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Instructor:
Rodelyn M. Aguinaldo
*Announced quiz, normally every
Friday
.
*
Edmodo
Account
*
Blue pen
during Lab activities.
Convert 18.6875D to binary
Integral Part = 18D
18/2 => quotient=9 remainder=0
9/2
=> quotient=4 remainder=1
4/2
=> quotient=2 remainder=0
2/2
=> quotient=1 remainder=0
1/2
=> quotient=0 remainder=1 (quotient=0 stop)
Hence, 18D = 10010B
Fractional Part = .6875D
.6875*2=1.375 => whole number is 1
.375*2=0.75
=> whole number is 0
.75*2=1.5
=> whole number is 1
.5*2=1.0
=> whole number is 1
Hence .6875D = .1011B
Therefore, 18.6875D = 10010.1011B
From <
>
Convert 18.6875D to hexadecimal
Integral Part = 18D
18/16 => quotient=1 remainder=2
1/16
=> quotient=0 remainder=1 (quotient=0 stop)
Hence, 18D = 12H
Fractional Part = .6875D
.6875*16=11.0 => whole number is 11D (BH)
Hence .6875D = .BH
Therefore, 18.6875D = 12.BH
From <
>
1.9
Exercises (Number Systems Conversion)
Convert the following
decimal
numbers into
binary
and
hexadecimal
numbers:
1.
108
2.
4848
3.
9000
4.
Convert the following binary numbers into hexadecimal and decimal numbers:
5.
1000011000
6.
10000000
7.
101010101010
8.
Convert the following hexadecimal numbers into binary and decimal numbers:
9.
ABCDE
10.
1234
11.
80F
12.
Convert the following decimal numbers into binary equivalent:
13.
19.25D
14.
Computer Organization (Lecture 1)
Sunday, November 09, 2014
10:59 PM
CPE 005B Page 1

This** preview**
has intentionally

19.25D
14.
123.456D
15.
Answers:
You could use the Windows' Calculator (
calc.exe
) to carry out number system
conversion, by setting it to the scientific mode. (Run "calc"
⇒
Select "View" menu
⇒
Choose
"Programmer" or "Scientific" mode.)
1101100B
,
1001011110000B
,
10001100101000B
,
6CH
,
12F0H
,
2328H
.
16.
218H
,
80H
,
AAAH
,
536D
,
128D
,
2730D
.
17.
10101011110011011110B
,
1001000110100B
,
100000001111B
,
703710D
,
4660D
,
2063D
.
18.
??
19.
From <
>
CPE 005B Page 2