Question

HW-5 (Due July 30, 2020) You can scan and upload your final work by clicking on the link above "HW-5 ..." by the deadline. Make sure to write your name and course detail on the right corner or cover page of your document. Q1. Determine the decimal values of the following unsigned numbers - a. (0111001010) b. (1011001001)2 c. (4351). d. (1001)3 e. (ABCD16 Q2. Determine the decimal values of the following 8-bit, 2's complement numbers - a. (11001101) 6. (11110000) c. (11111111)2 d. (01100111) e. (101010102 . Q3. Convert the decimal numbers: 83, 194,-29, -1328, -2 into signed 12-bit numbers in 2's complement Q4. Perform the following operations involving eight-bit, 2's complement binary numbers and indicate whether arithmetic overflow occurs. 6. (01110101)-(11011110); c. (11011111)-(10111000) a. (00110110) - (01000101); d. (00110110) -(00101011): e (01110101) - (11010110)

Answer 1

The solution to the problem 1 is shown in the above image

The solution to the problem 2 is shown in the above image.

The solution to the problem 3 is shown in the above image.

3) Decimal (W) (-2) to twoo's Complement (12-bit) (ii) (-29) Binary (111011, 12- bir representahou (83/10 2129 214-4 2lt-o -1 2183 212 Binary (10), 12 bir representation Coooooo 00 010), is complement ( ! IÓ. 2441- 2120-1 Binary ( 00001) 12-bit representation as-o Binary (60000 1000011), 22-0 is complement (Irlo14100), 00000011101), 2110-0 11000 10), is complement + 1 1-0 + 1 11 1 O (111 1 111000!!) z's complemente (!! as complement 02 + 1 is complement = (111101111017 z's complement representation is is complement representation lo!!! 1111102 Sign bir (8370 00011) 2's Complement representahou o (O!!!10111101)2 signbit Sign bir 2(1.320 If to represent a as 2 -D (19uto 2/194 2/97-0 Binary (11000010) 2148-1 12 - bir representation 2/24 - 0 2/12-0 00 011000010 23-0 111001101 is complement by ( - (1328) to Binary (11 100110000), 2(664-0 2/332-D It is already in 12-bit 21166 representation 2/83-0 2441-1 is complement 220 - (°oO1100 12 210 - 21-0 22-1 ooo!! 010000), as complement a's complement representation i Sogn bir (looo 1 010000), you have Complement în n-bit format then represent it binary equivalent in (n-1) bits " bit & used for sign representation which is left most bit + 1 1-1 sign bir (-ve number) (the number + 1 2's complement. Il Do Itillo Sign bir z's complement representation - Cour doo),

The solution to the problem 4 is shown in the above image.

COT) (-2) (V) 10000) 으 2l2 (00110 110) + (0100 0101) 4 . (10), od binary number Binary = (OIIOOO) 1 is complement 10000111 0 0 1 1 0 1 1 0 + 12 bir representation ооооо o 0010). is complement (!!! 01). is complement - 1oooooo 0 0 0 1 0 1 + sum t's complemente (!!! 1 1 102 0 01 oo co! I 이 11) Hinal 0 1 1 0 0 1 1 1 is complement representation lo!!!11111110)2 Overflow Sign bir (62 (11 10101) 7 (11011 110) 1 1 bo 1 (d) 00110110) - (00101011) 20 binary (00101011) is complement = number in O 1 1 1 0 0 0 0 you have represent a as Complement n-bit format then represent it binary equivalent in (n-1) " bit used for sign representation which is left most bit + 1 ay 1 1 0 1 TO as Complement (1 10101010 1 1 O O - 1 O 1 1 0 sign bit - (-ve number) 0 1 1 1 0 0 1 0 0 I 1), 1 0 1 0 1 0 1 (DT Ovoglou (the number timal sum o o оог от 1) Overflow