1. If A and B are two 8-bit numbers represented in 2\'s complement, adding A and
ID: 3847295 • Letter: 1
Question
1. If A and B are two 8-bit numbers represented in 2's complement, adding A and B results in an overflow condition.
A = 01001010
B = 11100010
True/False
2.
Adding the 2 8-bit unsigned binary numbers shown
00101110
10100110
yields to?
3. The negative decimal (base 10) integer value of -27 is represented in 8-bit 2's complement as?
4.
To represent real binary numbers in floating point notation, we use a 14-bit format with 1 bit for the sign, 5 bits for the exponent, and 8 bits for the significand. Assuming an excess-16 exponent bias, and no imlied 1 bit to the left of the radix point, the binary number
+11.0010101111
is represented as?
5. Convert -123 to 8-bit 2's complement notation.
6. The positive decimal number 24 is represented in 8-bit 2's complement as:
7. The positive decimal number 185 cannot be represented as a binary number in an 8-bit 2's complement format True/False?
8. Simplify the following boolean expression: F(x,y,z) = x'yz + x'yz' + xz
9. Using DeMorgan's Law, find the complement for the boolean function (not simplified)
F(x,y,z) = x(y' + z)
A. x + y'
x'y + z'
x' + yz'
(x + yz)'
A. x + y'
B.x'y + z'
C.x' + yz'
D.(x + yz)'
Explanation / Answer
1.Binary value for adding two 8-bit numbers represented in 2's complement
A = 01001010 , B = 11100010
Result : Binary value: 0100101100
Decimal value: 300
2. Adding unsigned numbers:
0+0 = 0, with no carry,
1+0 = 1, with no carry,
0+1 = 1, with no carry,
1+1 = 0, and carry a 1
3. The negative decimal (base 10) integer value of -27 is represented in 8-bit 2's complement :
-27 = 11100101
5. -123 = 10000101
6. 24 = 00011000
7. True, input requires 9 bits; 8 bits were specified
8. Simplyfying boolean expression:
F(x,y,z) = x'yz + x'yz' + xz
F(x,y,z) = x'y(z + z') + xz
F(x,y,z) = x'y + xz value of (z + z' = 1)
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