8.28 Binary & Representation Of Numbers

Whatwouldtherepresentationof7be 1000sclock

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Unformatted text preview: esentation 6 addition of positive numbers works fine? 4 value represented 3 OVERFLOW: if sum is more than max positive, it becomes negative: 2+4 = ­ 4 (unavoidable since we have a fixed word size) 10’s complement 10 0 ­1 ­2 ­3 9 8 0 1 1 7 ­4 3 5 ­5 4 2 2 representation 6 addition of positive and negative numbers… 4 value represented 3 …works because going clockwise 7 is like going counterclockwise 3 10’s complement 10 Addition is moving forward along the number line, subtraction is moving back A – B = A + (– B) Clock Diagram Using 3 digits Using 3 digits If we had 3 digits, which positive and negative numbers could we represent? What would the representation of ­7 be? 1000’s clock 10’s complement 10 000 ­100 900 ­200 800 0 100 100 representation ­300 700 addition of positive and negative numbers… 200 200 300 400 600 500 ­400 0 400 ­500 value represented 300 …works because going clockwise n is like going counterclockwise 1000­n Moving to Binary Moving to Binary Using 4 bits, which positive and negative numbers can we represent? What is the repre...
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