1 Write the number 229 in base-2.
11100101
3.2 What is the base-10 value of 11100101?
229
3.3 What are the units (values) of the first 3 columns in a base-8 (octal) number?
64s 8s units
82 81 80
3.4 What is the base-2 value of the base-8 (octal) number 377?
11111111
3.5 Convert the following base-10 numbers to base-2:
37
470
1220
17
99
100101
111010110
10011000100
10001
1100011
3.6 Convert the following base-2 numbers to base-10:
00000111
7
10101010
170
00111001
57
01010101
85
00110011
51
3.7 Assume a 16-bit signed integer data representation where the sign bit is the msb.
a What is the largest positive number that can be represented?
b Write the number 17,440.
c Write the number ??’20.
d What is the largest negative number that can be represented?
a 32,767
b 0100010000100000
c 1111111111101100
d -32,768
ANSWERS TO REVIEW QUESTIONS 185
3.8 Using ASCII encoding, write the bytes to encode your initials in capital letters.
CHR
C 67 1000011
H 72 1001000
R 82 1010010
3.9 Referring to the list of Intel x86 instructions in this chapter, arrange a set of instructions to add the
values stored in memory locations 50 and 51, and then to store the result in memory location 101.
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