10. If 37 is an Octal number, we can A. add a subscript 8 to it B. to convert it to a hexadecimal number we convert each digit to 4 bits binary first C. to convert it to a hexadecimal number we convert each digit to 3 bits binary first D. both A and Care correct
Answers
Answer:
Each hex number has 4 bits, so it is four times as many, IF you count the possible insignificant zeros at the most significant hex digit. Otherwise it is four times as many minus one, two or three, depending on the zeros at the front.
Explanation:
Given : 37 is an Octal number, we can
To Find : Choose correct options
A. add a subscript 8 to it
B. to convert it to a hexadecimal number we convert each digit to 4 bits binary first
C. to convert it to a hexadecimal number we convert each digit to 3 bits binary first
D. both A and C are correct
Solution:
for octal numbers we can add subscript 8 to it
37 in octal number can be represented as (37)₈
To convert (37)₈ in binary we can convert each digit to 3 bits binary
3 = 011
7 = 111
(37)₈ = (011111)₂
Now to convert it further in hexadecimal we can make group of 3 bits of binary starting from right
= (0001) (1111)
= (1F)₁₆
Hence Correct options are
A ) add a subscript 8 to it
C. to convert it to a hexadecimal number we convert each digit to 3 bits binary first
=> correct option is D. both A and C are correct
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