For B), are you sure you mean "excess 128 2's complement representation"?ccky said:Homework Statement
Find the decimal values for the following 8-bit bit pattern
A)00000010 in excess 128 representation
B)10000010 in excess 128 2's complement representation
I'm not following what you are doing here. Why did you subtract the 1?C)10000010 in excess 128 representation
Homework Equations
Binary
2's complement
The Attempt at a Solution
A(00000010)-1
(00000001)
=11111110.
=254-128=126
Yes, that's correct for "2's Complement representation."B)invert the number to 01111101 and+1=-126
That doesn't look right for excess 128 representation. See above in part A where I showed some examples.C)130
Is it right or wrong?
The decimal values of 8-bit bit patterns are the numerical representations of binary numbers in base 10. They range from 0 to 255, with each bit representing a power of 2.
To calculate the decimal value of an 8-bit bit pattern, each bit is multiplied by its corresponding power of 2 and then added together. For example, the bit pattern 01101101 has a decimal value of (0*2^7) + (1*2^6) + (1*2^5) + (0*2^4) + (1*2^3) + (1*2^2) + (0*2^1) + (1*2^0) = 109.
The maximum decimal value that can be represented by an 8-bit bit pattern is 255. This is because 8 bits can represent 2^8 or 256 different combinations, starting from 0 to 255.
In 8-bit bit patterns, negative decimal values are represented using the two's complement method. This involves flipping all the bits in a number and adding 1 to the result. For example, the 8-bit bit pattern 11111111 represents the decimal value -1 using two's complement.
8-bit bit patterns are commonly used in computing because they provide enough combinations to represent a wide range of characters, symbols, and numbers. They are also easy to work with and can be quickly processed by computer hardware.