Homework 2
Convert 0.2578125 to binary with 8 bits to the right of the binary point.
0.01000010
The binary addition of 1 + 1 + 1 + 1 = __________.
0100 (base 2)
Convert -39 (base 10) to 8-bit binary using excess 127 notation.
01011000
Convert 0B2C (base 16) to binary.
1011 0010 1100
1101101 (base 2) = ____________ (base 10)
109
Convert -52 (base 10) to binary 8-bit one's complement.
11001011
Convert -47 (base 10) to binary 8-bit one's complement.
11010000
122 (base 10) = ____________ (base 2)
1111010
How is -9 (base 10) represented in 8-bit two's complement notation?
11110111
How is -1 (base 10) represented in 8-bit two's complement notation?
11111111
167 (base 10) = ____________ (base 5)
1132
1031 (base 5) = ____________ (base 10)
141
509 (base 10) = ____________ (base 16)
1FD
441 (base 8) = ____________ (base 10)
289
210 (base 10) = ____________ (base 8)
322
654 (base 7) = ____________ (base 10)
333
01AF (base 16) = ____________ (base 10)
431
664 (base 9) = ____________ (base 10)
544
601 (base 10) = ____________ (base 9)
737
10022 (base 3) = ____________ (base 10)
89
________ is the hexadecimal symbol for 11.
B
In order to provide greater range for a floating-point number, we make the significand larger.
False
Signed-magnitude and two's complement both have two representations for zero.
False
The general idea of Booth's algorithm is to increase the speed of addition when there are consecutive zeroes or ones in the multiplier.
False
The range of decimal values that can be expressed in 7 bits using binary two's complement is -32 to 31.
False
A biased floating-point exponent uses some manner of excess-M representation.
True
A value represented using 16 bits will always be more accurate than a value represented using 8 bits.
True
ASCII is a 7-bit code, while Unicode is a 16-bit code.
True
Only a limited range of real numbers can be expressed using the IEEE 754 standard.
True
Overflow is indicated when the carry in to the high-order bit is not equal to the carry out.
True
The largest positive unsigned decimal number that can be expressed in 6 bits is 63.
True
If the most significant bit of a signed binary number is 1, that number is:
negative