1. What is the largest 16-bit binary number that can be represented with (a) unsigned numbers? (b) two's complement numbers? (c) sign/magnitude numbers? 2.What is the smallest (most negative) 16-bit binary number that can be represented with (a) unsigned numbers? (b) two's complement numbers? (c) sign/magnitude numbers?
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- A(n) __________ is an integer stored in double the normal number of bit positions.What is the largest numeric value that could be represented with three bytes if each digit were encoded using one ASCII pattern per byte? What if binary notation were used? 8 bits( 1ASCII pattern) 8 bits( 1ASCII pattern) 8 bits( 1ASCII pattern) 24 bits. Largest numeric value in 24 bits….224…???What are the mantissa and exponent values if 6.75 is represented in 8-bit binary floating-point representation? a) Mantissa is 1011 and exponent is 101 b) Mantissa is 0011 and exponent is 100 c) Mantissa is 1011 and exponent is 100 d) Mantissa is 0011 and exponent is 101
- What decimal value does the 8-bit binary number 10101110 have if: a) it is interpreted as an unsigned number? b) it is on a computer using signed-magnitude representation? c) it is on a computer using one's complement representation? d) it is on a computer using two's complement representation? e) it is on a computer using excess-127 representation?A 36-bit floating-point binary number has eight bits plus sign for the exponent and 26 bits plus sign for the mantissa. The mantissa is a normalized fraction. Numbers in the mantissa and exponent are in signed-magnitude representation. What are the largest and smallest positive quantities that can be represented, excluding zero?3. What decimal value does the 8-bit binary number 01101110 have if:a. It is interpreted as an unsigned numberb. It is on a computer using two’s complement representation PS: Please do them in a word processor and not hand-written!
- What is the ASCII representation of the numeral -3.1415 in binary? What is the ASCII representation of the numeral -3.1415 in octal? What is the ASCII representation of the numeral -3.1415 in hexadecimal? What is the ASCII representation of the numeral -3.1415 in decimal? Show the StepsWhat is the range of integers representable in 12 bits? Use decimal notation! a) As an unsigned 12–bit integer. b) As a signed two’s–complement integer.What is the smallest signed 16-bit number in hexadecimal? What is the largest signed 16-bit number in hexadecimal?
- 5. What is the largest decimal number that can be represented using 6 bits? (a) in binary system (b) in Hex system 6. What is the largest number of (101)2, (10)10, and (11)16?What is the smallest 32-bit floating point number f such that 128 + f > 128 ? What is the smallest 32-bit floating point number g such that 1 + g > 1 ? What is the relationship between f and g?1. In a binary coded decimal (BCD) system, 4 bits are used to represent a decimal digit from 0 to 9. For example, 3710 is written as 00110111BCD. (a) Write 28910 in BCD (b) Convert 100101010001BCD to decimal (c) Convert 01101001BCD to binary (d) Explain why BCD might be a useful way to represent numbers