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CONVERSION OF SYSTEM NUMBER (BINARY TO HEXADECIMAL (HOW TO CONVERT IT?…
CONVERSION OF SYSTEM NUMBER
BINARY TO HEXADECIMAL
HOW TO CONVERT IT?
Example 1
11010 to hex.number
8 4 2 1 8 4 2 1
0 0 0 1 1 0 1 0
1=1 8+2=10(A)
11010=1A 16
Example 2:
10010 to hex. number
8 4 2 1 8 4 2 1
0 0 0 1 0 0 1 0
10010=12 16
HEXADECIMAL TO BINARY
HOW TO CONVERT IT?
EXAMPLE 1
1A TO BINARY NUMBER
8 4 2 1 8 4 2 1
0 0 1 1 A(10)
0 0 0 1 1 0 1 0
=11010
2
Example 2
AF1 to BINARY NUMBER
8 4 2 1 8 4 2 1 8 4 2 1
A(10) F(15) 0 0 0 1
1 0 1 0 1 1 1 1 0 0 0 1
=101011110001
2
HOW TO CONVERT IT?
DECIMAL TO HEXADECIMAL
EXAMPLE 1
1341 to HEX NUMBER
1341 per 16
=83
r 13
83 per 16
=5
r 3
5 per 16
=0
r 5
=5313
=53D
16
EXAMPLE 2
860 to HEX NUMBER
860 per 16
=53
r 12
53 per 16
=3
r 5
3 per 16
=0
r 3
=3512
=35C
16
HOW TO CONVERT IT?
HEXADECIMAL TO DECIMAL
EXAMPLE 1
AFB2to DECIMAL NUMBER
4096 256 16 1
A(10) F(15) B(11) 2
4096
256
16
1
2
10 15 11 2
40960+3840+176+2
=44978
10
EXAMPLE 2
BA8 to DECIMAL NUMBER
256 16 1
B(11) A(10) 8
256
11 16
10 1*8
=2816+160+8
=2984
10
DECIMAL TO BINARY
HOW TO CONVERT IT?
EXAMPLE 1
56 to BINARY NUMBER
:star:
DONT HAVE R IS 0
HAVE R IS 1
56 per 2
=28 no r :check:0
28 per 2
=14 no r :check:0
14 per 2
=7 no r :check:0
7 per 2
=3 have r :check:1
3 per 2
=1 have r :check:1
=111000
2
EXAMPLE 2
32 to BINARY NUMBER
32 per 2
=16 no r :check:0
16 per 2
=8 no r :check:0
8 per 2
=4 no r :check:0
4 per 2
=2 no r :check:0
2 per 2
=1 no r :check:0
1 per 2
=has r :check:1
=100000
2
BINARY TO DECIMAL
HOW TO CONVERT IT?
EXAMPLE 1
10111 to DECIMAL NUMBER
1 0 1 1 1
4 3 2 1 0
2
4 2
3 2
2 2
1 2*0
10111=1
16+0
8+1
4+1
2+1*1
10111=23
10
EXAMPLE 2
1011 to DECIMAL NUMBER
1 0 0 1
3 2 1 0
2
3 2
2 2
1 2
0
1011=9
10
