The binary string 11b10010111110 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.
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- 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 218Design a code converter that converts a decimal digit from BCD to excess-3 code, the input variables are organized as (A BC D) respectively with A is the MSB, the output variables are organized as (W X Y Z) respectively with W is the MSB, put the invalid decimal numbers as don't care. X= BCD'+B'D+B'C X= BC'D'+B'D+BC X= BC'D'+B'D+B'C X= BC'D'+BD+B'CPerform floating point binary addition to the following: A: 1 10000011 10110111010000000000000 B: 0 10000000 10010011000100101000000 The result of A+B must be in be in 32-bit floating point. You can also check the answer in decimal.
- 21. Express the decimal number -37 as an 8-bit number in sign-magnitude. a. 10100101 b. 00100101 c. 11011000 d. 11010001Design a code converter that converts a decimal digit from BCD to excess-3 code, the input variables are organized as (A BC D) respectively with A is the MSB, the output variables are organized as (W XY Z) respectively with W is the MSB, put the invalid decimal numbers as don't care. X= BCD'+B'D+B'C X= BC'D'+B'D+BC X= BC'D'+B'D+B'C X= BC'D'+BD+B'CThe 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.
- USE DIGITAL LOGIC AND DESIGN Part 1: In Figure_4; we have 4-bit Comparator using 2-bit Comparators block. You have to satisfy given condition by applying all data on figure 4. At the end, given condition should produce HIGH output and other two should be LOW. A3 A2 A1 A0 = 1101 and B3 B2 B1 B0 = 1110 Figure_4 Part 2: The serial data-input waveform (Data in) and data-select inputs (S0 and S1) are shown in Figure_5. Determine the data-output waveforms from D0 through D3. Figure_5 Part 3: Decoder can be useful when we have to decode some specific numbers from their equivalent code. Figure 6 has a concept of 3 to 8 line decoder from which you have to generate output waveform from D0 to D7 with proper relationship to input. Figure_6 Part 4: The data-input and…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?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 MANTISSA
- Excess-3 code is significant for arithmetic operations as it overcomes shortcoming encountered while using 8421 BCD code to add two decimal digits whose sum exceeds 9. Excess-3 arithmetic uses different algorithm than normal non-biased BCD or binary positional number system. An electronics company has hired your services to design a code converter that converts Binary Coded Decimal (BCD) code for it. Design the converter.1. Convert the following decimal numerals to their binary, octal and hexadecimal equivalents (in case of infinite extension, compute the first 10 digits after dot): a. 55438, b. 237170, c. 586.609375 d. 22.016845703125 e. 416.712 2. Convert (416.715); to its decimal, binary, and hexadecimal equivalent 3. Find appropriate numeral system base, for which given equation is correct: a. 12,1 = 302/20 b. 41/3 = 13 c. 23+44+14+32 = 223 4. Find 8-bit l's complement numerals representing the following decimal numerals: a. 89 b. 135 c. 225 d. -37 e. -78 f. -128 g. -230 5. Repeat task 4, this time searching for 2's complement numerals 6. Compute: a. 11100 + 10001 b. 11100 + 00100 c. 01100 - 10011 assuming (one-by-one): signed-magnitude, l's complement, 2's complement representationExercises : Convert the following binary numbers to Hexadecimal numbers: (b) 1100111010002 (a)11001010010101112 (c) 101010. 101012 (d) 1111110001.011010012 0110111012 (e) 1011001110. Answers: