Perform the following operations by converting the operands to 2’s complement binary numbers and then doing the addition or subtraction shown. Please show all work in binary, operating on 8-bit numbers. Is there an overflow? (a) 48 + 96 (b) -45 - 28 (c) -67 - (-41)
Perform the following operations by converting the operands to 2’s complement binary
numbers and then doing the addition or subtraction shown. Please show all work in binary, operating on
8-bit numbers. Is there an overflow?
(a) 48 + 96
(b) -45 - 28
(c) -67 - (-41)
Introduction:
Binary numbers are numbers represented in the binary numeral system, which uses only two digits (0 and 1) to represent numbers. In contrast to the decimal system, which uses 10 digits (0 through 9), the binary system is a base-2 system, meaning that each digit represents a power of 2. The rightmost digit represents 2^0 (1), the second digit from the right represents 2^1 (2), the third digit from the right represents 2^2 (4), and so on.
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