CSE 227 - Practice Set 1 - L1 to L7.pdf - CSE 227 –...

CSE 227 – Practice Question Set 1
1
CSE 227 – Practice Questions Set -1
1. BINARY SYSTEMS & LOGIC
a) What is a bit, nibble and byte?
b) Convert the following numbers to decimal (show your working)
i) 11001
2
ii) 101101
2
iii) 101010111
2
iv) 1010.011
2
v) 1001001.011
2
vi) 12121
3
vii) 1032.2
4
viii) 198
12
c) Convert the following numbers into binary (show your working)
i) 25
10
ii) 127
10
iii) 343
10
iv) 0.6875
10
v) 215.75
10
d) Convert the following numbers to octal and hexal numbers
i) 10110001101011.111100000110
2
ii) 11010111.110
2
e) Perform the following arithmetic operations in binary (show your working):
i) 1010 + 1101
ii) 1011 + 111
iii) 1111 − 1010
iv) 1110 − 101
v) 1101 × 101
f) Obtain the 2’s and 1’s compliment of the following binary numbers:
i) 101100
2
ii) 0.0110
2
iii) 1010101
2
iv) 0111000
2
g) Obtain the 10’s and 9’s compliment of the following decimal numbers:
v) 52520
10
vi) 0.3267
10
vii) 25.639
10
viii) 13579
10
h) Using 2’s compliment, perform the following subtraction (show your working):
256
10
− 135
10
What is the reason for using r’s or r - 1’s compliment for subtraction?

CSE 227 – Practice Question Set 1
2
i) Draw a simple model of a digital system.