# 9 Convert each of the decimal value to 16 bit binary value and then

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9. Convert each of the decimal value to 16-bit binary value
and then perform the below computation. Clearly show the
steps. (15 Points)
a. 2510 + 3410 =
b. 2210 + 3210 =
c. 4510 6010 =
Solution
Conversion from decimal to binary
find a number which is near the number and is a power of
2 like 64 = 26
2510 = 211+ 28 +27 + 26 + 23 + 22 + 21
= 2048 + 256 + 128 + 64 + 8 + 4 + 2
and after this the the conversion is easy
1(11) 0(10) 0(9) 1(8) 1(7) 1(6) 0(5) 0(4) 1(3) 1(2) 1(1)
here 11, 10, 9 and so on are the exponent of 2
a. 2510 + 3410
2510
0000100111001110
3410
0000110101010010

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9. Convert each of the decimal value to 16 -bit binary value and then perform the below computation. Clearly show the steps. (15 Points) a. 2510 + 3410 = b. – 2210 + 3210 = c. – 4510 – 6010 = Solution Conversion from decimal to binary find a number which is near the number and is a power of 2 like 64 = 26 2510 = 211+ 28 +27 + 26 + 23 + 22 + 21 = 2048 + 256 + 128 + 64 + 8 + 4 + 2 and after this the the conversion is easy 1(11) 0(10) 0(9) 1(8) 1(7) 1(6) 0(5) 0(4) 1(3) 1(2) 1(1) here 11, 10, 9 and so on are the exponent of 2 a. 2510 + 3410 2510 0000100111001110 3410 0000110101010010 Answe ...
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