Convert the following binary numbers to hexadecimal.
a) 11000011
b) 11110111
c) 1001111111
d) 10011101110
e) 000111100001
Convert the following hexadecimal numbers into binary.
a) 6c b) 59
c) AA d) A00
e) 40 E
Convert the following hexadecimal numbers into denary.
6B b) 9c
c) 4A d) FF
e) I F F
Answers
Answer:
Convert the following binary numbers to hexadecimal.
a) 1100 0011
B3
b) 1111 0111
F7
c) 10 0111 1111
27F
d) 100 1110 1110
4EE
e) 0001 1110 0001
1E1
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Convert the following hexadecimal numbers into binary.
a) 6c
0110 1100
b) 59
0101 1001
c) AA
1010 1010
d) A00
1010 0000 0000
e) 40 E
0100 0000 1110
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Convert the following hexadecimal numbers into denary.
a) 6B
one way:
B=>B place value is 11 in hex series => & its position in current number is 1(strating from left to right)=>so, 11*1 => 11
16*6 + 11*1 = 107
another way convert to binary then to denary
0110 1011 =>(see its position and seperaction by spacing in between, right to left.)
(here values are like 128|64|32|16|8|4|2|1 , according to its position)
= 107
b) 9c
16*9 + 12*1 = 156
option 2:
(here values are like 128|64|32|16|8|4|2|1 , according to its position)
1001 1100
= 156
c) 4A
16*4 + 10*1 = 74
option 2:
(here values are like 128|64|32|16|8|4|2|1 , according to its position)
0100 1010
= 74
d) FF
16*15 + 15*1 = 255
option 2:
(here values are like 128|64|32|16|8|4|2|1 , according to its position)
1111 1111
= 255
e) IFF
Invalid as there is no I in hex series
Explanation:
It starts from left to right
in hex number system there is no 10 in it, there is "A" instead of "10" and series last till F only (i.e after 10 only A, B, C, D, E, F exists).
(
1,2,3,4,5,6,7,8,9, A,B,C,D,E,F
10,11,12,13,14,15
)
0000 0000 <= from left to right
(here values are like 128|64|32|16|8|4|2|1 , according to its position)
for hex to denary
place of occurrence of digit has this value 16*16*16=4096|16*16=256|16|1
for hex to binary or binary to hex
Place of occurrence of digit has this value 2*2*2=8|2*2=4|2|1