Final answer:
The decimal sign-and-magnitude value of the 8-bit 2's complement binary number 01000011 is 67, because it is a positive number and its binary digits correspond to 64 + 2 + 1 in decimal.
Step-by-step explanation:
The question asks for the decimal sign-and-magnitude value of an 8-bit number represented in 2's complement by 01000011. To determine the value, we first observe that the leftmost bit, which would indicate sign in sign-and-magnitude format, is 0. This means the number is positive. In 2's complement, positive numbers are represented the same way as in sign-and-magnitude, so we can directly interpret the remaining bits as the magnitude of the number.
We convert the binary number 01000011 to decimal by adding the powers of 2 that correspond to the positions of the 1's in the binary number, moving from right to left starting with 2^0. The binary number has 1's in the 2^0 (1) and 2^6 (64) positions, so the decimal equivalent is 64 + 2 + 1 = 67.
Thus, the decimal sign-and-magnitude value of the binary 2's complement number 01000011 is 67.