flowchart
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Derivation of BCD Adder
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Block Diagram of BCD Adder
Cont.… Block Diagram of BCD Adder
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Decimal Addition & Subtraction
One stage of Decimal Arithmetic Unit
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Parallel Decimal Addition
All Serial Addition
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Digit Serial and Bit Parallel Addition
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Decimal Multiplication & Division
Registers for Decimal Arithmetic Multiplication and Division
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Flowchart for Multiplication
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Flowchart for Division
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