a) -105 in a base ten system to 2's complement 8-bit binary b) 01101100 in binary twe's complement to hex c) 10010011 in binary two's complement to decimal d) E4.1 in hex to decimal e) 135.25 in decimal to binary
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- Divide the binary numbers as indicated:(a) 110 / 11 (b) 1010 / 10 (c) 1111 / 101In an 8-bit computer, the representation of -75 in the one's complement encoding is: a)10110100 b)11001011 c)11110101Find the following differences for a signed binary representation a 111000 -110011 (signed 6-bit representation) b. 11001100 -101110 (signed 8-bit representation) c. 111100001111 -110011110011 (signed 12-bit representation) d. 11000011 -11101000 (signed 8-bit representation)
- Express -15 as a 6-bit signed binary number.a) 001111b) 101111c) 101110d) 001110If an integer value of 43 is stored in ieee754 double precision format what binary bits are saved in the format (a) 101011 (b) 01011 (c) 1011 (d) 0101011Convert each of the following decimal values to 8-bit two’s complement binary: i) -3810 ii) 5510 iii) -6510 iv) 7210
- Use direct subtraction on the following binary numbers:(a) 10 - 1 (b) 100 - 11 (c) 110 - 100(d) 1111 - 11 (e) 1101 - 101 (f) 110000 - 1111Obtain the 1’s and 2’s complements of the following binary numbers: (a) 00010000 (d) 10101010 (b) 00000000 (e) 10000101 (c) 11011010 (f) 11111111 Represent the unsigned decimal numbers 791 and 658 in BCD, and then show the steps necessary to form their sum Express the following numbers in decimal: (a) (10110.0101) 2 (b) (16.5) 16 (c) (26.24) 8 (d) (DADA.B) 16 (e) (1010.1101) 2 Add and multiply the following numbers without converting them to decimal. (a)Binary numbers 1011 and 101. (b)Hexadecimal numbers 2E and 34.Binary Calculations Using an 8-bit, Two's Complement representation: calculate 73 - 91 (show all workings) explain why we can't calculate 47 + 92
- 2. Two's Complement Binary Complete the following table for 8-bit and 16-bit binary values. Decimal 8-bit binary 16-bit binary -114 10101101 1110111101101010 -31. Convert 32 from hexadecimal to decimal. A) 32 B) 50 C) 20 D) 26 2. Convert 40 from decimal to hexadecimal. A) 64 В) 32 C) 28 D) 40 3. Using two's complement notation of size 8-bits, what is the representation of -19? A) 11101101 B) 10010011 C) 00010011 D) 11101100 4. Using sign-magnitude method with size 8-bits, what is the largest number that can be represented? A) 128 В) 63 C) 64 D) 127 5. 1F.C, is equivalent to: A) 11111.1100, and 31.12,0 B) 011111.11, and 31.7510 C) 111111.1100, and 31.7510 D) None of the above 6. x'yz + xy'z + xyz' + xyz can be written as: A) m3 + m5 + m6 + m7 B) Em(3, 4, 6, 7) С) МЗ. M5. М6. M7 D) None of the aboveAssuming nine-bit two’s complement representation, convert each of the following decimal numbers to binary, show the effect of the ASL operation on it, and then convert the result back to decimal. Repeat with the ASR operation: a) 94 b) 135c) -62d) 1e) 0f) -1