The contents of the memory as follow: Address Data Address Data 000 1000 100 0001 001 1101 101 0011 010 1010 110 0111 11 1111 111 1001 - By using direct-mapped cache, Please map the following addresses from main memory to the cache as ordered 001, 010, 100, 101, 111.

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### Memory Contents and Direct-Mapped Cache Mapping

#### Memory Contents
The contents of the memory are as follows:

| Address | Data  | Address | Data |
|---------|-------|---------|------|
| 000     | 1000  | 100     | 0001 |
| 001     | 1101  | 101     | 0011 |
| 010     | 1010  | 110     | 0111 |
| 011     | 1111  | 111     | 1001 |

#### Cache Mapping Instructions
By using direct-mapped cache, please map the following addresses from main memory to the cache in the order: 001, 010, 100, 101, 111. 

### Explanation:
1. **Address Mapping:**
    - **001:** The address 001 in the main memory has the data 1101.
    - **010:** The address 010 in the main memory has the data 1010.
    - **100:** The address 100 in the main memory has the data 0001.
    - **101:** The address 101 in the main memory has the data 0011.
    - **111:** The address 111 in the main memory has the data 1001.

Each address and its corresponding data are placed into the cache based on the direct-mapped cache policy, which maps each block of main memory to exactly one cache line.

### Note:
Direct-mapped cache is a simple form of cache organization where each block of main memory is mapped to exactly one cache line. This mapping is typically achieved using a modulo operation.
Transcribed Image Text:### Memory Contents and Direct-Mapped Cache Mapping #### Memory Contents The contents of the memory are as follows: | Address | Data | Address | Data | |---------|-------|---------|------| | 000 | 1000 | 100 | 0001 | | 001 | 1101 | 101 | 0011 | | 010 | 1010 | 110 | 0111 | | 011 | 1111 | 111 | 1001 | #### Cache Mapping Instructions By using direct-mapped cache, please map the following addresses from main memory to the cache in the order: 001, 010, 100, 101, 111. ### Explanation: 1. **Address Mapping:** - **001:** The address 001 in the main memory has the data 1101. - **010:** The address 010 in the main memory has the data 1010. - **100:** The address 100 in the main memory has the data 0001. - **101:** The address 101 in the main memory has the data 0011. - **111:** The address 111 in the main memory has the data 1001. Each address and its corresponding data are placed into the cache based on the direct-mapped cache policy, which maps each block of main memory to exactly one cache line. ### Note: Direct-mapped cache is a simple form of cache organization where each block of main memory is mapped to exactly one cache line. This mapping is typically achieved using a modulo operation.
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