Subject: PRF192- PFC
Workshop 01
Objectives:
(1) Reviewing for number systems
(2) Exploring memory of a C program
Recommendations
Part 1: Students do exercises using notebooks
Part 2: Students develop programs, run them, write down their memory structure to
notebooks.
Part 1: Number systems
Exercise 1 (2 marks): Convert decimal numbers to binary ones
Decimal 4-bit Decimal 8-bit Decimal 16-bit Binary
Binary Binary
9 1001 7 0000 0111 255 0000 0000 1111 1111
7 34 192
2 125 188
15 157 312
12 162 517
11 37 264
6 66 543
5 77 819
8 88 1027
13 99 2055
14 109 63
Exercise 2(2 marks): Convert decimal numbers to binary and hexadecimal ones
Decimal Binary Hexa. Decimal 16-bit Binary Hexadecim
al
9 1001 9 255 0000 0000 1111 1111 00FF
127 0111 1111 9F 192
125 188
157 312
162 517
37 264
66 543
77 819
88 1027
99 2055
109 63
Exercise 3(2 marks): Compute
(b: binary, q: octal, h: hexadecimal)
3245q + 247q = ?q = ?b
1A7Bh + 26FE7h = ?h = ?b
1101101101b - 10110111b =?b
3654q – 337q =?q = ?b
3AB7h – 1FAh = ?h = ?b
36Ah – 576q = ? h = ?b
64AEh – 1001101b= ? q
101101111 b
+ 100111011 b
110110001 b
110001101b
1011010 b* 1011b
1101000b + 2AB h + 345 q = ? h = ? q
3AFh / 1Ch =? b = ?d
3ACh – 562q = ?b = ? d
3FFA h / 327q = ?b = ? d
Exercise 4 (2 marks)
1- Show binary formats of 1-byte unsigned numbers: 251 , 163, 117
2- Show binary formats of 2-byte unsigned numbers: 551 , 160, 443
3- Show binary formats of 1-byte signed numbers: -51 , -163, -117, 320
4- Show the decimal values of 1-byte unsigned representations: :
01100011 b , 10001111 b , 11001010 b , 01001100 b
Part 2: Explore memory structure of programs
Sample
c:22936 ‘A’
23
i:22936 1
16
l:2293 1000
612
f:22936 0.5
08
d:22936 12.809
00
Complete the code of following program then draw it’s memory structure
(2 marks)
