What is the binary representation of whole number 1,234 as a 12-bit signed integer? What is the binary representation of whole number -1,234 as a 12-bit signed integer?
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- a) Convert the decimal number - 239 into a signed binary number using (1) sign-magnitude method (2) 1's complement method (3) 2's complement method b) If the above decimal number is positive , that is + 239, then convert it to a signed binary number using 1 's complement method c) Do the following binary subtraction: 101111111.01111- 001011010.10110 d)Explain Types of RAM?i) ii) iii) What is the range of a 32-bit unsigned integer? What is the range of a 32-bit signed integer? What is the binary representation of whole number 1,234 as a 12-bit unsigned integer? What is the binary representation of whole number 1,234 as a 12-bit signed integer? What is the binary representation of whole number -1,234 as a 12-bit signed integer? iv) v)b) There are five binary or hexadecimal numbers and six decimal conversions. Draw a line to connect each binary/hexadecimal to decimal number. Binary/Hexadecimal Decimal 4E 78 11011010 157 10011101 167 A7 25 19 218
- a) 13–9 b) –13 –13 Perform the above decimal arithmetic problems by first converting the numbers to binary, 2’s complement form (using a 7 bit word in every case). Then perform the 2’s compliment addition. Show the result in binary indicating as in the problem above whether each result is positive or negative or overflowed (by writing “positive”, “negative” or “overflow” next to the binary answer) and then follow with the decimal value of the result if there was no overflow.Assuming that decimal numbers can be represented using 8-bits binary,express the decimal number -108 using binary number system as shown inTable Q2(a). Show the steps accordingly.What range of decimal integers can be represented by a. three-bit binary numbers; b. three-digit octal numbers; c. three-digit hexadecimal numbers?
- This Question is from Digital Logic Design Q1. Assume your register number EF20BCE039 is in Hexadecimal, where014 are the three digits of your registration number.a) Represent your registration number in the binary.b) Split the ten digits of your registration into two Hexadecimal numbers M and N, where the leftmost five digits make number M and the right most five digits make number N. Using r’scomplement, subtract N from M. In other words, calculate M – N.20. Suppose we have just found yet another representation for floating point numbers. Using this representation, a li2-bit floating point number has 1 bit for the sign of the number, 4 bits for the exponent and 7 bits for the mantissa, which is normalized as in the Simple Model so that the first digit to the right of the radix points must be a 1. Numbers in the exponent are in signed 2's complement representation. No bias is used and there are no implied bits. Show the representation for the smallest positive number this machine can represent using the following format (simply fill in the squares provided). What decimal number does this equate to? : SIGN EXPONENT MANTISSAThe binary string 11010111100101 is a floating-point number expressed using the 14-bit simple model given in your text. What is its decimal equivalent? Note: in the 14-bit simple model, the left-most bit is the sign, followed by 5 bits for the exponent, followed by 8 bits for the mantissa (There are no implied bits). The exponent is in Excess 15 notation.
- Signed integers are represented in two's complementary formats. Does the same arithmetic hardware (or algorithm) work exactly the same between a. Unsigned addition and signed addition? b. Unsigned subtraction and signed subtraction? c. Unsigned multiplication and signed multiplication(if the product obtained the same length as the operands)? d. Unsigned division and signed division? Please give your answer as "true" or "false" for the above 4 questions.a) Convert the decimal number - 222 into a signed binary number using (1) sign-magnitude method (2) 1's complement method (3) 2's complement method b) If the above decimal number is positive , that is + 222, then convert it to a signed binary number using 1 's complement method c) Do the following binary subtraction: 110100101.10111- 000001100.11010How to build this circuit? (on Digital or Logisim) Binary-coded decimal is an alternative method of representing integers using binary. In it, each base-10 digit is represented by four bits, thus each nibble takes one of 10 values (0000 through 1001). Therefore, using BCD, 42 (decimal) is represented as 0100 0010 (binary) and 196 (decimal) is represented as 0001 1001 0110 (binary). Create a circuit in Logisim that accepts as input a pair of two-digit integers represented as BCD and outputs their sum in BCD. Any and all Digital components are fair game. You can assume that all inputs will be valid BCD-encoded numbers.