Question

3. In a quiz show, you win a point for each correct answer, and lose a point for each incorrect answer. Dale gets 15 right and 20 wrong: What is her score in 7-bit binary? ii. If the temperature is -4 degrees one morning, and 11 degrees the next. What is the temperature difference in 8-bit binary? iii. A bank account has an account balance of -$600. That is, it is $600 overdrawn. If there is a debit of $250, what is the new balance in 10-bit binary?

Answer 1

1. In 7 bit signed binary where the first bit is used for sign, the score is 15-20 = 5 we convert 7 in binary to get the score as 0000111 and then make its leftmost bit 1 to denote its negative so the anwer is 1000111
2. Similarly here the difference is =11-(-4)=15 it is positive so most significant bit or the leftmost bit is 0 and 15 in binary is 0001111 which is the answer
3. The new balance is -600-250 = -850 and we can convert in binary and then sit its leftmost bit to get the number in negative binary form 850 = 1101010010

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