1. Convert decimal to unsigned 8-bit 2'd complement binary: -70, -156 2. Convert 2's complement hex to decimal: 0x15 0xC4 3. Represent the following floating - point numbers with 32 bits in decimal numbers.
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- A(n) __________ is an integer stored in double the normal number of bit positions.Convert the decimal number -19.625 to a floating-point number expressed in the 14-bit simple model given in your text (1 bit for the sign, 5 bits for exponent using excess-15 notation, and 8 bit mantissa with no implied bit). Question 16 Convert the following decimal Real number to fixed point binary: 19.62510 Assume 8 bits for the whole part and 8 bits for the fraction31 Convert the hexadecimal IEEE format floating point single precision number 0x40200000 to decimal: First convert hex to binary (Provide a space between four bit groups. Example 111 1010 not 1111010) Sign bit Exponent in decimal after removing excess 127. Just the exponent. Example 3 not 23 Mantissa or Significand (Provide a space between four bit groups. Example 111 1010 not 1111010) Put it together and convert to decimal
- 1) Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?1)Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?1. List the octal and hexadecimal numbers from (16)10 to (32)10.2. Convert the following numbers with indicated bases to decimal.(a) (4310)5(b) (123)8(c) (2F A)16(d) (212)33. What is the largest binary number that can be expressed with:(a) 8 bits,(b) 10 bits,(c) 16 bits.In each case, write their decimal and hexadecimal equivalents.4. Determine the base of the numbers for the following operation to be correct: 54/4 = 135. Convert the hexadecimal number 68BE to binary, and then convert it from binary to Octal.6. Convert the decimal number 431 to binary in two ways:(a) Convert directly to binary.∗Engr. Sheraz Ali Khan, PhD 1 (b) First convert it into hexadecimal and then from hexadecimal to binary. Which is faster in youropinion?7. Express the following numbers in decimal:(a) (10110.0101)2(b) (26.24)8(c) (F AF A.B)168. Solve the following conversion problems:(a) Convert the decimal number 27.315 to binary.(b) Calculate the binary equivalent of 2/3 to eight places after the binary point.…
- Calculate (3.41796875 *10-3 * 6.34765625 *10-3) by hand, assuming each of the values arestored in the 16-bit half precision format described in in the textbook. Assume 1 guard, 1 roundbit, and 1 sticky bit, and round to the nearest even. Show all the steps, and write your answer inthe 16-bit floating point format.1) Answer the following questions: What is the greatest magnitude negative number one can represent in n-bit 2'scomplement code? 2)Show the 8-bit binary signed-magnitude representation for the following decimalnumbers: -109 10 +43 10 3)Perform the following additions and subtractions. Assume the numbers arestored in signed-magnitude base 2 representation. -1010111 + -10011Please answer the following in 10 minutes I need answers asap. Convert: A. From the 32 bit floating point number 4212400016 to decimal B. 1313.312510 to 32 bit floating point (express your answer in hexadecimal).
- a) Convert the following decimal numbers to 12 bit 2’s complement: -689 b)Convert the following 2's complement binary numbers to decimal. 0110 1101Convert each of the following bit patterns into real numbers. Assume the values are stored using the floating point bit model. 11000001000101101011100001010010 =a) Use the two’s complement binary representation to represent each of the following integers as 10-bit binary numbers. i) -13710 ii) 14510 iii) -15810 iv) 16710 v) -11510 b) If an 8-bit binary number is used to represent an analog value in the range from 0 to 100kg, what does the binary value 011001002 represent?