Final answer:
To convert 1's complement binary numbers to decimal, first determine if the number is positive or negative based on the most significant bit. For positive numbers, convert directly to decimal. For negative numbers, flip all bits to get the magnitude and subtract one. The decimal values are 478 (positive), -137 (negative), and -2 (negative) respectively.
Step-by-step explanation:
To determine the decimal values of the following 1's complement numbers, we first need to understand that 1's complement is a method of representing negative numbers in binary. A number in 1's complement is negative if its left-most bit (also known as the lost significant bit) is 1, and positive otherwise.
(a) For 0111011110, since the most significant bit is 0, the number is positive. The decimal conversion of the remaining bits 111011110 is 478 in decimal.
(b) For 1011100111, the most significant bit is 1, indicating a negative number. Taking the complement (flipping the bits) of 0111100111 gives 1000011000, which is 136 in decimal. Therefore, the number is -137 in decimal (since 1's complement is one less than the inverted value).
(c) For 1111111110, the most significant bit is 1, indicating a negative number. After flipping the bits, we get 0000000001, which is 1 in decimal. Therefore, the number is -2 in decimal (since 1's complement is one less than the inverted value).