problem7

problem7 - Digital Electronics Tutorial Sheet 7 1 What...

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Digital Electronics Tutorial Sheet 7 1.* What values do the following numbers have if they are (a) unsigned and (b) signed? 0101 1101 1111 00100000 11011111 01111110 10000000 2.** Explain why the method presented in the lectures for negating a signed number fails for the maximum negative number in a 2's complement system. 3.* Design a half adder using only NAND gates 4.* Design a full adder using 2 half adders and an OR gate. 5.** Construct the truth table for a 7 segment display decoder to display the hex character set 0, 1, 2, . .., F. 6.** What is the range of possible results from (a) adding and (b) multiplying two N-bit signed numbers? How many bits are required to represent the answer in each case ? 7.** There exists an alarm clock made in the shape of a cube whose alarm is turned off by turning the whole clock upside-down. When you do this, the time display also inverts itself so that you can still read the time. Using the standard circuits you have met in lectures, design the circuitry

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This note was uploaded on 04/25/2008 for the course EEE E1.x taught by Professor Cheung during the Fall '07 term at Imperial College.

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problem7 - Digital Electronics Tutorial Sheet 7 1 What...

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