3. Convert the following decimal fractions to binary with a maximum of six places to t the binary point: a) 27.59375 b) 105.59375 c) 241.53125
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- Convert the following decimal fractions to binary with amaximum of six places to the right of the binary point:1. a) 27.593752. b) 105.593753. c) 241.531254. d) 327.781258. Convert the following binary numbers to hexadecimal:(a) 1110011010(b) 1000100111(c) 101111.101Convert the following binary fractions to decimal:1. a) 100001.1112. b) 111111.100113. c) 1001100.10114. d) 10001001.0111
- 16. Use direct subtraction on the following binary numbers: (a) 11 – 1 (b) 101 – 100 (c) 110 – 101 (d) 1110 – 11 (e) 1100 – 1001 (f) 11010 – 10111Convert the following decimal fractions to binary with a maximum of six places to the right of the binary point (show the steps): a) 34.79125, b) 219.01225, c) 170.786765, d) 16.1120244375Create the gray code representation of the following binary numbers. i) 11101 ii) 01101 iii) 10111 iv) 00110
- 13. Convert each decimal number to binary using repeated division by 2: (b) 21 (c) 28 (d) 34 (е) 40 (f) 59 (g) 65 (h) 73 14. Convert each decimal fraction to binary using repeated multiplication by 2: (a) 0.98 (b) 0.347 (c) 0.9028 TION 2-4 Binary Arithmetic 15. Add the binary numbers: (a) 11 + 01 (b) 10 + 10 (c) 101 + 11 (d) 111 + 110 (e) 1001 + 101 (f) 1101 + 1011HW1:/ convertthe following decimal number to binary number: (879)D HW2:/ convertthe following decimal number to octal number: (675)D HW3:/ convert the following decimal number to hexadecimal: (340)D HW4:/ convert the following binary number to decimal: (11010110)B HW5:/ convertthe following octal number binary: (110001111010110)B HW6:/ convertthe following binary number to Hexadecimal: (11001010010101011110)B HW7:/ convertthe following octal numberto hexadecimal: (2764)o HW8:/ convertthe following hexadecimal numberto octal: (DFE5)H6. Convert the following binary numbers into Hexadecimal (base 15) format. a. 001010101010101010101010₂ b. 010101010101010001110₂
- 1. In a binary coded decimal (BCD) system, 4 bits are used to represent a decimal digit from 0 to 9. For example, 3710 is written as 00110111BCD. (a) Write 28910 in BCD (b) Convert 100101010001BCD to decimal (c) Convert 01101001BCD to binary (d) Explain why BCD might be a useful way to represent numbers5. Multiply the binary numbers: a) 0110112 x 00112 b) 1111012 x 10012Create the gray code representation of the following binary numbers.i) 10101 ii) 01001 iii) 10110 iv) 00111 v) 00101