conversion technique
TRANSCRIPT
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7/28/2019 Conversion Technique
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Conversion between various number systems
From\To Decimal (0,1,29) Binary (0, 1) Octal (0,1,2.7)
Integer part: Repeatedly DIVIDE thenumber by 2. Note the REMAINDERS
from BELOW.
Integer part: Repeatedly DIVIDE thenumber by 8. Note the REMAINDERS from
BELOW.
Decimal part: Repeatedly multiply the
DECIMAL PART by 2. Note the
INTEGER PART from TOP.
Decimal part: Repeatedly multiply the
DECIMAL PART by 8. Note the INTEGER
PART from TOP.
Integer part: (nth
digit x 20) + [(n-1)
thdigit x
21
+ n-2th
di it x 22
+ ...
Decimal part: (1st
digit after decimal x 2-1
) +
(2nd
digit after decimal x 2-2
) +
ADD Inte er and decimal arts.
Integer part: (nth
digit x 80) + [(n-1)
thdigit
x81
+ n-2th
di it x 82
+ ...
Decimal part: (1st
digit after decimal x 8-1
) +
(2nd digit after decimal x 8-2) + ADD Inte er and decimal arts.
Integer part: (nth
digit x 160) + [(n-1)
thdigit x
161)] + [(n-2)
thdigit x 16
2)] + ...
Decimal part: (1st
digit after decimal x 16-
1)+(2
nddigit after decimal x 16
-2)+
ADD Inte er and decimal arts.
Number 4-2-1 code 8-4-2-1 code
0 000 0000
1 001 0001
2 010 0010
3 011 0011
4 100 0100
5 101 0101
6 110 0110
7 111 0111
8 - 1000
9 - 1001
A(10) - 1010
B(11) - 1011
C(12) - 1100
D(13) - 1101
E(14) - 1110
F(15) - 1111
Hexadecimal
Decimal
Binary
NOT REQUIRED
Octal
Integer and Decimal part: Group the
numbers in "3s" from the decimal point.
Use 4-2-1 code(3-Bit BCD code).
Integer and Decimal part: Write the
number one by one with tab-spacing(5
spaces gap). Write the RESPECTIVE
binary code below each number using4-2-1 code.
Integer and Decimal part: Write the
number one by one with tab-spacing(5
spaces gap). Write the RESPECTIVE
binary code below each number using
8-4-2-1 code.
NOT REQUIRED
Integer and decimal part: Direct conversion
is NOT POSSIBLE. Convert Hexadecimal
to binary first. Thereafter, convert again the
binary into Octal.
NOT REQUIRED
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Number 4-2-1 code 8-4-2-1 code
0 000 0000
1 001 0001
2 010 0010
3 011 0011
4 100 01005 101 0101
6 110 0110
7 111 0111
8 - 1000
9 - 1001
A(10) - 1010
B(11) - 1011
C(12) - 1100
D(13) - 1101
E(14) - 1110
F(15) - 1111