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In Technology and Home Economics / Elementary School | 2024-09-05

ACTIVITY 1Convert the following decimalto binary.1.112.553. 784.1055.122​

Asked by meeyahsnewmail

Answer (1)

Answer:Here's how to convert the given decimal numbers to binary: 1. 11 - Integer Part: 11 is greater than 8 (2^3), but less than 16 (2^4). So the leftmost digit is 1, and we subtract 8.- Remainder: 11 - 8 = 3. This is greater than 2 (2^1), but less than 4 (2^2). So the next digit is 1, and we subtract 2.- Remainder: 3 - 2 = 1. This is equal to 1 (2^0). So the next digit is 1.- Binary Representation: 1011 2. 55 - Integer Part: 55 is greater than 32 (2^5), but less than 64 (2^6). So the leftmost digit is 1, and we subtract 32.- Remainder: 55 - 32 = 23. This is greater than 16 (2^4), but less than 32 (2^5). So the next digit is 1, and we subtract 16.- Remainder: 23 - 16 = 7. This is greater than 4 (2^2), but less than 8 (2^3). So the next digit is 1, and we subtract 4.- Remainder: 7 - 4 = 3. This is greater than 2 (2^1), but less than 4 (2^2). So the next digit is 1, and we subtract 2.- Remainder: 3 - 2 = 1. This is equal to 1 (2^0). So the next digit is 1.- Binary Representation: 110111 3. 78 - Integer Part: 78 is greater than 64 (2^6), but less than 128 (2^7). So the leftmost digit is 1, and we subtract 64.- Remainder: 78 - 64 = 14. This is greater than 8 (2^3), but less than 16 (2^4). So the next digit is 1, and we subtract 8.- Remainder: 14 - 8 = 6. This is greater than 4 (2^2), but less than 8 (2^3). So the next digit is 1, and we subtract 4.- Remainder: 6 - 4 = 2. This is equal to 2 (2^1). So the next digit is 1.- Binary Representation: 1001110 4. 105 - Integer Part: 105 is greater than 64 (2^6), but less than 128 (2^7). So the leftmost digit is 1, and we subtract 64.- Remainder: 105 - 64 = 41. This is greater than 32 (2^5), but less than 64 (2^6). So the next digit is 1, and we subtract 32.- Remainder: 41 - 32 = 9. This is greater than 8 (2^3), but less than 16 (2^4). So the next digit is 1, and we subtract 8.- Remainder: 9 - 8 = 1. This is equal to 1 (2^0). So the next digit is 1.- Binary Representation: 1101001 5. 122 - Integer Part: 122 is greater than 64 (2^6), but less than 128 (2^7). So the leftmost digit is 1, and we subtract 64.- Remainder: 122 - 64 = 58. This is greater than 32 (2^5), but less than 64 (2^6). So the next digit is 1, and we subtract 32.- Remainder: 58 - 32 = 26. This is greater than 16 (2^4), but less than 32 (2^5). So the next digit is 1, and we subtract 16.- Remainder: 26 - 16 = 10. This is greater than 8 (2^3), but less than 16 (2^4). So the next digit is 1, and we subtract 8.- Remainder: 10 - 8 = 2. This is equal to 2 (2^1). So the next digit is 1.- Binary Representation: 1111010

Answered by flappybirdknm25 | 2024-09-15