1.Convert the octal number 77.20 to decimal
77.20
111111.010000
3F.40
2.What is the two’s complement of the binary number 01010101?
参见week1 p37
100000000
- 01010101
----------------
10101011
或者就是取反加1
- What is the hexadecimal value of the decimal number 28?
28 = 16 + 12
故
0x1C
- A standard deck of playing cards has 52 cards. What are the minimum number of bits required to assign each card a unique binary code?
32 < 52 < 64
故
minimum number of bits are 6
- Calculate the r-1’s complement of (11001)2. 参见week1 p40
取反即可
00110
- Calculate the r’s complement of (11010111)2 同第2题，取反加1
00101001
- Given the minterms (0,2,4,5) of function F(a,b,c), write the standard form for expression F. 参见week2 p12和p17
Fm = a'b'c' + a'bc' + ab'c' + ab'c
8-9.
参考： week2 p41 异或： blog.csdn.net/A12115419/a… 卡诺图化简： blog.csdn.net/hahasusu/ar… 答案：
y2 = b'(c+d+e)f = b'cf + b'df + b'ef
10-12.
参考： week2 p13 卡诺图术语： blog.csdn.net/weixin_4412…
答案：
Short Answer Question 1 - The Keyboard Encoder
答案：
a) Neatly state your ordered truth table for this design. Clearly label inputs, output,and all ensure all literals match the given labels.
b) Neatly create and complete the required k-maps for your design based upon your truth table. Clearly label the tables showing literals and outputs. [2.5 marks]
c) Minimize the k-maps using the minterms. Clearly state each Boolean function.Ensure to write each term in alphabetical order (i.e., correct: pqrst, incorrect:stqpr ). [2.5 marks]
d) Very neatly draw your design’s digital circuit using standard logic symbols.
Short Answer Question 2 - The Display
参考： www.electricaltechnology.org/2018/05/bcd…
electronics.stackexchange.com/questions/4… 答案：
