3. If the 5-bit 2's complement of X is equal to 10110, then without converting X to decimal, answer the following questions. a) What is the 5-bit 2's complement of -X? b) What is the 8-bit 2's complement of X? c) What is the 8-bit 2's complement of -X?
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- a. Obtain the 9's complement of the following eight-digit decimal numbers: A=90009951; and B=00980100 b. Obtain the 10's complement of the following eight-digit decimal numbers: A=90009951; and B-00980100 c. Suppose that we use the 10's complement of X to represent -X. Show that A-B can be performed as A+ (-B); i.e., by taking the 10's complement of B and adding it to A (and ignoring the carry out of the 8-digit decimal values).i) The 8-bit binary (two’s-complement) conversion of the signed decimal integer -128 is what? ii) The hexadecimal representation of the binary number 1111 1101 1010 0011 0101 is?1) Answer the following: a) What is the decimal sign-and-magnitude value of the 8-bit number represented in 2's complement by 11010011? b) What is the decimal sign-and-magnitude value of the 8-bit number represented in 2's complement by 01000011? 01000011
- 6. Show how each of the following signed, decimal integers would be stored in 16-bit two's complement format. Give your answer in hexadecimal. a. 431693 € 41024 e. -1 8. 432767 1 -32767 b. -252 d. -1024 1-32768 -1281. 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 numbersIn single precision (IEEE-754 standard), 8 bits are used for storing the exponent (the bias is 127), and 23 bits are used for storing the mantissa. (a) What are the smallest and the largest positive numbers that can be stored in single precision? (b) What is the smallest value of the mantissa that can be stored?
- 1- Write the different numbers in base 10 a. (FA) 16 b. (101.011) 2 2. Write the following number in base 2 a. (123.22) 10 3. Realize the following additions in a 8 bits system using the 2's complement representation a. S1 = -51 +27 b. S2-51 - 27 c. S351 - 27 4. Realize the following addition using BCD representation a. S = 833 + 573Assume that we use signed binary two's complement representation. The largest decimal value we can represent with 8 bits is and its binary form is The smallest decimal value we can represent with 8 bits is and its binary form is Decimal equivalent of 00010010 is Decimal equivalent of 11101010 is5. Show how each of the following signed, decimal integers would be stored in 8-bit two's complement code. Give your answer in hexadecimal. a. +100 C. -10 e. -127 L -32 g. b. -1 d. +88 f. -16 h. -128
- Represent the following numbers in single precision IEEE 754 format: a. -5.2 x 10² b. 6.25 x 10-² The number 11001110₂ It is expressed in 1's Complement notation A. Obtain the number in base 10 that it represents. B. Express the number obtained in the previous paragraph in IEEE 754 single precision formatPlease help me with those questions 1. a. Convert 113 (in base 10) to a binary number using the unsigned 8-bit binary representation. b. .Convert 1001 1010 to an integer assuming that the binary sequence uses the unsigned 8-bit binary representation. Present your answer using the usual sign-magnitude base 10 representation. c.Convert the binary sequence 1010 0001 to a decimal integer assuming that the binary sequence uses the two's complement 8-bit binary representation. Present your answer using the usual sign-magnitude base 10 representation. c. Add 0100 1011 and 1011 0111 assuming that the binary number represents unsigned 8-bit integers. Present your answer as an 8-bit binary number using unsigned 8-bit representation. d. Convert the decimal -107 (written using the usual signed-magnitude base 10 representation) to a signed 8-bit binary number using the two's complement representation.1. Represent the following decimal numbers in 8 bits: (+94)10 and (–124)10 by (a) Sign-magnitude, (b) one’s complement, and (c) two’s complement representation 2. Express the following decimal numbers in Excess-3 code form: 24510, 73910, and 456710. 3. Express the following Excess-3 codes as decimals: 1000001101102 and 01111100100101102.