Computer Science – 1.1 Data Representation | e-Consult
1.1 Data Representation (1 questions)
Login to see all questions.
Click on a question to view the answer
Binary to Decimal Conversions:
- 101011002: (1 * 27) + (0 * 26) + (1 * 25) + (0 * 24) + (1 * 23) + (1 * 22) + (0 * 21) + (0 * 20) = 128 + 0 + 32 + 0 + 8 + 4 + 0 + 0 = 172
- 110100112: (1 * 27) + (1 * 26) + (0 * 25) + (1 * 24) + (0 * 23) + (0 * 22) + (1 * 21) + (1 * 20) = 128 + 64 + 0 + 16 + 0 + 0 + 2 + 1 = 211
- 111111112: (1 * 27) + (1 * 26) + (1 * 25) + (1 * 24) + (1 * 23) + (1 * 22) + (1 * 21) + (1 * 20) = 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255
Decimal to Binary Conversions:
- 2510: 25 / 2 = 12 R 1; 12 / 2 = 6 R 0; 6 / 2 = 3 R 0; 3 / 2 = 1 R 1; 1 / 2 = 0 R 1. Reading remainders upwards: 110012
- 4210: 42 / 2 = 21 R 0; 21 / 2 = 10 R 1; 10 / 2 = 5 R 0; 5 / 2 = 2 R 1; 2 / 2 = 1 R 0; 1 / 2 = 0 R 1. Reading remainders upwards: 1010102
- 12710: 127 / 2 = 63 R 1; 63 / 2 = 31 R 1; 31 / 2 = 15 R 1; 15 / 2 = 7 R 1; 7 / 2 = 3 R 1; 3 / 2 = 1 R 1; 1 / 2 = 0 R 1. Reading remainders upwards: 11111112