Hardware & Software Chapter 2 Quiz

67 (base 10) = ____ (base 3): 1112, 1211, 2111, or 2211?

2111

557 (base 10) = ____ (base 16): 22A, A22, 22D, 23E?

22D

424 (base 8) = ____ (base 10): 274, 275, 276, or 278?

276

_______ is the hexadecimal symbol for 11. (A, B, C, or D?)

B

If the most significant bit of a signed binary number is 1, that number is: positive, in hexadecimal format, negative, or incorrect?

Negative

The binary addition of 1 + 1 + 1 + 1 = _____: 1111 (base 2), 0001 (base 2), 0100 (base 2), or 1001 (base 2)?

0100 (base 2)

Convert 0B2C (base 16) to binary: 1011 0010 1101, 1011 0010 1111, 1011 0010 0000, 1011 0010 1100?

1011 0010 1100

355 (base 10) = ____ (base 7)

1015

138 (base 10) = ____ (base 5): 1001, 1002, 1022, or 1023?

1023

379 (base 10) = ____ (base 7): 1051, 1015, 1005, or 1021?

1051

1101101 (base 2) = ____ (base 10): 107, 105, 111, or 109?

109

122 (base 10) = ____ (base 2): 1111 000, 1111 010, 1111 100, 1001 010?

1111 010

How is -9 (base 10) represented in 8-bit two's complement notation: 0000 1001, 1111 0111, 1111 0110, or 1111 1001?

1111 0111

How is -1 (base 10) represented in 8-bit two's complement notation: 1111 1110, 1111 1111, 0000 0001, or 0000 0010?

1111 1111

1031 (base 10) = ____ (base 10): 281, 141, 341, or 333?

141

210 (base 10) = ____ (base 8): 322, 312, 223, or 333?

322

247 (base 10) = ____ (base 8): 377, 367, 387, or 337?

367

01D7 (base 16) = ____ (base 10): 471, 481, 417, or 475?

471

664 (base 9) = ____ (base 10): 524, 544, 511, or 514?

544

601 (base 10) = ____ (base 9)

737

601 (base 10) = ____ (base 9): 700, 717, 727, or 737?

737

671 (base 10) = ____ (base 9): 805, 815, 825, or 835?

825

10022 (base 3) = ____ (base 10): 89, 96, 102, or 93?

89

10122 (base 3) = ____ (base 10): 111, 99, 109, or 98?

98

True or false: The range of decimal values that can be expressed in 7 bits using binary two's complement is -32 to 31.

False

True or false: signed-magnitude and two's complement both have two representations for zero.

False

True or 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

509 (base 10) = ____ (base 16)

IFD

How do you convert decimal (base 10) to another base (binary, hexadecimal, etc.): "Repeatedly divide the decimal number by the number of the other base, tallying the remainder each time until zero is left. The collective remainders make up the converted number, starting with the last remainder as the leftmost digit" or "Take each digit in the to-be converted number, multiple it by the original base number to the power of its order in the number (if 3 digits long it starts at 2, if 4 digits long it starts at 3, etc.), and then add the products together"?

Repeatedly divide the decimal number by the number of the other base, tallying the remainder each time until zero is left. The collective remainders make up the converted number, starting with the last remainder as the leftmost digit

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

True

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

True

True or false: A biased floating-point exponent uses some manner of excess-M representation.

True

How do you convert another base (binary, hexadecimal, etc.) to decimal (base 10): "Repeatedly divide the decimal number by the number of the other base, tallying the remainder each time until zero is left. The collective remainders make up the converted number, starting with the last remainder as the leftmost digit" or "Take each digit in the to-be converted number, multiple it by the original base number to the power of its order in the number (if 3 digits long it starts at 2, if 4 digits long it starts at 3, etc.), and then add the products together"?

Take each digit in the to-be converted number, multiple it by the original base number to the power of its order in the number (if 3 digits long it starts at 2, if 4 digits long it starts at 3, etc.), and then add the products together

True or False: A value represented using 16 bits will always be more accurate than a value represented using 8 bits.

True

True or False: CRCs use systematic error detection.

True

True or False: Excess-M notation uses unsigned integers to express negative integers.

True

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

True

True or false: ASCII is a 7-bit code, while Unicode is a 16-bit code.

True