3. Represent each of the following numbers as nor- malized base 2 floating-point numbers using 4 digits to represent the fractional part of the man- tissa; that is, represent the numbers in the form ±(1.b₁b₂b3b4)2 × 2k. (a) 21 (c) 9.872 (b) 33/3 (d) -0.1 3100
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- 2. How many even 4-digit numbers greater than 3000 can be formed from the digits 2, 6, 7, 8, 9 if no digit can be used more than once?Subtract (29.A)16 from (4F.B)16 Use 2’s complementarithmetic. In your solution, indicate the following: a) The minuend b) Subtrahend c) Solution in binary d) Hex equivlent of the resulting binary numberComputer Science Given the following 32-bit number in IEEE754 floating-point number format, B = OX4OBC000 b) Determine the hexadecimal representation in IEEE754 double-precision floating-point number format of the following two cases, i.
- 2. There are, by hypothesis, infinite number bases, but in computing we use hexadecimal, octal and binary bases. The octal base was once widely used, but today the hexadecimal system is the most used as an alternative to binary.Check the alternative that shows the correct value of the conversion of the following number in hexadecimal A02C3D(16) to octal. A) 10497085(8) B) 100212314(8) C) 50212034(8) D) 50026075(8) E) 101000000010110000111101(8)Find the decimal expansion of (B34F) 16. Fill in the blanks with the appropriate numbers. (B34F) 16 = 10¹ + • 104 + • 10⁰ •10³ + •10² +e.Given the following contents of Fl, express the contents in both exponent and decimal form: i. 0263795 ii. 1757890 g. How would 374.577 be approximated in FL h. How would zero be represented in FL?
- Binary coded decimal is a combination of Three binary digits Two binary digits Four binary digits Five binary digits O ? = Add the two BCD numbers: 1001 + 0100 00101011 O 10101111 O 00010011 01010000 The standard product of sum form of the function y(X,Z) =X(X + Z) is (X+Z)(X+Z') O (X+Z)(X'+Z') (X+Z)(X'+Z') (X+Z') O (X'+Z)(X'+Z') OThe following is a quantity represented in base-8 (octal). What is its representation in base-10 (decimal)? (The right-most digit is still the one's place, the next is the 8s place, ...) 772X and Y are represented in IEEE single precision floating point notation. Let X = (41D00000)16, Y = (C0000000)16. The result of (x *y) in Decimal is
- 07. Mantisa is a pure fraction in sn magniade for The decimal number 02392 has the following hesadecimal rpresentation (without tormalization and rounding olfl)Question 1: Given the following pair of decimal numbers: A = -7.96875 x 10¹ and B = 2.34375 x 10-² a) Compute the binary representation of both A and B using the IEEE-754 single-precision floating- point format. Show the final result in hexadecimal. b) Compute the product of A and B (that is, A x B) in binary using the IEEE-754 single-precision floating-point format. Show the final result in hexadecimal.Base 8 representation of numbers is called “octal”, and uses only digits 0 through 7. Give the following equivalent numbers for octal number 1275 in each binary, decimal, and hexadecimal representati