Can you please help me solve these questions Question 2 a. You have built a computer that uses 9 bits to represent unsigned integers. You decide to use it to perform the following calculation: 320 + 394. What is the result? (Give your answers both in binary and in decimal) b. The computer you built also has a 16-bit addressability. You decide to add some memory to it and now your computer has a total of 30,000 bytes of memory. What is the minimum number of bits that you need in order to represent your address space? c. Consider the circuit that adds together two 16-bit 2's complement numbers (consisting of a half-adder and a bunch of full-adders chained together). Is this an example of combinatorial logic or sequential logic? Why? d. What is the largest decimal number that you can represent with a 3-digit octal number? (give your answer both in decimal and in binary).
Can you please help me solve these questions
Question 2
a. You have built a computer that uses 9 bits to represent unsigned integers. You decide to use it to perform the following calculation: 320 + 394. What is the result? (Give your answers both in binary and in decimal)
b. The computer you built also has a 16-bit addressability. You decide to add some memory to it and now your computer has a total of 30,000 bytes of memory. What is the minimum number of bits that you need in order to represent your address space?
You have a computer that uses 9 bits to represent unsigned integers. To add 320 and 394, you can perform the addition in binary:
Conversion to Binary:
- First, we convert the decimal numbers 320 and 394 into their binary representations.
- 320 in binary is 010000000, which is a 9-bit binary number. We used a leading zero to fill up the 9 bits since we're working with 9-bit unsigned integers.
- 394 in binary is 110001010, also represented as a 9-bit binary number.
Binary Addition:
- To perform the addition, we align the two binary numbers by placing them one below the other, similar to how you would perform addition in decimal.
- Then, we add the binary digits from right to left (starting from the least significant bit), just like you would in regular addition.
The addition proceeds as follows:
010000000
+ 110001010
-------------
000001010
- Each column of binary digits is added just like columns in decimal addition, taking into account any carryovers.
- In this case, there's a carryover from the third column to the fourth column (from the right), but all the other additions result in no carryover.
- As a result, the final sum is 000001010 in binary.
Conversion to Decimal:
- The binary result, 000001010, is equivalent to 10 in decimal.
So, the final result of 320 + 394, represented in both binary and decimal, is 10.
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