Lecture_1

# Lecture_1 - ECE 445 Computer Organization Course...

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ECE 445 – Computer Organization Course Introduction and Review of Arithmetic and Logic Circuits

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ECE 445 - Computer Organization 2 Course Introduction (see Syllabus)
ECE 445 - Computer Organization 3 Review of Arithmetic and Logic Circuits

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ECE 445 - Computer Organization 4 Number Systems Decimal (base 10) Binary (base 2) Octal (base 8) Hexidecimal (base 16) 11 10 = 1011 2 = B 16 -10 10 = -1010 2 = -A 16
ECE 445 - Computer Organization 5 Number Systems Representing Negative Numbers - One's Complement - Two's Complement One's complement using 8 bits 10 10 = 0000 1010 2 -10 10 = 1111 0101 2 Two's complement = One's Complement + 1 -10 10 = 1111 0110 2

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ECE 445 - Computer Organization 6 Arithmetic and Logic Functions
ECE 445 - Computer Organization 7 Overflow Using Two's Complement , overflow occurs when the sign bit of the result is different than the sign bits of the numbers being added. Overflow cannot occur with numbers having opposite signs. Ignore carry-out when implementing addition using Two's Complement . For 3-bit Two's Complement Binary Numbers: 010 2 (2 10 ) 100 2 (-4 10 ) + 011 2 (3 10 ) + 101 2 (-3 10 ) 1 01 (-3 ) 1 0 01 2 (1 10 )

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Lecture_1 - ECE 445 Computer Organization Course...

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