1111111111110100 +0000000000001001 Select one: Ⓒa.-3 b.-12 C.-9 Adding the above 2's Complement binary numbers will result in the decimal number: d. 3 Add (-9) and (+4) using the 2's Complement in binary Select one: a. None of the above b. 11011 Ⓒc. 11011 O d. -5
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- The binary number 1001 converts to the decimal number 9, with the 0th (zeroth) bit on the right representing 1 and the 3rd bit representing 8. If you're converting the decimal number 33 to binary, what is the highest numbered bit (counting from the 0th bit on the right) that will be set? a. 0th b. 1st c. 2nd d. 5th e. 6thadd x5, x5, x8Every binary digit must be either 0 or 1 or X. If it appears in multiple bits, then you must input multiple bits, e.g.: 0011xx11Control Signal: ValueIn this assignment you will practice using bitwise operators as well as binary, decimal, and hexadecimal representations. Given the following numbers: A = 0110 1100 B = 1100 0011 C = 1111 0000 D = 0000 1111 1.1 Questions Write the result of the following expressions in a plain text le. Write the answer in binary, hexadecimal, and decimal (unsigned integer). 1. A & B 2. A | B 3. A ^ B 4. A & C 5. A | C 6. A ^ C 7. A & D 8. A | D 9. A ^ D 10. B & C 11. B | C 12. B ^ C 13. C & D 14. C | D 15. C ^ D
- For each number, perform the following bitwise operations. You don't have to show work for each conversion. Format your answers in the following ways, points will be deducted if answers are not formatted correctly. Answers are numbered. Write all hexadecimal numbers using the 0x notation to differentiate between other number systems. Write all binary numbers in groups of 4 bits XXXX XXXX or groups of 8 bits XXXXXXXX Given the following signed 8-bit binary number: 1110 0101What are the two possible binary numbers after shifting 3 bits to the right? What is the result of (~142) in unsigned 8-bit binary? Hint: Convert 142 to binary then perform one's complement. Please answer 1 and 2.CCTT211 Assignment: 1. Change the following decimal numbers to 16-bit two’s complement integersa. -1024b. 16384 2. Change the following 8-bit unsigned numbers to decimala. 11010101b. 00101110 3. If we apply the two’s complement operation to a number twice, we should get the original number. Apply the two’s complement operation to each of the following numbers and see if we can get the original number.a. 110011b. 111111114. Normalize the following binary floating-point numbers. Explicitly show the value of the exponent after normalization.a. 0.1011.1 * 26b. 1101.11 * 2-2 5. Convert the following numbers in 32-bit IEEE format.a. 16.25b. -12.75 6. Convert the following decimal integers to sign-and-magnitude with 8-bit allocationa. 45b. -78 7. One method of representing signed numbers in a computer is one’s complement representation. In this representation, to represent a positive number, we store the binary number. To represent a negative number, we apply the one’s comple- ment operation…Convert IEEE Single-Precision Binary Format Real number 11000100101001000010101000000000 to decimal. Please show all the steps. a) [1] What is the sign? b) [1] What is the biased exponent value? c) [1] What is the unbiased exponent value? d) [2] What is the normalized representation of the number in BINARY? e) [1] What is the unnormalized representation of the number in BINARY? f) [1] What is the decimal value of the whole number part of the number? g) [2] What is the decimal value of the fractional part of the number? h) [1] What is the real number in base 10
- Choose one number from the set { 12, 13, 14, 15, 16, 17, 18, 19, 20 } this is numberC. Choosea number from { 6, 9, 10 } this is numberD. Using 8-bit binary arithmetic, calculatenumberC × numberDgiving your answer in binary and decimal. please i would like a full working out1. a. Convert the following decimal integers in binary notation. You need to show your calculation as a sum of powers of two : 1609 1424 -33 (write in 8-bit two’s complement form) 1.b. Convert the binary integers in decimal notation. You need to show your calculation as a sum of powers of two as shown class: 11001012 10110112 110111012 (this binary number is in 8-bit two’s complement form)H- Assuming a three-bit exponent field and a four-bit significand, what decimal value is represented by the following bit pattern? 1 111 0000
- What decimal value does the 8-bit binary number 10011110have if:1. a) It is interpreted as an unsigned number?b) It is on a computer using signed-magnituderepresentation?2. c) It is on a computer using one’s complementrepresentation?3. d) It is on a computer using two’s complementrepresentation?4. e) It is on a computer using excess-127 representation?For each number, perform the following bitwise operations. You don't have to show work for each conversion. Format your answers in the following ways, points will be deducted if answers are not formatted correctly. Answers are numbered. Write all hexadecimal numbers using the 0x notation to differentiate between other number systems. Write all binary numbers in groups of 4 bits XXXX XXXX or groups of 8 bits XXXXXXXX What mask value will make the expression true when applying bitwise inclusive OR (|)?10011001 11101100 10101010 11001100???????? ???????? ???????? ????????-----------------------------------11111111 11101111 10101010 11001111Express the mask as an 8 digit hexadecimal number. Given the following:unsigned int result = 0;unsigned int num1 = 0x41;unsigned int num2 = 0x78;unsigned int num3 = 0x43;unsigned int num4 = 0x7A;result = (num1 << 24);result = result | (num4 << 16);result = result | (num2 << 8);result = result | num3;A) Express the value of…Can I get help with this binary? (a) Choose a number between 35 and 50. This will be numberA. Choose another number between60 and 90. This will be numberB. Using 2’s complement 8-bit binary arithmetic, calculatenumberA – numberBgiving your answer in binary and decimal. (b) Choose one number from the set { 21, 22, 23, 24, 25, 26, 27, 28, 29 } this is numberC. Choosea number from { 3, 5, 6 } this is numberD. Using 8-bit binary arithmetic, calculatenumberC × numberDgiving your answer in binary and decimal. (c) Using numberC and numberD from (b), use binary arithmetic to calculate:numberC.375 + numberD.5 giving your answer in binary and decimal. Convert numberC.375 into IEEE-754 format.(d) Choose a number between 175 and 240 – this is numberE. Convert numberE into hexadecimal.Choose a number between 140 and 160 – this is numberF. Convert numberF into octal. Using 8-bit binary, calculatenumberE AND numberFGive your answer in binary, octal, decimal and hexadecimal.