Electronics and Communication Engineering - Digital Electronics - Discussion

Discussion Forum : Digital Electronics - Section 2 (Q.No. 16)
16.
A16 X 216 __________ .
1616
1516
1416
1316
Answer: Option
Explanation:

A16 = 10, 216 = 2, 10 x 2 = 20 in decimal = 14 in hexadecimal.

Discussion:
10 comments Page 1 of 1.

FAIZUDDIN ANSARI said:   9 years ago
Can you explain in details?

Bharath said:   9 years ago
F - 15.
10 - 16.
14 - 20.

Then
AH X 2H is 14H (H - hex).

Rishi Ram Panth said:   8 years ago
I can't understand. Please explain.

Harish said:   8 years ago
A=10, B=2 then A*B=20 it is in hexadecimal then we want to change in hexadecimal so that if you divide with 16 then quotient=1 and rem=4. First we consider quo after rem. Therefore 14 it is in hexadecimal because you divide with 16.
(1)

Gori said:   7 years ago
Thanks for your explanation @Harish and @Bharath.

Siva said:   7 years ago
Please give the clear explanation of the solution.

Manjusree said:   7 years ago
A16 Here base is 16 which represents hexadecimal. 'A' in hexadecimal represents digit 10. Similarly 2 represents digit 2 in hexadecimal.
A * 2 = 10 * 2 = 20.
Digit 20 in hexadecimal representation is 14 (Conversion of digit 20 to hexadecimal: divide 20 by 16. we get;
1 as quotient and 4 as a reminder).

Dodo said:   7 years ago
A a base16 X 2 a base16=(A*2) a base 16= 2*16^0+10*16^1=164 in decimal.

Start by dividing the number by 16, that is;
164/16 =10.25.

Division result is 10 is the decimal point,
The rest =0.25,
0.25*16=4.
So 10 +4=14 hexadecimal.

Rizvana said:   6 years ago
Thanks for your explanation @Harish.

Elayakavi said:   4 years ago
In hexadecimal A=10 and 2=2 then A*2=20.
20 is greater than 16, so we subtract by 6 from 20.
20-6 = 14.
(2)

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