point. Convert 27.3410 to octal. If the answer is irrational, stop at four digits after number
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- What is the exact number of bytes in a system that contains (a) 32K bytes, (b) 64M bytes, and (c) 6.4G bytes?What is the largest binary number that can be expressed with 14 bits? What are the equivalent decimal and hexadecimal number?Perform subtraction on the given unsigned binary numbers using the 2’s complement of the subtrahend. Where the result should be negative, find its 2’s complement and affix a minus sign.(a) 10011 - 10010 (b) 100010 - 100110(c) 1001 - 110101 (d) 101000 – 10101Convert the decimal number 431 to binary in two ways: (a) convert directly to binary; (b) convert first to hexadecimal and then from hexadecimal to binary. Which method is faster?Suppose A = +54 and B = -3 (both in base 10).Q1: What is the lowest number of rounds theoretically to complete the integer division using the optimized division algorithm?Q2: What is the resulting number in binary representation if we use 8 bits to represent it?Q3: What is the resulting number in FP decimal representation if we use the IEEE 754 standard for single precision? (form of this result should be in sign, true exponent in binary, IEEE-754 Exponent in binary and IEEE-754 exponent in decimal (base 10 number) )a. Convert 2158 into decimal b. Convert the decimal number 5836.47 in powers of 10 c. Converting 190 to base 3 d. Find the summation of the following binary value i. 01101 + 01011 ii. 110001 + 110010 iii. 1011 x 1011 iv. 1101 x 1011
- Kindly answer the following questions. b. Verify. that the 6-3-1-1 code is a weighted code. Note that for some decimal digits, two different code combinations could have been used. For example, either 0101 or 0110 could represent 4. In each case the combination with the smaller binary value has been used.Using a "word" of 4 bits, list all of the possible signed binary numbers and their decimal equivalents that are representable in: a) Unsigned integer, b) Signed magnitude, c) One’s complement, d) Two's complementBinary Unsigned IntegerSigned MagnitudeOne’sComplementTwo’s Complement0000000100100011010001010110011110001001101010111100110111101111Express the following decimal numbers in binary, octal, and hexadecimal forms. (313.0625)10 FIND N2, N8,N16 Do not add any extra 0 after the last significant non-zero digit.
- Hexadecimal numbers are made using the sixteen digits 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F.a. How many hexadecimal numbers are 4 digits long?b. How many 4-digit long hexadecimal numbers begin with A or B?c. How many hexadecimal numbers are 4 digits long with no repeating digits?d. How many hexadecimal numbers are 4 digits long and end in 6, and where the first digit must be from3 to 5? Digits can repeat.1- Given the value "OX40F40000" represents a single-precision IEEE floating-point number. Answer the following questions: (a) Represent the number in the format + 1.M × 2x (b) Find the decimal value for this number. Show your work by showing all steps needed to reach the final answer.2. Convert the IEEE 754 single precision binary representation to a decimal number 1001 1001 1011 0000 0000 0000 0000 0000 Note: make sure that in final answer the fraction is in base 10 (at most 3 digits). You don't need to change the power of 2 in a power of 10.
- In this question, you are provided with an IEEE-754 floating-point number in the form of 8 hexadecimal digits. You are asked to decode this value into its decimal representation. Do NOT use scientific notation. Do NOT round or truncate your answer. Do NOT add any spaces or commas to your answer. If the converted number is positive, do NOT add the plus sign. Your answer will consist of two parts, the integer value and the fraction value. Do not add any insignificant zeros to your answer. For the fraction part, you can start it by a decimal point or by a single 0, followed by a decimal point. Convert, i.e., decode, 0x48804008 from the 32-bit single-precision IEEE-754 FP representation into decimal representation. The integer part of the number is: D The fractional part of the number (including the decimal point) is: bCan I get help with this binary ? (a) Using number C and number D 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. (b) 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, calculate numberE AND numberF Give your answer in binary, octal, decimal and hexadecimal.Print the binary representation for a real value between O and 1 that is input as a double, for as 0.72. Print "ERROR:" if the number cannot be adequately represented in binary with no more than 32 characters.