671 (base 10) = ____________ (base 9)

  • 825

1101101 (base 2) = ____________ (base 10)

  • 109

557 (base 10) = ____________ (base 16)

  • 22D

601 (base 10) = ____________ (base 9)

  • 737

01D7 (base 16) = ____________ (base 10)

  • 471

A value represented using 16 bits will always be more accurate than a value represented using 8 bits.

  • False

The binary addition of 1 + 1 + 1 + 1 = __________.

  • 0100 (base 2)

A biased floating-point exponent uses some manner of excess-M representation.

  • True

Excess-M notation uses unsigned integers to express negative integers.

  • True

Only a limited range of real numbers can be expressed using the IEEE 754 standard.

  • True

How is -1 (base 10) represented in 8-bit two’s complement notation?

  • 11111111

Assuming we are using the Hamming algorithm presented in your text and even parity to design an error-correcting code, find the code word to represent the 8-bit information word 01001000.

  • 010011001000

The binary string 01000110001000 is a floating-point number expressed using the 14-bit simple model given in your text. (There are no implied bits.) What is its decimal equivalent?

  • 2.125

Convert -52 (base 10) to binary 8-bit one’s complement.

  • 11001011

________ is the hexadecimal symbol for 11.

  • B

509 (base 10) = ____________ (base 16)

  • IFD

1031 (base 5) = ____________ (base 10)

  • 141

10022 (base 3) = ____________ (base 10)

  • 89

138 (base 10) = ____________ (base 5)

  • 1023

Convert 0B2C (base 16) to binary

  • 1011 0010 1100

Overflow is indicated when the carry in to the high-order bit is not equal to the carry out.

  • True

664 (base 9) = ____________ (base 10)

  • 544

ASCII is a 7-bit code, while Unicode is a 16-bit code.

  • True

In order to provide greater range for a floating-point number, we make the significand larger.

  • False

Convert 0.3828125 to binary with 8 bits to the right of the binary point.

  • 0.01100010

122 (base 10) = ____________ (base 2)

  • 1111010

424 (base 8) = ____________ (base 10)

  • 276

How is -9 (base 10) represented in 8-bit two’s complement notation?

  • 11110111

Signed-magnitude and two’s complement both have two representations for zero.

  • False

355 (base 10) = ____________ (base 7)

  • 1015

If the most significant bit of a signed binary number is 1, that number is:

  • negative.

The range of decimal values that can be expressed in 7 bits using binary two’s complement is -32 to 31.

  • False

10122 (base 3) = ____________ (base 10)

  • 98

379 (base 10) = ____________ (base 7)

  • 1051

67 (base 10) = ____________ (base 3)

  • 2111

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

210 (base 10) = ____________ (base 8)

  • 322

247 (base 10) = ____________ (base 8)

  • 367

The largest positive unsigned decimal number that can be expressed in 6 bits is 63.

  • True

CRCs use systematic error detection.

  • True