Thank you.
M. DCBA16 - ABCD16 =
N. 56716 x 4B16 =
ABCD16 + DCBA16
How you add or multiply hex numbers have been explained in response
http://www.jiskha.com/display.cgi?id=1346358289
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To calculate these expressions, we need to understand the number system they are in. The numbers in both expressions are written using a system called hexadecimal or base-16, which means that each digit can have 16 possible values (from 0 to F).
In the first expression, M. DCBA16 - ABCD16, we need to subtract the hexadecimal number ABCD16 from DCBA16. To perform this operation, we'll align the digits and subtract them as we would in decimal subtraction:
M. D C B A ₁₆
- A B C D ₁₆
______________
In hexadecimal, A represents 10, B represents 11, C represents 12, and D represents 13.
Subtracting digit by digit:
M - A = 13 - 10 = 3 (in hexadecimal, 3 represents 3)
D - B = 12 - 11 = 1 (in hexadecimal, 1 represents 1)
C - C = 12 - 12 = 0 (in hexadecimal, 0 represents 0)
B - D = 11 - 13 = -2 (in hexadecimal, -2 is represented as E)
A - 0 = 10 - 0 = 10 (in hexadecimal, 10 is represented as A)
Therefore, M. DCBA16 - ABCD16 = 30E16.
In the second expression, N. 56716 x 4B16, we need to multiply the hexadecimal number 56716 by 4B16. To do this, we'll multiply digit by digit, taking into account the place values:
N. 5 6 7 ₁₆
x 4 B ₁₆
______________
In hexadecimal, N represents 12, and B represents 11.
Multiplying digit by digit:
7 x B = 7 x 11 = 77 (in hexadecimal, 77 represents 77)
6 x B = 6 x 11 = 66 (in hexadecimal, 66 represents 66)
5 x B = 5 x 11 = 55 (in hexadecimal, 55 represents 55)
N x 4 = 12 x 4 = 48 (in hexadecimal, 48 represents 48)
Therefore, N. 56716 x 4B16 = 485561116.